多重网格技术在SIMPLE算法中的应用及结果的不确定性分析  

The Application of the Multigrid Method to SIMPLE Algorithm and Uncertainty Analysis of the Results

作　　者：张玮[1] 徐忠[1] 

机构地区：[1]西安交通大学流体机械研究所,西安710055

出　　处：《应用基础与工程科学学报》2001年第2期228-234,共7页Journal of Basic Science and Engineering

基　　金：国家自然科学基金资助项目 (No5 98760 2 8)

摘　　要：将多重网格技术应用于SIMPLE算法 ,对方腔顶盖驱动流问题进行求解 ,并运用Richardson外推法进行了计算结果的不确定度分析 .与单重网格计算的对比表明 ,多重网格技术的应用不仅大大减少了计算的迭代次数、CPU占用时间 ,加速收敛的效果明显 ,而且使计算结果的不确定度分析工作量减小 。Multigrid method is combined with SIMPLE alg orithm and applied to solve a model problem, which is two dimensional laminar dr iven flow in a square cavity. Richardson extrapolation also is performed to anal yze the uncertainty of the results. Comparisons of computation procedure with si ngle grid indicate that the multigrid method not only cuts down the iteration ti mes and the CPU time thus speeds up the convergence effectively, but also makes the result uncertainty analysis more conveniently owing to its specialty.

关 键 词：多重网格技术 RICHARDSON外推法 不确定度 SIMPLE算法 代数方程组 收敛 

分 类 号：O241.6[理学—计算数学]