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Approximate Riemann Solvers

In: Computational Algorithms for Shallow Water Equations

Author

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  • Eleuterio F. Toro

    (University of Trento, DICAM)

Abstract

AApproximate Riemann solver full range of 10 approximate Riemann solvers for the shallow water equations written in conservative and non-conservative forms have been presented, along with a discussion on criteria to judge their quality in comparison with the exact solver. A first criterion is whether a solver is linear or non-linear and whether a linear solver is accompanied with an effective entropy fix to exclude unphysical entropy-violating shocks. A second criterion is whether a solver is complete, that is whether or not the number of waves W in its wave model matches that of the exact solver N. For incomplete Riemann solvers $$W

Suggested Citation

  • Eleuterio F. Toro, 2024. "Approximate Riemann Solvers," Springer Books, in: Computational Algorithms for Shallow Water Equations, edition 2, chapter 0, pages 225-259, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-61395-1_11
    DOI: 10.1007/978-3-031-61395-1_11
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