From 05f9f3a1605f0dcff0a118deb9675ff7ca8d096d Mon Sep 17 00:00:00 2001
From: Martin Schneider <martin.schneider@iws.uni-stuttgart.de>
Date: Wed, 2 Apr 2014 07:24:41 +0000
Subject: [PATCH] Updated model descriptions, switched from stokes2c to
stokesNc.
(reviewed by Alex)
git-svn-id: svn://svn.iws.uni-stuttgart.de/DUMUX/dumux/trunk@12706 2fb0f335-1f38-0410-981e-8018bf24f1b0
---
.../ModelDescriptions/2pdecoupledpressuremodel.tex | 2 +-
.../ModelDescriptions/2pdecoupledsaturationmodel.tex | 2 +-
doc/handbook/ModelDescriptions/co2implicitmodel.tex | 2 +-
doc/handbook/ModelDescriptions/co2niimplicitmodel.tex | 2 +-
doc/handbook/ModelDescriptions/mpncimplicitmodel.tex | 2 +-
...tokes2cimplicitmodel.tex => stokesncimplicitmodel.tex} | 6 +++---
...s2cniimplicitmodel.tex => stokesncniimplicitmodel.tex} | 4 ++--
doc/handbook/models.tex | 8 ++++----
8 files changed, 14 insertions(+), 14 deletions(-)
rename doc/handbook/ModelDescriptions/{stokes2cimplicitmodel.tex => stokesncimplicitmodel.tex} (62%)
rename doc/handbook/ModelDescriptions/{stokes2cniimplicitmodel.tex => stokesncniimplicitmodel.tex} (83%)
diff --git a/doc/handbook/ModelDescriptions/2pdecoupledpressuremodel.tex b/doc/handbook/ModelDescriptions/2pdecoupledpressuremodel.tex
index 5e8ce73d1c..bffc37b6ae 100644
--- a/doc/handbook/ModelDescriptions/2pdecoupledpressuremodel.tex
+++ b/doc/handbook/ModelDescriptions/2pdecoupledpressuremodel.tex
@@ -18,7 +18,7 @@ In the I\-M\-P\-E\-S models the default setting is\-:
\begin{itemize}
-\item formulation\-: $ p_w-S_w $ (Property\-: {\itshape Formulation} defined as {\itshape \hyperlink{a00096_a601a847774d6e1b2e2a2b469f70c3f22}{Decoupled\-Two\-P\-Common\-Indices\-::pwsw}})
+\item formulation\-: $ p_w-S_w $ (Property\-: {\itshape Formulation} defined as {\itshape \hyperlink{a00095_a601a847774d6e1b2e2a2b469f70c3f22}{Decoupled\-Two\-P\-Common\-Indices\-::pwsw}})
\item compressibility\-: disabled (Property\-: {\itshape Enable\-Compressibility} set to {\itshape false})
\end{itemize}
diff --git a/doc/handbook/ModelDescriptions/2pdecoupledsaturationmodel.tex b/doc/handbook/ModelDescriptions/2pdecoupledsaturationmodel.tex
index 7f121c5bb2..8bf9b712ef 100644
--- a/doc/handbook/ModelDescriptions/2pdecoupledsaturationmodel.tex
+++ b/doc/handbook/ModelDescriptions/2pdecoupledsaturationmodel.tex
@@ -16,7 +16,7 @@ The total velocity formulation is only implemented for incompressible fluids and
In the I\-M\-P\-E\-S models the default setting is\-:
-formulation\-: $ p_w $ -\/ $ S_w $ (Property\-: {\itshape Formulation} defined as {\itshape \hyperlink{a00096_a601a847774d6e1b2e2a2b469f70c3f22}{Decoupled\-Two\-P\-Common\-Indices\-::pwsw}})
+formulation\-: $ p_w $ -\/ $ S_w $ (Property\-: {\itshape Formulation} defined as {\itshape \hyperlink{a00095_a601a847774d6e1b2e2a2b469f70c3f22}{Decoupled\-Two\-P\-Common\-Indices\-::pwsw}})
compressibility\-: disabled (Property\-: {\itshape Enable\-Compressibility} set to {\itshape false})
diff --git a/doc/handbook/ModelDescriptions/co2implicitmodel.tex b/doc/handbook/ModelDescriptions/co2implicitmodel.tex
index 80a8d27b74..9cf12fd170 100644
--- a/doc/handbook/ModelDescriptions/co2implicitmodel.tex
+++ b/doc/handbook/ModelDescriptions/co2implicitmodel.tex
@@ -4,5 +4,5 @@
% file instead!! %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-See \hyperlink{a00557}{Two\-P\-Two\-C\-Model} for reference to the equations used. The \hyperlink{a00072}{C\-O2} model is derived from the 2p2c model. In the \hyperlink{a00072}{C\-O2} model the phase switch criterion is different from the 2p2c model. The phase switch occurs when the equilibrium concentration of a component in a phase is exceeded, instead of the sum of the components in the virtual phase (the phase which is not present) being greater that unity as done in the 2p2c model. The \hyperlink{a00079}{C\-O2\-Volume\-Variables} do not use a constraint solver for calculating the mole fractions as is the case in the 2p2c model. Instead mole fractions are calculated in the Fluid\-System with a given temperature, pressurem and salinity. The model is able to use either mole or mass fractions. The property use\-Moles can be set to either true or false in the problem file. Make sure that the according units are used in the problem setup. use\-Moles is set to false by default.
