Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system

被引:4
|
作者
Caballero-Cardenas, C. [1 ]
Castro, M. J. [1 ]
de Luna, T. Morales [1 ]
Munoz-Ruiz, M. L. [1 ]
机构
[1] Univ Malaga, Fac Ciencias, Dept Anal Matemat Estadist & IO & Matemat Aplicad, Campus Teatinos, Malaga 29071, Spain
关键词
Lagrangian-projection technique; IMEX schemes; Well-balanced; Shallow; -water; GAS-DYNAMICS EQUATIONS; LARGE TIME-STEP; RUNGE-KUTTA SCHEMES; HYPERBOLIC SYSTEMS; STABILITY;
D O I
10.1016/j.amc.2022.127784
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
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页数:24
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