diff --git a/dumux/boxmodels/1p/1pmodel.hh b/dumux/boxmodels/1p/1pmodel.hh index 3f6ddc90c41b224f4d2fac40ba90f03b387d1f30..7c15dfa9f0225baddf8054174156a29e75d6da84 100644 --- a/dumux/boxmodels/1p/1pmodel.hh +++ b/dumux/boxmodels/1p/1pmodel.hh @@ -40,14 +40,13 @@ namespace Dumux { /*! * \ingroup OnePBoxModel - * \brief Adaption of the BOX scheme to the single phase isothermal flow model. + * \brief Adaption of the BOX scheme to the single-phase isothermal flow model. * - * Single phase compressible isothermal flow model, + * Single-phase compressible isothermal flow model, * \f{align*} - * \phi \frac{\partial \varrho}{\partial t} + \vec{\nabla} \cdot (- \varrho \frac{\bar{\bar{K}}}{\mu} ( \nabla p -\varrho \vec{g})) = q, + * \phi \frac{\partial \varrho}{\partial t} + \text{div} (- \varrho \frac{\textbf K}{\mu} ( \text{grad}\, p -\varrho {\textbf g})) = q, * \f} - * discretized using a vertex - * centered finite volume (box) scheme as spatial and + * discretized using a vertex-centered finite volume (box) scheme as spatial and * the implicit Euler method as time discretization. * Of course, the model can also be used for incompressible * single phase flow modeling, if a fluid with constant density is chosen in the problem file. diff --git a/dumux/boxmodels/1p2c/1p2cmodel.hh b/dumux/boxmodels/1p2c/1p2cmodel.hh index bc56bf2c68760a3b352be828b9fbda65100ff5d9..f18c9b73d7586f3a08d4bef1eca501aed7164d05 100644 --- a/dumux/boxmodels/1p2c/1p2cmodel.hh +++ b/dumux/boxmodels/1p2c/1p2cmodel.hh @@ -49,26 +49,26 @@ namespace Dumux * using a standard Darcy * approach as the equation for the conservation of momentum: \f[ - v_{D} = - \frac{K}{\mu} - \left(\text{grad} p - \varrho g \right) + v_{D} = - \frac{\textbf K}{\mu} + \left(\text{grad} p - \varrho {\textbf g} \right) \f] * * Gravity can be enabled or disabled via the property system. * By inserting this into the continuity equation, one gets \f[ \Phi \frac{\partial \varrho}{\partial t} - \text{div} \left\{ - \varrho \frac{K}{\mu} \left(\text{grad} p - \varrho g \right) + \varrho \frac{\textbf K}{\mu} \left(\text{grad}\, p - \varrho {\textbf g} \right) \right\} = q \;, \f] * * The transport of the components is described by the following equation: \f[ - \Phi \frac{ \partial \varrho}{\partial t} - \text{div} \left( \varrho \frac{K x}{\mu} \left( \text{grad} p - - \varrho g \right) + \varrho \tau \Phi D \text{grad} x \right) = q. + \Phi \frac{ \partial \varrho x}{\partial t} - \text{div} \left( \varrho \frac{{\textbf K} x}{\mu} \left( \text{grad}\, p - + \varrho {\textbf g} \right) + \varrho \tau \Phi D \text{grad} x \right) = q. \f] * - * All equations are discretized using a fully-coupled vertex - * centered finite volume (box) scheme as spatial and + * All equations are discretized using a fully-coupled vertex-centered + * finite volume (box) scheme as spatial and * the implicit Euler method as time discretization. * * The primary variables are the pressure \f$p\f$ and the mole or mass fraction of dissolved component \f$x\f$. diff --git a/dumux/boxmodels/2p/2pmodel.hh b/dumux/boxmodels/2p/2pmodel.hh index 6e68d8e4e183d235475c56e565e7a29547767074..c85084449da779e9f2bd868ea9e29cd5ce1d401e 100644 --- a/dumux/boxmodels/2p/2pmodel.hh +++ b/dumux/boxmodels/2p/2pmodel.hh @@ -45,8 +45,8 @@ namespace Dumux * \f$\alpha \in \{ w, n \}\f$ using a standard multiphase Darcy * approach as the equation for the conservation of momentum: \f[ - v_\alpha = - \frac{k_{r\alpha}}{\mu_\alpha} \mbox{\bf K} - \left(\text{grad} p_\alpha - \varrho_{\alpha} \mbox{\bf g} \right) + v_\alpha = - \frac{k_{r\alpha}}{\mu_\alpha} \textbf K} + \left(\text{grad}\, p_\alpha - \varrho_{\alpha} {\textbf g} \right) \f] * * By inserting this into the equation for the conservation of the diff --git a/dumux/boxmodels/2p2c/2p2cmodel.hh b/dumux/boxmodels/2p2c/2p2cmodel.hh index b2f0cdf80520005e0adfdf4fde746c222e253180..ebd74dd92a87d30dd0bbc2038bb3cc7a05cd0a63 100644 --- a/dumux/boxmodels/2p2c/2p2cmodel.hh +++ b/dumux/boxmodels/2p2c/2p2cmodel.hh @@ -55,7 +55,7 @@ namespace Dumux \frac{k_{r\alpha}}{\mu_\alpha} \mbox{\bf K} (\text{grad}\, p_\alpha - \varrho_{\alpha} \mbox{\bf g}) \right\} \nonumber \\ \nonumber \\ - &-& \sum_\alpha \text{div} \left\{{\bf D_{\alpha, pm}^\kappa} \varrho_{\alpha} \text{grad}\, X^\kappa_{\alpha} \right\} + &-& \sum_\alpha \text{div} \left\{{\bf D}_{\alpha, pm}^\kappa \varrho_{\alpha} \text{grad}\, X^\kappa_{\alpha} \right\} - \sum_\alpha q_\alpha^\kappa = 0 \qquad \kappa \in \{w, a\} \, , \alpha \in \{w, g\} \f} diff --git a/dumux/boxmodels/2p2cni/2p2cnimodel.hh b/dumux/boxmodels/2p2cni/2p2cnimodel.hh index 2f551b8fb18a8f4def11560643aa9d8e5991d48c..ad8891db35955af7443675f5c49ed803f89fb0ae 100644 --- a/dumux/boxmodels/2p2cni/2p2cnimodel.hh +++ b/dumux/boxmodels/2p2cni/2p2cnimodel.hh @@ -47,7 +47,7 @@ namespace Dumux { - \sum_\alpha \text{div} \left\{ \varrho_\alpha X_\alpha^\kappa \frac{k_{r\alpha}}{\mu_\alpha} \mbox{\bf K} (\text{grad}\, p_\alpha - \varrho_{\alpha} \mbox{\bf g}) \right\}\\ - &-& \sum_\alpha \text{div} \left\{{\bf D_{\alpha, pm}^\kappa} \varrho_{\alpha} \text{grad}\, X^\kappa_{\alpha} \right\} + &-& \sum_\alpha \text{div} \left\{{\bf D}_{\alpha, pm}^\kappa \varrho_{\alpha} \text{grad}\, X^\kappa_{\alpha} \right\} - \sum_\alpha q_\alpha^\kappa = 0 \qquad \kappa \in \{w, a\} \, , \alpha \in \{w, n\} * \f} diff --git a/dumux/boxmodels/3p3c/3p3cmodel.hh b/dumux/boxmodels/3p3c/3p3cmodel.hh index 0d41f8b3e98b55a2de29490daf31a9bdb51b322c..3ba9de566f9cab4e08e12e205d022567ed975891 