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revision 1.18 by jmc, Sun Oct 17 04:14:21 2004 UTC revision 1.21 by jmc, Wed Jun 28 16:55:53 2006 UTC
# Line 13  boundaries to intersect a regular grid a Line 13  boundaries to intersect a regular grid a
13  representation of the position of the boundary. We treat the  representation of the position of the boundary. We treat the
14  horizontal and vertical directions as separable and differently.  horizontal and vertical directions as separable and differently.
15    
 \input{part2/notation}  
   
16    
17  \subsection{The finite volume method: finite volumes versus finite difference}  \subsection{The finite volume method: finite volumes versus finite difference}
18  \begin{rawhtml}  \begin{rawhtml}
# Line 141  grid lines indicate the tracer cell boun Line 139  grid lines indicate the tracer cell boun
139  grid for all panels. a) The area of a tracer cell, $A_c$, is bordered  grid for all panels. a) The area of a tracer cell, $A_c$, is bordered
140  by the lengths $\Delta x_g$ and $\Delta y_g$. b) The area of a  by the lengths $\Delta x_g$ and $\Delta y_g$. b) The area of a
141  vorticity cell, $A_\zeta$, is bordered by the lengths $\Delta x_c$ and  vorticity cell, $A_\zeta$, is bordered by the lengths $\Delta x_c$ and
142  $\Delta y_c$. c) The area of a u cell, $A_c$, is bordered by the  $\Delta y_c$. c) The area of a u cell, $A_w$, is bordered by the
143  lengths $\Delta x_v$ and $\Delta y_f$. d) The area of a v cell, $A_c$,  lengths $\Delta x_v$ and $\Delta y_f$. d) The area of a v cell, $A_s$,
144  is bordered by the lengths $\Delta x_f$ and $\Delta y_u$.}  is bordered by the lengths $\Delta x_f$ and $\Delta y_u$.}
145  \label{fig:hgrid}  \label{fig:hgrid}
146  \end{figure}  \end{figure}
# Line 150  is bordered by the lengths $\Delta x_f$ Line 148  is bordered by the lengths $\Delta x_f$
148  The model domain is decomposed into tiles and within each tile a  The model domain is decomposed into tiles and within each tile a
149  quasi-regular grid is used. A tile is the basic unit of domain  quasi-regular grid is used. A tile is the basic unit of domain
150  decomposition for parallelization but may be used whether parallelized  decomposition for parallelization but may be used whether parallelized
151  or not; see section \ref{sect:tiles} for more details. Although the  or not; see section \ref{sect:domain_decomposition} for more details.
152  tiles may be patched together in an unstructured manner  Although the tiles may be patched together in an unstructured manner
153  (i.e. irregular or non-tessilating pattern), the interior of tiles is  (i.e. irregular or non-tessilating pattern), the interior of tiles is
154  a structured grid of quadrilateral cells. The horizontal coordinate  a structured grid of quadrilateral cells. The horizontal coordinate
155  system is orthogonal curvilinear meaning we can not necessarily treat  system is orthogonal curvilinear meaning we can not necessarily treat
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