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.
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
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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.