A flux-splitting solver for shallow water equations with source terms

被引：16

作者：

Rebollo, TC

Nieto, EDF

Mármol, MG

机构：

[1] Univ Sevilla, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

[2] Univ Sevilla, Dept Matemat Aplicada 1, ETS Arquitectura, E-41080 Seville, Spain

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2003年 / 42卷 / 01期

关键词：

finite-volume method; upwinding; shallow water; flux-splitting; source terms; HYPERBOLIC CONSERVATION-LAWS; SCHEMES;

D O I：

10.1002/fld.436

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper introduces a stable flux-splitting solver for one-dimensional (ID) shallow water equations. This solver is specifically designed to satisfy a strengthened consistency condition for stationary solutions that ensures the stability and accuracy of the scheme. It applies to channels with variable depth and width, including terms modelling friction at bottom and vertical walls. Some numerical tests by comparison to both analytical solutions and experimental measurements show the good performances of the scheme. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：23 / 55

页数：33

共 15 条

[1] A HIGH-RESOLUTION GODUNOV-TYPE SCHEME IN FINITE VOLUMES FOR THE 2D SHALLOW-WATER EQUATIONS [J].