多重网格法在二维非恒定水沙数学模型中的应用  

Application of Multigrid Method in 2-D Numerical Model

作　　者：曹志芳[1] 赵明登[1] 李义天[1] 

机构地区：[1]武汉大学水沙科学教育部重点实验室,湖北武汉430072

出　　处：《泥沙研究》2001年第6期27-32,共6页Journal of Sediment Research

基　　金：本文得到国家自然科学基金和水利部重大研究项目 ( 5 9890 2 0 0 )的资助

摘　　要：计算速度是影响二维非恒定流数学模型应用推广的主要原因之一。本文采用了多重网格方法以提高其计算速度 ,同时为了适应复杂不规则的边界条件和水下地形 ,利用坐标变换来克服天然河道复杂边界条件给模拟带来的困难 ,通过算例分析了多重网格法的收敛特性 。The convergent speed is one of the important reasons to affect the application of 2 D numerical models for unsteady flow and sediment transport. In this paper, a so\|called multigrid method is used to improve the computational speed. Meanwhile, the coordinate transformation method is used to fit the complicated and irregular boundary conditions. The analysis to the iteration characteristic of the multigrid method by a case study shows that the method can greatly improve the numerical convergent speed. Finally, the proposed 2 D model was verified by using the field data in Wuhan reach of Yangtze River.

关 键 词：多重网格方法 混合有限分析法 坐标变换 数学模型 水沙模型 离散格式 

分 类 号：TV143[水利工程—水力学及河流动力学]