A New General Riemann Solver for the Shallow Water Equations, with
Friction and Topography
Ashwin N. Chinnayya and Alain-Yves Le Roux
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.
- Available as PostScript.
- Ashwin N. Chinnayya,
- Alain-Yves Le Roux,
- Publishing information:
- Submitted by:
July 16 1999.
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