Changeset 8791

Timestamp:

Mar 29, 2013, 1:03:24 AM (12 years ago)

Author:

mungkasi

Message:

Small correction in mathematical equations.

File:

• trunk/anuga_core/source/anuga_validation_tests/Analytical_exact/parabolic_basin/results.tex (modified) (3 diffs)

trunk/anuga_core/source/anuga_validation_tests/Analytical_exact/parabolic_basin/results.tex

@@ -14 +14 @@
 w(x,t) = D_0 + \frac{2 A D_0}{L^2} \cos(\omega t) \left( x - \frac{A}{2}\cos(\omega t) \right).
 \end{equation}
-Here $\omega=\sqrt{\frac{2 g D_0)}{L}}$.
+Here $\omega=\frac{\sqrt{2 g D_0}}{L}$.
 The initial condition is set by taking $t=0$ in the analytical solution.
 
@@ -20 +20 @@
 \subsection{Results}
 For our test, we consider $D_0=4$, $L=10$, and $A=2$. After running the simulation for some time, we have Figures~\ref{fig:cross_section_stage}--\ref{fig:cross_section_xvel} showing the stage, $x$-momentum, and $x$-velocity respectively. There should be a good agreement between numerical and analytical solutions.
+
+As time goes on, some small deviations may appear. These are shown in Figures~\ref{fig:Stage_centre}--\ref{fig:Xvel_centre}, which illustrate the stage, $x$-momentum, and $x$-velocity at the centroid of the domain.
 
 \begin{figure}[!h]
@@ -46 +48 @@
 
 
-As time goes on, some small deviations may appear. These are shown in Figures~\ref{fig:Stage_centre}--\ref{fig:Xvel_centre}, which illustrate the stage, $x$-momentum, and $x$-velocity at the centroid of the domain.
+
 
 \begin{figure}[!h]