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A HLLC scheme for Ripa model

Author

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

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.

Suggested Citation

  • Sánchez-Linares, C. & Morales de Luna, T. & Castro Díaz, M.J., 2016. "A HLLC scheme for Ripa model," Applied Mathematics and Computation, Elsevier, vol. 272(P2), pages 369-384.
    • Handle: RePEc:eee:apmaco:v:272:y:2016:i:p2:p:369-384
    DOI: 10.1016/j.amc.2015.05.137
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    Cited by:

    1. De Lorenzo, M. & Pelanti, M. & Lafon, Ph., 2018. "HLLC-type and path-conservative schemes for a single-velocity six-equation two-phase flow model: A comparative study," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 95-117.
    2. Thanh, Mai Duc, 2018. "The Riemann problem for the shallow water equations with horizontal temperature gradients," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 159-178.

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