--- manual/s_algorithm/text/tracer.tex 2005/07/07 21:36:34 1.20 +++ manual/s_algorithm/text/tracer.tex 2006/06/28 17:01:34 1.22 @@ -1,4 +1,4 @@ -% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/tracer.tex,v 1.20 2005/07/07 21:36:34 jmc Exp $ +% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/tracer.tex,v 1.22 2006/06/28 17:01:34 jmc Exp $ % $Name: $ \section{Tracer equations} @@ -627,10 +627,10 @@ \tau^{n+1/3} & = & \tau^{n} - \Delta t \left( \frac{1}{\Delta x} \delta_i F^x(\tau^{n}) + \tau^{n} \frac{1}{\Delta x} \delta_i u \right) \\ -\tau^{n+2/3} & = & \tau^{n} +\tau^{n+2/3} & = & \tau^{n+1/3} - \Delta t \left( \frac{1}{\Delta y} \delta_j F^y(\tau^{n+1/3}) + \tau^{n} \frac{1}{\Delta y} \delta_i v \right) \\ -\tau^{n+3/3} & = & \tau^{n} +\tau^{n+3/3} & = & \tau^{n+2/3} - \Delta t \left( \frac{1}{\Delta r} \delta_k F^x(\tau^{n+2/3}) + \tau^{n} \frac{1}{\Delta r} \delta_i w \right) \end{eqnarray} @@ -678,14 +678,17 @@ Advection Scheme & code & use & use Multi- & Stencil & comments \\ & & A.B. & dimension & (1 dim) & \\ \hline \hline + $1^{rst}$order upwind & 1 & No & Yes & 3 pts & linear/$\tau$, non-linear/v\\ + \hline centered $2^{nd}$order & 2 & Yes & No & 3 pts & linear \\ \hline $3^{rd}$order upwind & 3 & Yes & No & 5 pts & linear/$\tau$\\ \hline centered $4^{th}$order & 4 & Yes & No & 5 pts & linear \\ \hline \hline -% Lax-Wendroff & 10 & No & Yes & 3 pts & linear/tracer, non-linear/flow\\ -% \hline + $2^{nd}$order DST (Lax-Wendroff) & 20 & + 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 \hline $2^{nd}$order Flux Limiters & 77 & No & Yes & 5 pts & non-linear \\