Preprint 1999-021

A New General Riemann Solver for the Shallow Water Equations, with Friction and Topography

Ashwin N. Chinnayya and Alain-Yves Le Roux


Abstract: We consider numerical approximations of a strickly-hyperbolic system with source terms occuring in hydraulics. The interaction of the bottom slope and the friction slope in the Shallow Water equations is a very dominant term which characterises the well-balanced states. We thought it would be interesting to deal with these so-called balance laws with a new numerical processing. At the end, we have been able to run numerical tests. THey simulate smooth transitions as well hydraulics jumps and dry zones.


Paper:
Available as PostScript.
Author(s):
Ashwin N. Chinnayya, mailto:chinnayy@math.u-bordeaux.fr
Alain-Yves Le Roux, mailto:AY.leroux@u-bordeaux.fr
Publishing information:
Comments:
Submitted by:
mailto:AY.leroux@u-bordeaux.fr July 16 1999.


[ 1996 | 1997 | 1998 | 1999 | All Preprints | Preprint Server Homepage ]
The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

mailto:conservation@math.ntnu.no
Last modified: Thu Jul 22 11:05:44 1999
Vps hosting for ecommerce www.Joinvps.Com
Сайт управляется системой uCoz