关键词: 多重网格方法 有限体积法 SIMPLER算法 交错网格

Abstract:

In the present paper, the viscous incompressible Navier-Stokes equations are solved using the SIMPLER algorithm in conjunction with multigrid methods. Based on the 2-D lid-driven cavity flow with different Reynolds numbers ranging from 100 to 10000, the acceleration properties of V-cycle and W-cycle i n multigrid methods applied to the SIMPLER algorithm are investigated. And the influence of the number of grid hierarchies on smoothing properties is discussed as well. The result indicates that the combination of multigrid methods with the SIMPLER algorithm yields a good smoothing process, and the W-cycle multigrid method takes fewer outer iterations of the SIMPLER algorithm than the V-cycle version for the same Reynolds number and accuracy requirement. However, we need not dwell much on optimizing the number of grid hierarchies because its influence on the multigrid acceleration is not pronounced as reported in this paper.

Key words: （multigrid method, finite volume method, SIMPLER algorithm, staggered grids）