A Comparative Study of High-Resolution Central Scheme for Solving the 2D Shallow Water Equations

Author

Chen, Jianzhong ; Shi, Zhongke ; Hu, Yanmei

Author_Institution

Coll. of Autom., Northwestern Polytech. Univ., Xian

fYear

2008

Firstpage

4629

Lastpage

4632

Abstract

The performance of the nonoscillatory central difference scheme with different limiters is investigated for solving the two-dimensional shallow water equations in this paper. The methods are applied to simulating two typical problems of shallow water equations, i.e. circular dam-break problem and shock focusing problem. The results show that there are differences in numerical performance when applying different limiters. An optimum-selected limiter is determined through analysis. The method using the optimum-selected limiter can provide a good numerical method for approximating the two- dimensional shallow water equations.

Keywords

computational fluid dynamics; finite difference methods; geophysical fluid dynamics; 2D shallow water equation; circular dam-break problem; nonoscillatory central difference scheme; optimum-selected limiter; shock focusing problem; Automation; Difference equations; Differential equations; Educational institutions; Electric shock; Finite difference methods; Navier-Stokes equations; Numerical simulation; Sea measurements; Water pollution;

fLanguage

English

Publisher

ieee

Conference_Titel

Bioinformatics and Biomedical Engineering, 2008. ICBBE 2008. The 2nd International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-1747-6

Electronic_ISBN

978-1-4244-1748-3

Type

conf

DOI

10.1109/ICBBE.2008.316

Filename

4535196