Changeset 5620

Timestamp:

Aug 6, 2008, 2:57:38 PM (17 years ago)

Author:

ole

Message:

Updated CFL documentation

File:

• anuga_core/documentation/user_manual/anuga_user_manual.tex (modified) (1 diff)

anuga_core/documentation/user_manual/anuga_user_manual.tex

@@ -3285 +3285 @@
 
 \begin{equation} 
-  \delta t = \min_{k,i=[0,1,2]}  r_k/v_i
+  \Delta t = \min_{k,i=[0,1,2]}  \min(\frac{r_k}{v_{k,i}}, \fract{r_{n_{k,i}}}{v_{k,i}}
   \label{eq:CFL condition}
 \end{equation} 
-where $r_k$ is the radius of the $k$th triangle and $v$ is the maximal velocity across the edge joining triangle $k$ 
-and it's neighbour triangle $i$ as calculated by the numerical flux function using the central upwind scheme of \cite{KurNP2001}.  
+where $r_k$ is the radius of the $k$'th triangle and $v_{k,i}$ is the maximal velocity across 
+edge joining triangle $k$ and it's $i$'th neighbour, triangle $n_{k,i}$, as calculated by the 
+numerical flux function 
+using the central upwind scheme of \cite{KurNP2001}. The symbol $r_{n_{k,i}}$  denotes the radius 
+of the $i$'th neighbour of triangle $k$. The radii are calculated as radii of the inscribed circles 
+of each triangle.
 
 \section{Flux limiting}