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Commit fdb0a295 authored by Philipp Nuske's avatar Philipp Nuske
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updated model description of mpnc model

git-svn-id: svn://svn.iws.uni-stuttgart.de/DUMUX/dumux/trunk@9085 2fb0f335-1f38-0410-981e-8018bf24f1b0
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...@@ -37,27 +37,21 @@ namespace Dumux ...@@ -37,27 +37,21 @@ namespace Dumux
* are mixtures of \f$N \geq M - 1\f$ chemical species which are * are mixtures of \f$N \geq M - 1\f$ chemical species which are
* denoted by the upper index \f$\kappa \in \{ 1, \dots, N \} \f$. * denoted by the upper index \f$\kappa \in \{ 1, \dots, N \} \f$.
* *
* The standard multi-phase Darcy law is used as the equation for * The momentum approximation can either be selected via "BaseFluxVariables":
* the conservation of momentum: * Darcy (BoxDarcyFluxVariables) and Forchheimer (BoxForchheimerFluxVariables)
* \f[ * relations are available for all Box models.
v_\alpha = - \frac{k_{r\alpha}}{\mu_\alpha} \boldsymbol{K}
\left(
\text{grad}\left(p_\alpha - \varrho_{\alpha} g\right)
\right)
\f]
* *
* By inserting this into the equations for the conservation of the * By inserting this into the equations for the conservation of the
* mass of each component, one gets one mass-continuity equation for * mass of each component, one gets one mass-continuity equation for
* each component \f$\kappa\f$ * each component \f$\kappa\f$
* \f[ * \f[
\sum_{\kappa} \left( \sum_{\kappa} \left(
\phi \frac{\partial \varrho_\alpha x_\alpha^\kappa S_\alpha}{\partial t} \phi \frac{\partial \left(\varrho_\alpha x_\alpha^\kappa S_\alpha\right)}{\partial t}
- +
\mathrm{div}\; \mathrm{div}\;
\left\{ \left\{
v_\alpha
\frac{\varrho_\alpha}{\overline M_\alpha} x_\alpha^\kappa \frac{\varrho_\alpha}{\overline M_\alpha} x_\alpha^\kappa
\frac{k_{r\alpha}}{\mu_\alpha} \boldsymbol{K}
\text{grad}\left( p_\alpha - \varrho_{\alpha} g\right)
\right\} \right\}
\right) \right)
= q^\kappa = q^\kappa
......
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