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.
Convergence of the marker- and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids
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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.