WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME ON TRIANGULAR GRIDS FOR THE SAINT-VENANT SYSTEM

被引：86

作者：

Bryson, Steve ^{[1
]}

Epshteyn, Yekaterina ^{[2
]}

Kurganov, Alexander ^{[3
]}

Petrova, Guergana ^{[4
]}

机构：

[1] NASA, Ames Res Ctr, Moffett Field, CA 94035 USA

[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

[3] Tulane Univ, Dept Math, New Orleans, LA 70118 USA

[4] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2011年 / 45卷 / 03期

基金：

美国国家科学基金会;

关键词：

Hyperbolic systems of conservation and balance laws; semi-discrete central-upwind schemes; Saint-Venant system of shallow water equations; FINITE-VOLUME SCHEMES; HYPERBOLIC SYSTEMS; SHALLOW-WATER; CONSERVATION-LAWS; WENO SCHEMES; SOURCE TERMS; ORDER; ACCURACY; LIMITERS;

D O I：

10.1051/m2an/2010060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves "lake at rest" steady states and guarantees the positivity of the computed fluid depth. Moreover, it can be applied to models with discontinuous bottom topography and irregular channel widths. We demonstrate these features of the new scheme, as well as its high resolution and robustness in a number of numerical examples.

引用

页码：423 / 446

页数：24

共 38 条

[1] ON ESSENTIALLY NONOSCILLATORY SCHEMES ON UNSTRUCTURED MESHES - ANALYSIS AND IMPLEMENTATION [J].