--- manual/s_algorithm/text/spatial-discrete.tex	2004/10/16 03:40:12	1.17
+++ manual/s_algorithm/text/spatial-discrete.tex	2008/01/22 20:50:41	1.22
@@ -1,4 +1,4 @@
-% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/spatial-discrete.tex,v 1.17 2004/10/16 03:40:12 edhill Exp $
+% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/spatial-discrete.tex,v 1.22 2008/01/22 20:50:41 heimbach Exp $
 % $Name:  $
 
 \section{Spatial discretization of the dynamical equations}
@@ -13,8 +13,6 @@
 representation of the position of the boundary. We treat the
 horizontal and vertical directions as separable and differently.
 
-\input{part2/notation}
-
 
 \subsection{The finite volume method: finite volumes versus finite difference}
 \begin{rawhtml}
@@ -141,8 +139,8 @@
 grid for all panels. a) The area of a tracer cell, $A_c$, is bordered
 by the lengths $\Delta x_g$ and $\Delta y_g$. b) The area of a
 vorticity cell, $A_\zeta$, is bordered by the lengths $\Delta x_c$ and
-$\Delta y_c$. c) The area of a u cell, $A_c$, is bordered by the
-lengths $\Delta x_v$ and $\Delta y_f$. d) The area of a v cell, $A_c$,
+$\Delta y_c$. c) The area of a u cell, $A_w$, is bordered by the
+lengths $\Delta x_v$ and $\Delta y_f$. d) The area of a v cell, $A_s$,
 is bordered by the lengths $\Delta x_f$ and $\Delta y_u$.}
 \label{fig:hgrid}
 \end{figure}
@@ -150,8 +148,8 @@
 The model domain is decomposed into tiles and within each tile a
 quasi-regular grid is used. A tile is the basic unit of domain
 decomposition for parallelization but may be used whether parallelized
-or not; see section \ref{sect:tiles} for more details. Although the
-tiles may be patched together in an unstructured manner
+or not; see section \ref{sect:domain_decomposition} for more details. 
+Although the tiles may be patched together in an unstructured manner
 (i.e. irregular or non-tessilating pattern), the interior of tiles is
 a structured grid of quadrilateral cells. The horizontal coordinate
 system is orthogonal curvilinear meaning we can not necessarily treat
@@ -188,7 +186,7 @@
 Fig.~\ref{fig:hgrid}b shows the vorticity cell. The length of the
 southern edge, $\Delta x_c$, western edge, $\Delta y_c$ and surface
 area, $A_\zeta$, presented in the vertical are stored in arrays {\bf
-DXg}, {\bf DYg} and {\bf rAz}.
+DXc}, {\bf DYc} and {\bf rAz}.
 \marginpar{$A_\zeta$: {\bf rAz}}
 \marginpar{$\Delta x_c$: {\bf DXc}}
 \marginpar{$\Delta y_c$: {\bf DYc}}
@@ -370,7 +368,7 @@
 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