CFD Online Discussion Forums - Looking for stable integration scheme for 2D Shallow Water Equations

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Hello! I am looking for a p

Hello!

I am looking for a possibility to solve the 2D SWE with OpenFOAM as described at
http://en.wikipedia.org/wiki/Shallow...servative_form

In the thread http://www.cfd-online.com/OpenFOAM_D...es/1/1324.html Liu mentions to have solved the SWE using a PISO algorithm. Do you have any references where it is described in more detail?

I can't figure out how to modify the PISO scheme for the SWE, because \eta enters the equations quadratically in contrast to p in the Navier-Stokes equations.

Your help is greatly appreciated.
Maddhi

This reference may help you:

This reference may help you:

Weller, H. and Weller, H.G. (2008) A high-order arbitrarily unstructured finite-volume model of the global atmosphere: Tests solving the shallow-water equations. Int. J. Numer. Meth. Fluids 56 (8): 1589-1596

Patricio