A HLLC scheme for Ripa model

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• 作者：C. Sá ; nchez-Linares^a ; ^{csl@uma.es" class="auth_mail" title="E-mail the corresponding author} ; T. Morales de Luna ; ^b ; ^{tomas.morales@uco.es" class="auth_mail" title="E-mail the corresponding author} ; M.J. Castro Dí ; az^a ; ^{castro@anamat.cie.uma.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Ripa system ; Finite volume schemes ; Path-conservative schemes ; HLLC
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：1 January 2016
• 年：2016
• 卷：272
• 期：part_P2
• 页码：369-384
• 全文大小：1195 K

文摘

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.