Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625995 | Applied Mathematics and Computation | 2016 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
C. Sánchez-Linares, T. Morales de Luna, M.J. Castro Díaz,