Title :
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
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;
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
DOI :
10.1109/ICBBE.2008.316
