mirror of
https://github.com/OPM/opm-simulators.git
synced 2024-12-23 16:00:01 -06:00
0c1a15c2de
- there are no LaTeX files with capital letters anymore - there are no more "dangling" references
48 lines
2.1 KiB
TeX
48 lines
2.1 KiB
TeX
\chapter[Tutorial]{Tutorial}\label{chp:tutorial}
|
|
|
|
\eWoms provides two sorts of models: Models which use a fully-implicit
|
|
discretization in space and time and models that are
|
|
semi-implicit.
|
|
|
|
The semi-implicit solve the combined mass balance equation for all
|
|
phases implicitly -- which yields a pressure -- and then transport the
|
|
conserved quantities in an explicit step based on the result of the
|
|
(implicit) pressure step. For this reason these models are also called
|
|
to be based on the IMPES approach (\textbf{i}mplicit \textbf{p}ressure
|
|
\textbf{e}xplicit \textbf{s}aturation) or, more generally, on the
|
|
IMPET approach (IMPES (\textbf{i}mplicit \textbf{p}ressure
|
|
\textbf{e}xplicit \textbf{t}ransport).
|
|
|
|
The fully-implicit models, describe the conservation quantities of a
|
|
flow system as a system of strongly coupled partial differential
|
|
equations. Physically, these conservation quantities are mass,
|
|
momentum and energy; Although the momentum is usually not explicitly
|
|
conserved in the context of flow models for porous media.
|
|
|
|
In section \ref{box} a short introduction to the vertex centered
|
|
finite volume scheme (VCFV or box method) used by \eWoms as the
|
|
spatial discretization of the fully-implicit models is given. The
|
|
decoupled models usually employ a cell-centered finite volume scheme
|
|
which is quite similar to the VCFV discretization, except that this
|
|
scheme does not require to construct a dual grid centered around the
|
|
primary grid's vertices.
|
|
|
|
|
|
The following two sections of the tutorial first introduce how to
|
|
solve flow problems using a fully-coupled model (section
|
|
\ref{tutorial-coupled}) and then how to solve the same problem using a
|
|
semi-implicit model (section \ref{tutorial-decoupled}). Being the
|
|
easiest case, an isothermal two-phase system (two fluid phases, one
|
|
solid phase) will be considered. The source code of these tutorials is
|
|
shipped with the \eWoms source package and can be found in the
|
|
\texttt{tutorial} directory.
|
|
|
|
\input{tutorial-coupled}
|
|
\input{tutorial-decoupled}
|
|
%\input{tutorial-newmodel}
|
|
|
|
%%% Local Variables:
|
|
%%% mode: latex
|
|
%%% TeX-master: "ewoms-handbook"
|
|
%%% End:
|