Changeset 8889

Timestamp:

Jun 10, 2013, 2:24:12 AM (11 years ago)

Author:

mungkasi

Message:

Adding some explanation for the lid-driven cavity problem.

File:

• trunk/anuga_core/source/anuga_validation_tests/Behaviour_only/lid_driven_cavity/results.tex (modified) (1 diff)

trunk/anuga_core/source/anuga_validation_tests/Behaviour_only/lid_driven_cavity/results.tex

@@ -2 +2 @@
 \section{Lid-driven cavity flow}
 
-Lid-driven cavity flow ...
+Lid-driven cavity flow is flow in a unit square containing a unit depth of water with horizontal topography. The top (north) boundary has a unit velocity and the other three boundaries are solid wall. The initial condition is water at rest. This is a standard test for numerical methods used to solve the two-dimensional Navier--Stokes equations. This is not a usual test for shallow water models~\cite{CCFNC2006}. However, it may benefit to check the behaviour of numerical solutions of \anuga{} to this problem.
 
-The initial condition is ...
-
-The analytical solution is ...
+The analytical solution to this problem is not available, but a large number of researchers have proposed numerical solutions. Some of the literatures amongst others are Cueto-Felgueroso et al.~\cite{CCFNC2006} and Erturk et al.~\cite{ECG2005}.
 
 
 \subsection{Results}
 
-For our test, we consider ...
-
-The following figures show ... We should see excellent agreement between the analytical and numerical solutions. 
+The following figures show numerical solutions of \anuga{} to this lid-driven cavity flow problem. We focus on the velocity and velocity fields. Note that the current version of \anuga{} is set up for inviscid fluid (water). That is, the Reynolds number is infinity. An accurate result should show secondary vortices around the corners for high Reynolds numbers.
 
 \begin{figure}