A FULLY WELL-BALANCED LAGRANGE-PROJECTION-TYPE SCHEME FOR THE SHALLOW-WATER EQUATIONS

被引：17

作者：

Castro Diaz, Manuel J. ^{[1
]}

Chalons, Christophe ^{[2
]}

Morales De Luna, Tomas ^{[3
]}

机构：

[1] Univ Malaga, Fac Ciencias, Dept Anal Matemat, E-29071 Malaga, Spain

[2] Univ Paris Saclay, UVSQ, CNRS, Lab Math Versailles, F-78035 Versailles, France

[3] Univ Cordoba, Dept Matemat, Campus Rabanales, E-14071 Cordoba, Spain

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2018年 / 56卷 / 05期

关键词：

shallow water equations; finite volume method; Lagrange-projection scheme; DISCONTINUOUS GALERKIN METHODS; GAS-DYNAMICS EQUATIONS; LARGE TIME-STEP; GODUNOV-TYPE SCHEMES; VOLUME WENO SCHEMES; HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; NUMERICAL-METHODS; RECONSTRUCTION;

D O I：

10.1137/17M1156101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work focuses on the numerical approximation of the shallow water equations using a Lagrange-projection-type approach. We propose a fully well-balanced explicit and positive scheme using relevant reconstruction operators. By fully well-balanced, it is meant that the scheme is able to preserve stationary smooth solutions of the model with nonzero velocity, including of course also the well-known lake at rest equilibrium. Numerous numerical experiments illustrate the good behavior of the scheme.

引用

页码：3071 / 3098

页数：28

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