An explicit staggered finite volume scheme for the shallow water equations

Abstract

We propose an explicit finite volume scheme for the shallow water equations. The different unknowns of the system are approximated on staggered meshes. The numerical fluxes are computed with upwind and centered discretizations. We prove a number of properties of the scheme: positivity preserving, wellbalanced, consistent with the global entropy inequality.We compare itwith collocated schemes, using approximate Riemann solvers, on various problems.