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, well-balanced, consistent with the global entropy inequality. We compare it with collocated schemes, using approximate Riemann solvers, on various problems.
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© 2014 Springer International Publishing Switzerland
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Doyen, D., Gunawan, P.H. (2014). An Explicit Staggered Finite Volume Scheme for the Shallow Water Equations. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects. Springer Proceedings in Mathematics & Statistics, vol 77. Springer, Cham. https://doi.org/10.1007/978-3-319-05684-5_21
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DOI: https://doi.org/10.1007/978-3-319-05684-5_21
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