Changeset 7124

Timestamp:

May 28, 2009, 11:03:22 AM (16 years ago)

Author:

ole

Message:

Updated manual in regard to flux limiter

Location:

anuga_core/documentation/user_manual

Files:

• anuga_user_manual.tex (modified) (1 diff)
• copyright.tex (modified) (1 diff)

anuga_core/documentation/user_manual/anuga_user_manual.tex

@@ -3352 +3352 @@
 \]
 In general, for multiples of the minimal depth $N H_0$ one obtains
-\[
+\begin{equation}
   \left[ \frac{\mu}{h + h_0/h} \right]_{h = N H_0} =
-  \frac{\mu}{H_0 (1 + 1/N^2)}
-\]
+  \frac{\mu}{N H_0 + H_0/N} =  
+  \frac{\mu}{h (1 + 1/N^2)}
+  \label{eq:flux limit multiple}
+\end{equation}
 which converges quadratically to the true value with the multiple N.
+
+Although this equation can be used for any depth, we have restricted its use to depths less than $10 * H_0$ (or 1 cm) to computational resources. 
+According to Equation \ref{eq:flux limit multiple} this cutoff   
+affects the calculated velocity by less than 1 \%.   
 
 %The developed numerical model has been applied to several test cases

anuga_core/documentation/user_manual/copyright.tex

@@ -85 +85 @@
 \textbf{Acknowledgments}:
 \begin{itemize}
-\item John Jakeman, Rudy van Drie, Ted Rigby, Joaquim Luis, Nils Goseberg, William Power,
+\item John Jakeman, Rudy van Drie, Ted Rigby, Petar Milevski, Joaquim Luis, Nils Goseberg, William Power,
       Petar Milevski, Trevor Dhu, Linda Stals, Matt Hardy, Jack Kelly and Christopher
       Zoppou who contributed to this project at various times.