diff --git a/doc/handbook/5_models.tex b/doc/handbook/5_models.tex index a5d540aa8a0f045dafe85a733bbc683dad4d0e6c..c873cb5dc82aeabd43d8ee4345049e8f0fc34129 100644 --- a/doc/handbook/5_models.tex +++ b/doc/handbook/5_models.tex @@ -125,7 +125,7 @@ $\boldsymbol{v}_\alpha$ & velocity (Darcy or free flow)& & \\ \subsection{Available Models} -We distinguish fully-implicit and decoupled models. A list of all available models can be found +We distinguish fully-implicit and sequential 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. @@ -137,19 +137,19 @@ for spatial and the implicit Euler method as temporal discretization. The models are located in subdirectories of \texttt{dumux/implicit}. -\subsubsection{Decoupled Models} -The basic idea of the decoupled models is to reformulate the +\subsubsection{Sequential Models} +The basic idea of the sequential models is to reformulate the equations of multi-phase flow into one equation for 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 +and can thus be solved sequentially. The most popular sequential 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 +In comparison to a fully implicit model, the sequential 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, +used in the sequential 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. +An $h$-adaptive implementation of both sequential models is provided for two dimensions. diff --git a/doc/handbook/5_stepsofasimulation.tex b/doc/handbook/5_stepsofasimulation.tex index 0e4e0b743a301e497c23282dc293e2b86fc2c52b..c007825028fc1fb7688234d78ed0677fb2a08441 100644 --- a/doc/handbook/5_stepsofasimulation.tex +++ b/doc/handbook/5_stepsofasimulation.tex @@ -22,8 +22,8 @@ This list shows the algorithmic outline of a typical \Dumux run. Each item stand for a characteristic step within the modeling framework. %\clearpage -In Figure \ref{fig:algorithm}, the algorithmic representations of both approaches, the coupled fully -implicit and the decoupled semi-implicit one are illustrated down to the element level. +In Figure \ref{fig:algorithm}, the algorithmic representations of both approaches, the fully +implicit and the sequential one are illustrated down to the element level. \begin{figure}[hbt] \begin{tabular}{ l | l } @@ -117,8 +117,8 @@ finalize \end{minipage} \end{tabular} -\caption{Structure of a coupled fully-implicit (\textbf{left}) and a decoupled -semi-implicit (\textbf{right}) scheme in \Dumux.} +\caption{Structure of a fully implicit (\textbf{left}) and a sequential +(\textbf{right}) scheme in \Dumux.} \label{fig:algorithm} \end{figure}