A HLLC scheme for Ripa model. Sánchez-Linares, C., Morales de Luna, T., & Castro Díaz, M. J. Applied Mathematics and Computation, 272, Part 2:369–384, January, 2016.
Paper doi abstract bibtex 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.
@Article{sanchez-linares2016hllc,
Title = {A {HLLC} scheme for {Ripa} model},
Author = {S\'anchez-Linares, C. and Morales de Luna, T. and Castro D\'iaz, M. J.},
Journal = {Applied Mathematics and Computation},
Year = {2016},
Month = jan,
Pages = {369--384},
Volume = {272, Part 2},
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.},
Doi = {10.1016/j.amc.2015.05.137},
File = {:sanchez-linares2016hllc.pdf:PDF},
ISSN = {0096-3003},
Keywords = {Finite volume schemes, HLLC, Path-conservative schemes, Ripa system},
Series = {Recent {Advances} in {Numerical} {Methods} for {Hyperbolic} {Partial} {Differential} {Equations}},
Url = {http://www.sciencedirect.com/science/article/pii/S0096300315007687},
Urldate = {2017-01-03}
}
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