A CENTRAL SCHEME FOR SHALLOW WATER FLOWS ALONG CHANNELS WITH IRREGULAR GEOMETRY

被引：38

作者：

Balbas, Jorge ^{[1
]}

Karni, Smadar ^{[2
]}

机构：

[1] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2009年 / 43卷 / 02期

关键词：

Hyperbolic systems of conservation and balance laws; semi-discrete schemes; Saint-Venant system of shallow water equations; non-oscillatory reconstructions; channels with irregular geometry; HYPERBOLIC CONSERVATION-LAWS; CENTRAL-UPWIND SCHEMES; WELL-BALANCED SCHEME; FINITE-VOLUME WENO; SOURCE TERMS; ORDER; SYSTEMS; EQUATIONS;

D O I：

10.1051/m2an:2008050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new semi-discrete central scheme for one-dimensional shallow water flows along channels with non-uniform rectangular cross sections and bottom topography. The scheme preserves the positivity of the water height, and it is preserves steady-states of rest (i. e., it is well-balanced). Along with a detailed description of the scheme, numerous numerical examples are presented for unsteady and steady flows. Comparison with exact solutions illustrate the accuracy and robustness of the numerical algorithm.

引用

页码：333 / 351

页数：19

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