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oai:riuma.uma.es:10630/264882026-02-03T11:32:48Zcom_10630_2254col_10630_37953

Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system Caballero-Cárdenas, C Castro-Díaz, Manuel Jesús Morales-de-Luna, Tomás Método de los volúmenes finitos Lagrange, Ecuaciones de In this paper we consider the Lagrange-Projection technique in the framework of finite volume schemes applied to the shallow water system. We shall consider two versions of the scheme for the Lagrangian step: one fully implicit and one implicit-explicit, based on how the geometric source term is treated. First and second order well-balanced versions of the schemes are presented, in which the water at rest solutions are preserved. This allows to obtain efficient numerical schemes in low Froude number regimes, as the usual CFL restriction driven by the acoustic waves is avoided. 2023-05-05T10:35:04Z 2023-05-05T10:35:04Z 2023-05-05T10:35:04Z 2022-12-25 journal article Caballero-Cárdenas, C., Castro, M. J., de Luna, T. M., & Muñoz-Ruiz, M. L. (2023). Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system. Applied Mathematics and Computation, 443, 127784. https://hdl.handle.net/10630/26488 https://doi.org/10.1016/j.amc.2022.127784 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier