Preprint 1999-021

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

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, <chinnayy@math.u-bordeaux.fr>

Alain-Yves Le Roux, <AY.leroux@u-bordeaux.fr>

Publishing information:

Comments:

Submitted by:

<AY.leroux@u-bordeaux.fr> July 16 1999.