arXiv:1906.11001 Abstract | arXiv Analytics

arXiv:1906.11001 [math.NA]Abstract References Reviews Resources

A decoupled staggered scheme for the shallow water equations

Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri, Nicolas Therme

Published 2019-06-26Version 1

We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of the water height, preservation of constant states, and weak consistency with the equations of the problem and with the associated entropy inequality.

Categories: math.NA, cs.NA

Keywords: shallow water equations, decoupled staggered scheme, first order scheme, space dimensions, water height

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