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- W1980210033 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." @default.
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- W1980210033 date "2010-01-01" @default.
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- W1980210033 title "A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows" @default.
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