Commit 0bb6ce89 authored by Christoph Grueninger's avatar Christoph Grueninger
Browse files

[handbook] Improve sub-section concerning available models.


git-svn-id: svn://svn.iws.uni-stuttgart.de/DUMUX/dumux/trunk@15445 2fb0f335-1f38-0410-981e-8018bf24f1b0
parent cd10b157
......@@ -104,7 +104,7 @@ used to order the blocks.
\node at (10,4) {${eqIdx}$};
\node at (10,3.4) {$0$};
\node at (10,2.8) {$1$};
\node at (10,2.2) {$\dots$};
\node at (10,2.2) {$\vdots$};
\node at (10,1.6) {$m-1$};
\fill (11.1,2.1) rectangle (11.3,2.9);
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......@@ -124,35 +124,31 @@ $\boldsymbol{v}_\alpha$ & velocity (Darcy or free flow)& & \\
\end{figure}
\subsection{Available Models}
\todo{modelliste einfügen, auf doxygen verweisen, Text überarbeiten (Christoph)}
The following description of the available models is automatically extracted
from the Doxygen documentation.
\subsection{Implicit and Decoupled Models}
We distinguish fully-implicit and decoupled models. A list of all available models can be found
in the Doxygen documentation at
\url{http://www.dumux.org/doxygen-stable/html-2.8/modules.php}.
The documentation includes a detailed description for every model.
\subsubsection{Fully-Implicit Models}
\todo{überarbeiten (Christoph)}
The fully-implicit models described in this section are using the box or the
cell centered finite volume method as described in section \ref{box} and \ref{cc}
The fully-implicit models are using the box or the
cell-centered finite volume method as described in section \ref{box} and \ref{cc}
for spatial and the implicit Euler
method as temporal discretization. The models themselves are located in
subdirectories of \texttt{dumux/implicit} of the \Dumux distribution.
method as temporal discretization. The models are located in
subdirectories of \texttt{dumux/implicit}.
\subsubsection{Decoupled Models}
\todo{überarbeiten (Christoph)}
The basic idea the so-called decoupled models have in common is to reformulate the
The basic idea of the decoupled models is to reformulate the
equations of multi-phase flow into one equation for
pressure and equations for phase-/component-/etc. transport. The pressure equation
pressure and equations for phase/component/... 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
and can thus be solved sequentially. The most popular decoupled model is the
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
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.
An $h$-adaptive implementation of both decoupled models is provided for two dimensions.
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