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Journal articles
A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
Abstract : We consider the Saint-Venant system for shallow water flows with nonflat bottom. In past years, efficient well-balanced methods have been proposed in order to well resolve solutions close to steady states at rest. Here we describe a strategy based on a local subsonic steady state reconstruction that allows one to derive a subsonic-well-balanced scheme, preserving exactly all the subsonic steady states. It generalizes the now well-known hydrostatic solver, and like the latter it preserves the nonnegativity of the water height and satisfies a semidiscrete entropy inequality. An application to the Euler-Poisson system is proposed.
Cited literature [21 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-00693032
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Submitted on : Tuesday, May 1, 2012 - 7:38:55 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:26 PM
Contributor : Admin Lama Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2012 - 7:38:55 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:26 PM
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