A decoupled staggered scheme for the shallow water equations

Published 26 Jun 2019 in math.NA and cs.NA | (1906.11001v1)

Abstract: 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.

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