Approximate Riemann Solvers

Eleuterio F. Toro ()
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Eleuterio F. Toro: University of Trento, DICAM

Chapter Chapter 11 in Computational Algorithms for Shallow Water Equations, 2024, pp 225-259 from Springer

Abstract: 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

Date: 2024
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DOI: 10.1007/978-3-031-61395-1_11

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