From e6be4357455688341c80595a184ebac28ba981fd Mon Sep 17 00:00:00 2001
From: Markus Wolff <markus.wolff@twt-gmbh.de>
Date: Wed, 22 Feb 2012 12:44:24 +0000
Subject: [PATCH] added introduction for decoupled model description
git-svn-id: svn://svn.iws.uni-stuttgart.de/DUMUX/dumux/trunk@7860 2fb0f335-1f38-0410-981e-8018bf24f1b0
---
doc/handbook/models.tex | 9 +++++++--
1 file changed, 7 insertions(+), 2 deletions(-)
diff --git a/doc/handbook/models.tex b/doc/handbook/models.tex
index d1851d6962..ab677c1c22 100644
--- a/doc/handbook/models.tex
+++ b/doc/handbook/models.tex
@@ -194,11 +194,16 @@ subdirectories of \texttt{dumux/boxmodels} of the \Dumux distribution.
\input{ModelDescriptions/stokes2cnimodel}
\subsection{Decoupled models}
+%
+The basic idea the so-called decoupled models have in common is to reformulate the equations of multi-phase flow (e.g. Eq. \ref{A3:eqmass1}) into one equation for pressure and equations for phase-/component-/etc. transport. The pressure equation is the sum of the mass balance equations and thus considers the total flow of the fluid system. The new set of equations is considered as decoupled (or weakly coupled) and can thus be solved sequentially. The most popular decoupled model is the so-called fractional flow formulation for two-phase flow which is usually implemented applying an IMplicit Pressure Explicit Saturation algorithm (IMPES).
+In comparison to a fully implicit model, the decoupled structure allows the use of different discretization methods for the different equations. The standard method used in the decoupled models is a cell centered finite volume method. Further schemes, so far only available for the two-phase pressure equation, are cell centered finite volumes with multi-point flux approximation (MPFA O-method) and mimetic finite differences.
+%
+\subsubsection{The one-phase model}
-\subsubsection{FractionalFlow Model}
+\subsection{The two-phase model}
\input{ModelDescriptions/2pdecoupledmodel}
-\subsubsection{Decoupled Compositional Models}
+\subsubsection{The two-phase, two-component model}
\input{ModelDescriptions/decoupled2p2c}
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