Energy-stable staggered schemes for the Shallow Water equations
نویسندگان
چکیده
منابع مشابه
Energy conservative and - stable schemes for the two - layer shallow water equations
The two-layer shallow water equations model the flow of two fluids of different densities, superimposed on each other, under the influence of gravity. The main assumption in the derivation is that the horizontal length scales are much bigger than the vertical scales, and that one can therefore neglect variations in depth of density and velocity.Furthermore, it is assumed that no mixing occurs b...
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We consider the shallow water equations with non-flat bottom topography. The smooth solutions of these equations are energy conservative, whereas weak solutions are energy stable. The equations possess interesting steady states of lake at rest as well as moving equilibrium states. We design energy conservative finite volume schemes which preserve (i) the lake at rest steady state in both one an...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2020
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.109051