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 the weak consistency of finite volumes schemes for conservation laws on general meshes
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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.