A HLLC scheme for Ripa model

C. Sánchez-Linares, T. Morales de Luna and M.J. Castro Díaz

Applied Mathematics and Computation, 2016, vol. 272, issue P2, 369-384

Abstract: 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.

Keywords: Ripa system; Finite volume schemes; Path-conservative schemes; HLLC (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:272:y:2016:i:p2:p:369-384

DOI: 10.1016/j.amc.2015.05.137

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