--- manual/s_algorithm/text/spatial-discrete.tex 2004/10/13 18:50:54 1.16 +++ manual/s_algorithm/text/spatial-discrete.tex 2004/10/17 04:14:21 1.18 @@ -1,7 +1,10 @@ -% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/spatial-discrete.tex,v 1.16 2004/10/13 18:50:54 jmc Exp $ +% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/spatial-discrete.tex,v 1.18 2004/10/17 04:14:21 jmc Exp $ % $Name: $ \section{Spatial discretization of the dynamical equations} +\begin{rawhtml} + +\end{rawhtml} Spatial discretization is carried out using the finite volume method. This amounts to a grid-point method (namely second-order @@ -367,7 +370,7 @@ The above grid (Fig.~\ref{fig:vgrid}a) is known as the cell centered approach because the tracer points are at cell centers; the cell centers are mid-way between the cell interfaces. -This discretisation is selected when the thickness of the +This discretization is selected when the thickness of the levels are provided ({\bf delR}, parameter file {\em data}, namelist {\em PARM04}) An alternative, the vertex or interface centered approach, is shown in @@ -473,6 +476,10 @@ \section{Continuity and horizontal pressure gradient terms} +\begin{rawhtml} + +\end{rawhtml} + The core algorithm is based on the ``C grid'' discretization of the continuity equation which can be summarized as: @@ -511,6 +518,9 @@ evaporation and only enters the top-level of the {\em ocean} model. \section{Hydrostatic balance} +\begin{rawhtml} + +\end{rawhtml} The vertical momentum equation has the hydrostatic or quasi-hydrostatic balance on the right hand side. This discretization