A first-order staggered scheme for 2D shallow water equations with topography that preserves positivity of water height, constant states, and is weakly consistent with the equations and entropy inequality.
Analysis of discrete shallow-water models on geodesic delaunay grids with c-type staggering.Monthly Weather Review 133, 8 (2005), 2351–2373
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A decoupled staggered scheme for the shallow water equations
A first-order staggered scheme for 2D shallow water equations with topography that preserves positivity of water height, constant states, and is weakly consistent with the equations and entropy inequality.