Looking for stable integration scheme for 2D Shallow Water Equations

August 22, 2008, 18:51

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

pbohorquez · August 23, 2008, 07:24

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

August 22, 2008, 18:51	Hello! I am looking for a p	#1
maddhi Guest Posts: n/a	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

August 23, 2008, 07:24	This reference may help you:	#2
pbohorquez Member Patricio Bohorquez Join Date: Mar 2009 Location: Jaén, Spain Posts: 95 Rep Power: 17	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

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
2D shallow water equations	dealexander	OpenFOAM Running, Solving & CFD	11	November 13, 2016 06:30
shallow water equations	Nalan ANtar	Main CFD Forum	2	February 28, 2011 06:03
shallow water VS deep water	Paul	Main CFD Forum	10	August 30, 2004 12:56
shallow water and simple scheme	AO	Main CFD Forum	0	January 13, 2004 21:07
strongly A-stable scheme	Valdemir	Main CFD Forum	0	October 30, 2003 06:19