+See \hyperlink{a00591}{Two\-P\-Two\-C\-Model} for reference to the equations used. The \hyperlink{a00073}{C\-O2} model is derived from the 2p2c model. In the \hyperlink{a00073}{C\-O2} model the phase switch criterion is different from the 2p2c model. The phase switch occurs when the equilibrium concentration of a component in a phase is exceeded, instead of the sum of the components in the virtual phase (the phase which is not present) being greater that unity as done in the 2p2c model. The \hyperlink{a00080}{C\-O2\-Volume\-Variables} do not use a constraint solver for calculating the mole fractions as is the case in the 2p2c model. Instead mole fractions are calculated in the Fluid\-System with a given temperature, pressurem and salinity. The model is able to use either mole or mass fractions. The property use\-Moles can be set to either true or false in the problem file. Make sure that the according units are used in the problem setup. use\-Moles is set to false by default.
diff --git a/doc/handbook/ModelDescriptions/co2niimplicitmodel.tex b/doc/handbook/ModelDescriptions/co2niimplicitmodel.tex
index 3cf083b448..140b528980 100644
--- a/doc/handbook/ModelDescriptions/co2niimplicitmodel.tex
+++ b/doc/handbook/ModelDescriptions/co2niimplicitmodel.tex
@@ -4,5 +4,5 @@
% file instead!! %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-See Two\-P\-Two\-C\-N\-I model for reference to the equations. The C\-O2\-N\-I model is derived from the \hyperlink{a00072}{C\-O2} model. In the \hyperlink{a00072}{C\-O2} model the phase switch criterion is different from the 2p2c model. The phase switch occurs when the equilibrium concentration of a component in a phase is exceeded instead of the sum of the components in the virtual phase (the phase which is not present) being greater that unity as done in the 2p2c model. The \hyperlink{a00079}{C\-O2\-Volume\-Variables} do not use a constraint solver for calculating the mole fractions as is the case in the 2p2c model. Instead mole fractions are calculated in the Fluid\-System with a given temperature, pressure and salinity.
+See Two\-P\-Two\-C\-N\-I model for reference to the equations. The C\-O2\-N\-I model is derived from the \hyperlink{a00073}{C\-O2} model. In the \hyperlink{a00073}{C\-O2} model the phase switch criterion is different from the 2p2c model. The phase switch occurs when the equilibrium concentration of a component in a phase is exceeded instead of the sum of the components in the virtual phase (the phase which is not present) being greater that unity as done in the 2p2c model. The \hyperlink{a00080}{C\-O2\-Volume\-Variables} do not use a constraint solver for calculating the mole fractions as is the case in the 2p2c model. Instead mole fractions are calculated in the Fluid\-System with a given temperature, pressure and salinity.
diff --git a/doc/handbook/ModelDescriptions/mpncimplicitmodel.tex b/doc/handbook/ModelDescriptions/mpncimplicitmodel.tex
index bcdc193391..ebd4339c89 100644
--- a/doc/handbook/ModelDescriptions/mpncimplicitmodel.tex
+++ b/doc/handbook/ModelDescriptions/mpncimplicitmodel.tex
@@ -6,7 +6,7 @@
This model implements a $M$-\/phase flow of a fluid mixture composed of $N$ chemical species. The phases are denoted by lower index $\alpha \in \{ 1, \dots, M \}$. All fluid phases are mixtures of $N \geq M - 1$ chemical species which are denoted by the upper index $\kappa \in \{ 1, \dots, N \} $.
