Changeset 5618 for anuga_core/documentation/user_manual/anuga_user_manual.tex

Timestamp:

Aug 6, 2008, 2:41:57 PM (15 years ago)

Author:

ole

Message:

Added comments and documentation about CFL condition.

File:

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

anuga_core/documentation/user_manual/anuga_user_manual.tex

@@ -3282 +3282 @@
 In the computations presented in this paper we use an explicit Euler
 time stepping method with variable timestepping adapted to the
-observed CFL condition.
-
+observed CFL condition:
+
+\begin{equation} 
+  \delta t = \min_{k,i=[0,1,2]}  r_k/v_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}.  
 
 \section{Flux limiting}