100644 --- a/dumux/boxmodels/3p3c/3p3cmodel.hh +++ b/dumux/boxmodels/3p3c/3p3cmodel.hh @@ -59,13 +59,13 @@ namespace Dumux * \f{eqnarray} && \phi \frac{\partial (\sum_\alpha \varrho_{\text{mol}, \alpha} x_\alpha^\kappa S_\alpha )}{\partial t} - - \sum\limits_\alpha \nabla \cdot \left\{ \frac{k_{r\alpha}}{\mu_\alpha} + - \sum\limits_\alpha \text{div} \left\{ \frac{k_{r\alpha}}{\mu_\alpha} \varrho_{\text{mol}, \alpha} x_\alpha^\kappa \mbox{\bf K} - (\nabla p_\alpha - \varrho_{\text{mass}, \alpha} \mbox{\bf g}) \right\} + (\text{grad}\, p_\alpha - \varrho_{\text{mass}, \alpha} \mbox{\bf g}) \right\} \nonumber \\ \nonumber \\ - && - \sum\limits_\alpha \nabla \cdot \left\{ D_{pm}^\kappa \varrho_{\text{mol}, - \alpha } \nabla x_\alpha^\kappa \right\} + && - \sum\limits_\alpha \text{div} \left\{ D_{pm}^\kappa \varrho_{\text{mol}, + \alpha } \text{grad}\, x_\alpha^\kappa \right\} - q^\kappa = 0 \qquad \forall \kappa , \; \forall \alpha \f} * diff --git a/dumux/boxmodels/3p3cni/3p3cnimodel.hh b/dumux/boxmodels/3p3cni/3p3cnimodel.hh index 233712bd74a76fb31ccffc9fd8cf7926b73b36c2..d5a701dda565bd0654c4d9fc619f7f158149dba5 100644 --- a/dumux/boxmodels/3p3cni/3p3cnimodel.hh +++ b/dumux/boxmodels/3p3cni/3p3cnimodel.hh @@ -52,13 +52,13 @@ namespace Dumux { * \f{eqnarray*} && \phi \frac{\partial (\sum_\alpha \varrho_{\text{mol}, \alpha} x_\alpha^\kappa S_\alpha )}{\partial t} - - \sum\limits_\alpha \nabla \cdot \left\{ \frac{k_{r\alpha}}{\mu_\alpha} + - \sum\limits_\alpha \text{div} \left\{ \frac{k_{r\alpha}}{\mu_\alpha} \varrho_{\text{mol}, \alpha} x_\alpha^\kappa \mbox{\bf K} - (\nabla p_\alpha - \varrho_{\text{mass}, \alpha} \mbox{\bf g}) \right\} + (\text{grad}\; p_\alpha - \varrho_{\text{mass}, \alpha} \mbox{\bf g}) \right\} \nonumber \\ \nonumber \\ - && - \sum\limits_\alpha \nabla \cdot \left\{ D_{pm}^\kappa \varrho_{\text{mol}, - \alpha } \nabla x_\alpha^\kappa \right\} + && - \sum\limits_\alpha \text{div} \left\{ D_{pm}^\kappa \varrho_{\text{mol}, + \alpha } \text{grad} \; x_\alpha^\kappa \right\} - q^\kappa = 0 \qquad \forall \kappa , \; \forall \alpha \f} * diff --git a/dumux/boxmodels/richards/richardsmodel.hh b/dumux/boxmodels/richards/richardsmodel.hh index df69183cae96b61857ac29d9326d443c062f299d..e31c2f9245828625678b6ee5cc474859ac962aac 100644 --- a/dumux/boxmodels/richards/richardsmodel.hh +++ b/dumux/boxmodels/richards/richardsmodel.hh @@ -48,9 +48,9 @@ namespace Dumux \f[ \frac{\partial\;\phi S_\alpha \rho_\alpha}{\partial t} - - \mathbf{div} \left\{ - \rho_\alpha \frac{k_{r\alpha}}{\mu_\alpha}\;K - \mathbf{grad}\left[ + \text{div} \left\{ + \rho_\alpha \frac{k_{r\alpha}}{\mu_\alpha}\; {\textbf K} + \text{grad}\left[ p_\alpha - g\rho_\alpha \right] \right\}