-The momentum approximation can be selected via \char`\"{}\-Base\-Flux\-Variables\char`\"{}\-: Darcy (\hyperlink{a00267}{Implicit\-Darcy\-Flux\-Variables}) and Forchheimer (\hyperlink{a00268}{Implicit\-Forchheimer\-Flux\-Variables}) relations are available for all Box models.
+The momentum approximation can be selected via \char`\"{}\-Base\-Flux\-Variables\char`\"{}\-: Darcy (\hyperlink{a00270}{Implicit\-Darcy\-Flux\-Variables}) and Forchheimer (\hyperlink{a00271}{Implicit\-Forchheimer\-Flux\-Variables}) relations are available for all Box models.
By inserting this into the equations for the conservation of the mass of each component, one gets one mass-\/continuity equation for each component $\kappa$ \[ \sum_{\kappa} \left( \phi \frac{\partial \left(\varrho_\alpha x_\alpha^\kappa S_\alpha\right)}{\partial t} + \mathrm{div}\; \left\{ v_\alpha \frac{\varrho_\alpha}{\overline M_\alpha} x_\alpha^\kappa \right\} \right) = q^\kappa \] with $\overline M_\alpha$ being the average molar mass of the phase $\alpha$\-: \[ \overline M_\alpha = \sum_\kappa M^\kappa \; x_\alpha^\kappa \]
diff --git a/doc/handbook/ModelDescriptions/stokes2cimplicitmodel.tex b/doc/handbook/ModelDescriptions/stokesncimplicitmodel.tex
similarity index 62%
rename from doc/handbook/ModelDescriptions/stokes2cimplicitmodel.tex
rename to doc/handbook/ModelDescriptions/stokesncimplicitmodel.tex
index 5ffdf2893a..a7db0e0577 100644
--- a/doc/handbook/ModelDescriptions/stokes2cimplicitmodel.tex
+++ b/doc/handbook/ModelDescriptions/stokesncimplicitmodel.tex
@@ -4,13 +4,13 @@
% file instead!! %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-This model implements an isothermal two-\/component Stokes flow of a fluid solving a momentum balance, a mass balance and a conservation equation for one component.
+This model implements an isothermal n-\/component Stokes flow of a fluid solving a momentum balance, a mass balance and a conservation equation for each component. When using mole fractions naturally the densities represent molar densites
Momentum Balance\-: \[ \frac{\partial \left(\varrho_g {\boldsymbol{v}}_g\right)}{\partial t} + \boldsymbol{\nabla} \boldsymbol{\cdot} \left(p_g {\bf {I}} - \mu_g \left(\boldsymbol{\nabla} \boldsymbol{v}_g + \boldsymbol{\nabla} \boldsymbol{v}_g^T\right)\right) - \varrho_g {\bf g} = 0, \]
Mass balance equation\-: \[ \frac{\partial \varrho_g}{\partial t} + \boldsymbol{\nabla}\boldsymbol{\cdot}\left(\varrho_g {\boldsymbol{v}}_g\right) - q_g = 0 \]
-\hyperlink{a00085}{Component} mass balance equation\-: \[ \frac{\partial \left(\varrho_g X_g^\kappa\right)}{\partial t} + \boldsymbol{\nabla} \boldsymbol{\cdot} \left( \varrho_g {\boldsymbol{v}}_g X_g^\kappa - D^\kappa_g \varrho_g \frac{M^\kappa}{M_g} \boldsymbol{\nabla} x_g^\kappa \right) - q_g^\kappa = 0 \]
+\hyperlink{a00084}{Component} mass balance equations\-: \[ \frac{\partial \left(\varrho_g X_g^\kappa\right)}{\partial t} + \boldsymbol{\nabla} \boldsymbol{\cdot} \left( \varrho_g {\boldsymbol{v}}_g X_g^\kappa - D^\kappa_g \varrho_g \boldsymbol{\nabla} X_g^\kappa \right) - q_g^\kappa = 0 \]
-This is discretized using a fully-\/coupled vertex centered finite volume (box) scheme as spatial and the implicit Euler method as temporal discretization.
