基于SIMPLER算法的多重网格方法研究

Multigrid Method Associated with SIMPLER Algorithm

以二维方腔顶盖驱动流为模型,将多重网格方法和SIMPLER算法进行耦合,对不同雷诺数下多重网格加速SIMPLER算法和SIMPLER算法的计算效率进行了对比,数值计算表明:多重网格加速SIMPLER算法不仅能够解决SIMPLER算法不能准确模拟较高雷诺数流场的问题,而且其计算效率远远高于SIMPLER算法。本文也对松弛因子的选取、多重网格实现形式以及网格层数对多重网格加速SIMPLER算法的影响进行了研究,从而为多重网格加速SIMPLER算法的实施提供了计算技术。

For two-dimensional lid-driven cavity flow, the multigrid method is combined with SIMPLER algorithm for improving computational efficiency. The numerical results indicate that SIMPLER algorithm combined with the multigrid method enables to completely simulate large Reynolds number flow field with higher efficiency than pure SIMPLER algorithm. The different relaxations, implementation of the multigrid method and grid hierarchy number are discussed in some detail to provide a new computational scheme.