水科学进展2011，Vol.22Issue(4)：523-531,9.DOI:32.1309.P.20110709.1619.011
正交曲线坐标系二维浅水方程ELADI有限差分方法
ELADI finite difference method for 2D shallow water equation in the orthogonal curvilinear coordinate system
摘要
Abstract
Accuracy and efficiency are two key factors for the numerical simulation of N-S equations in computational fluid dynamics. In this paper, the Eulerian-Lagrangian alternating direction implicit (ELADI) finite difference method for 2D shallow water equations in orthogonal curvilinear coordinate system is extensively discussed together with the basic principle and discretization methods. The ELADI method combines the alternating direction implicit method (ADI) with the Eulerian-Lagrangian Method (ELM). The numerical diffusivity of the ELM method is analyzed. The ELADI method is compared with traditional methods using the laboratory experiments conducted in a curved flume, as well as field measurements from the Haoxue river bend in the upper Jingjiang Reach of the Yangtze River. The result shows that the ELADI method improves computational efficiency greatly with satisfactory accuracy. For the test case, ELADI even allows the Courant number reaching 40 and reducing the computational cost by 90% compared to the traditional method.关键词
二维/正交曲线/浅水方程/欧拉-拉格朗日方法/交替方向隐式方法Key words
2D/ orthogonal curvilinear/ shallow water equations/ Eulerian-Lagrangian method/ alternating direction implicit method分类
建筑与水利引用本文复制引用
周刚,郑丙辉,胡德超,雷坤,乔飞..正交曲线坐标系二维浅水方程ELADI有限差分方法[J].水科学进展,2011,22(4):523-531,9.基金项目
水体污染控制与治理科技重大专项(2008ZX07526-005 （）
2009ZX07528-003) （）
