--- manual/s_algorithm/text/tracer.tex 2010/08/27 13:08:18 1.25 +++ manual/s_algorithm/text/tracer.tex 2016/10/26 17:30:23 1.27 @@ -1,8 +1,8 @@ -% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/tracer.tex,v 1.25 2010/08/27 13:08:18 jmc Exp $ +% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/tracer.tex,v 1.27 2016/10/26 17:30:23 heimbach Exp $ % $Name: $ \section{Tracer equations} -\label{sect:tracer_equations} +\label{sec:tracer_equations} \begin{rawhtml} \end{rawhtml} @@ -18,7 +18,7 @@ described here. \subsection{Time-stepping of tracers: ABII} -\label{sect:tracer_equations_abII} +\label{sec:tracer_equations_abII} \begin{rawhtml} \end{rawhtml} @@ -129,7 +129,7 @@ \section{Linear advection schemes} -\label{sect:tracer-advection} +\label{sec:tracer-advection} \begin{rawhtml} \end{rawhtml} @@ -359,7 +359,7 @@ \section{Non-linear advection schemes} -\label{sect:non-linear_advection_schemes} +\label{sec:non-linear_advection_schemes} \begin{rawhtml} \end{rawhtml} @@ -673,13 +673,14 @@ \end{figure} \section{Comparison of advection schemes} -\label{sect:tracer_advection_schemes} +\label{sec:tracer_advection_schemes} \begin{rawhtml} \end{rawhtml} \begin{table}[htb] \centering +{\small \begin{tabular}[htb]{|l|c|c|c|c|l|} \hline Advection Scheme & code & use & use Multi- & Stencil & comments \\ @@ -697,12 +698,31 @@ No & Yes & 3 pts & linear/$\tau$, non-linear/v\\ \hline $3^{rd}$order DST & 30 & No & Yes & 5 pts & linear/$\tau$, non-linear/v\\ + \hline + $2^{nd}$order-moment Prather & 80 & No & Yes & ~ & ~ \\ \hline \hline $2^{nd}$order Flux Limiters & 77 & No & Yes & 5 pts & non-linear \\ \hline $3^{nd}$order DST Flux limiter & 33 & No & Yes & 5 pts & non-linear \\ \hline + $2^{nd}$order-moment Prather w. limiter & 81 & No & Yes & ~ & ~ \\ + \hline + piecewise parabolic w. ``null'' limiter & 40 & No & Yes & ~ & ~ \\ + \hline + piecewise parabolic w. ``mono'' limiter & 41 & No & Yes & ~ & ~ \\ + \hline + piecewise quartic w. ``null'' limiter & 50 & No & Yes & ~ & ~ \\ + \hline + piecewise quartic w. ``mono'' limiter & 51 & No & Yes & ~ & ~ \\ + \hline + piecewise quartic w. ``weno'' limiter & 52 & No & Yes & ~ & ~ \\ + \hline + $7^{nd}$order one-step method & 7 & No & Yes & ~ & ~ \\ + with Monotonicity Preserving Limiter & ~ & ~ & ~ & ~ & ~ \\ + \hline + \end{tabular} + } \caption{Summary of the different advection schemes available in MITgcm. ``A.B.'' stands for Adams-Bashforth and ``DST'' for direct space time. The code corresponds to the number used to select the corresponding