In this paper, we propose a semi-implicit well-balanced scheme for the Ripa model based on a two-speed relaxation. The method both preserves equilibria and has an implicit step that reduces to the inversion of a constant Laplacian. Numerical simulations show that the scheme well capture low-Froude flows.
CITATION STYLE
Franck, E., & Navoret, L. (2020). Semi-implicit two-speed well-balanced relaxation scheme for ripa model. In Springer Proceedings in Mathematics and Statistics (Vol. 323, pp. 735–743). Springer. https://doi.org/10.1007/978-3-030-43651-3_70
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