A HLLC scheme for Ripa model

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URI: https://hdl.handle.net/10630/32892
DOI: 10.1016/j.amc.2015.05.137

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2016-01-01

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Elsevier

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Matemática Aplicada

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Maremoto

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We consider the one-dimensional system of shallow-water equations with horizontal temperature gradients (the Ripa system). We derive a HLLC scheme for Ripa system which falls into the theory of path-conservative approximate Riemann solvers. The resulting scheme is robust, easy to implement, well-balanced, positivity preserving and entropy dissipative for the case of flat or continuous bottom.

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C. Sánchez-Linares, T. Morales de Luna, M.J. Castro Díaz, A HLLC scheme for Ripa model, Applied Mathematics and Computation, Volume 272, Part 2, 2016, Pages 369-384, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2015.05.137.

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwised noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional