/[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 1.16 by edhill, Tue Apr 20 23:32:59 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 350  if the limiter is set to zero. Line 353  if the limiter is set to zero.
353    
354    
355  \section{Non-linear advection schemes}  \section{Non-linear advection schemes}
356    \begin{rawhtml}
357    <!-- CMIREDIR:non-linear_advection_schemes: -->
358    \end{rawhtml}
359    
360  Non-linear advection schemes invoke non-linear interpolation and are  Non-linear advection schemes invoke non-linear interpolation and are
361  widely used in computational fluid dynamics (non-linear does not refer  widely used in computational fluid dynamics (non-linear does not refer
# Line 450  to centered second order advection in th Line 456  to centered second order advection in th
456    
457  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
458  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
459  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
460  the accuracy increases with the Courant number! For low Courant  the accuracy increases with the Courant number! For low Courant
461  number, DST3 produces very similar results (indistinguishable in  number, DST3 produces very similar results (indistinguishable in
462  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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