+This is discretized using a fully-\/coupled vertex centered finite volume (box) scheme as spatial and the implicit Euler method in time.
diff --git a/doc/handbook/ModelDescriptions/stokes2cniimplicitmodel.tex b/doc/handbook/ModelDescriptions/stokesncniimplicitmodel.tex
similarity index 83%
rename from doc/handbook/ModelDescriptions/stokes2cniimplicitmodel.tex
rename to doc/handbook/ModelDescriptions/stokesncniimplicitmodel.tex
index 7964642684..76c9321d17 100644
--- a/doc/handbook/ModelDescriptions/stokes2cniimplicitmodel.tex
+++ b/doc/handbook/ModelDescriptions/stokesncniimplicitmodel.tex
@@ -4,13 +4,13 @@
% file instead!! %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-This model implements a non-\/isothermal two-\/component Stokes flow of a fluid solving a momentum balance, a mass balance, a conservation equation for one component, and one balance equation for the energy.
+This model implements a non-\/isothermal n-\/component Stokes flow of a fluid solving a momentum balance, a mass balance, a conservation equation for one component, and one balance equation for the energy.
Momentum Balance\-: \[ \frac{\partial \left(\varrho_g {\boldsymbol{v}}_g\right)}{\partial t} + \boldsymbol{\nabla} \boldsymbol{\cdot} \left(p_g {\bf {I}} - \mu_g \left(\boldsymbol{\nabla} \boldsymbol{v}_g + \boldsymbol{\nabla} \boldsymbol{v}_g^T\right)\right) - \varrho_g {\bf g} = 0, \]
Mass balance equation\-: \[ \frac{\partial \varrho_g}{\partial t} + \boldsymbol{\nabla}\boldsymbol{\cdot}\left(\varrho_g {\boldsymbol{v}}_g\right) - q_g = 0 \]
-\hyperlink{a00085}{Component} mass balance equation\-: \[ \frac{\partial \left(\varrho_g X_g^\kappa\right)}{\partial t} + \boldsymbol{\nabla} \boldsymbol{\cdot} \left( \varrho_g {\boldsymbol{v}}_g X_g^\kappa - D^\kappa_g \varrho_g \frac{M^\kappa}{M_g} \boldsymbol{\nabla} x_g^\kappa \right) - q_g^\kappa = 0 \]
+\hyperlink{a00084}{Component} mass balance equation\-: \[ \frac{\partial \left(\varrho_g X_g^\kappa\right)}{\partial t} + \boldsymbol{\nabla} \boldsymbol{\cdot} \left( \varrho_g {\boldsymbol{v}}_g X_g^\kappa - D^\kappa_g \varrho_g \frac{M^\kappa}{M_g} \boldsymbol{\nabla} x_g^\kappa \right) - q_g^\kappa = 0 \]
Energy balance equation\-: \[ \frac{\partial (\varrho_g u_g)}{\partial t} + \boldsymbol{\nabla} \left( \boldsymbol{\cdot} \varrho_g h_g {\boldsymbol{v}}_g - \lambda_g \boldsymbol{\nabla} T \right) - q_T = 0 \]
diff --git a/doc/handbook/models.tex b/doc/handbook/models.tex
index 86b8d3b51d..acd3d7b04d 100644
--- a/doc/handbook/models.tex
+++ b/doc/handbook/models.tex
@@ -252,11 +252,11 @@ subdirectories of \texttt{dumux/implicit} of the \Dumux distribution.
\subsubsection{The Stokes model: StokesModel}
\input{ModelDescriptions/stokesimplicitmodel}
-\subsubsection{The isothermal two-component Stokes model: Stokes2cModel}
-\input{ModelDescriptions/stokes2cimplicitmodel}
+\subsubsection{The isothermal $N$-component Stokes model: StokesNcModel}
+\input{ModelDescriptions/stokesncimplicitmodel}
-\subsubsection{The non-isothermal two-component Stokes model: Stokes2cniModel}
-\input{ModelDescriptions/stokes2cniimplicitmodel}
+\subsubsection{The non-isothermal $N$-component Stokes model: StokesNcNIModel}
+\input{ModelDescriptions/stokesncniimplicitmodel}
\subsubsection{The linear elastic model: ElasticModel}
\input{ModelDescriptions/elasticmodel}
--
GitLab