/[MITgcm]/manual/s_algorithm/text/tracer.tex
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revision 1.12 by adcroft, Tue Nov 13 20:13:54 2001 UTC revision 1.14 by afe, Tue Mar 23 15:29:40 2004 UTC
# Line 124  the forward method. Line 124  the forward method.
124    
125  \section{Linear advection schemes}  \section{Linear advection schemes}
126  \label{sect:tracer-advection}  \label{sect:tracer-advection}
127    \begin{rawhtml}
128    <!-- CMIREDIR:linear_advection_schemes -->
129    \end{rawhtml}
130    
131  \begin{figure}  \begin{figure}
132  \resizebox{5.5in}{!}{\includegraphics{part2/advect-1d-lo.eps}}  \resizebox{5.5in}{!}{\includegraphics{part2/advect-1d-lo.eps}}
# Line 450  to centered second order advection in th Line 453  to centered second order advection in th
453    
454  The DST3 method described above must be used in a forward-in-time  The DST3 method described above must be used in a forward-in-time
455  manner and is stable for $0 \le |c| \le 1$. Although the scheme  manner and is stable for $0 \le |c| \le 1$. Although the scheme
456  appears to be forward-in-time, it is in fact second order in time and  appears to be forward-in-time, it is in fact third order in time and
457  the accuracy increases with the Courant number! For low Courant  the accuracy increases with the Courant number! For low Courant
458  number, DST3 produces very similar results (indistinguishable in  number, DST3 produces very similar results (indistinguishable in
459  Fig.~\ref{fig:advect-1d-lo}) to the linear third order method but for  Fig.~\ref{fig:advect-1d-lo}) to the linear third order method but for
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