多重网格法
流函数
雷诺数
多边形网格
不可压缩流
网格
纳维-斯托克斯方程组
流量(数学)
涡度
网格生成
压缩性
涡流
应用数学
数学
机械
几何学
偏微分方程
数学分析
有限元法
物理
湍流
热力学
作者
Urmila Ghia,K. N. Ghia,C. T. Shin
标识
DOI:10.1016/0021-9991(82)90058-4
摘要
The vorticity-stream function formulation of the two-dimensional incompressible Navier-Stokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions. The driven flow in a square cavity is used as the model problem. Solutions are obtained for configurations with Reynolds number as high as 10,000 and meshes consisting of as many as 257 × 257 points. For Re = 1000, the (129 × 129) grid solution required 1.5 minutes of CPU time on the AMDAHL 470 V/6 computer. Because of the appearance of one or more secondary vortices in the flow field, uniform mesh refinement was preferred to the use of one-dimensional grid-clustering coordinate transformations.
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