高雷诺数驱动方腔流动的时变模拟
流体动力学
2009-11-20 v2
摘要
本文给出了高雷诺数Re下二维不可压缩驱动方腔流动的时变数值解。在高Re下存在争议：一些研究预测流动是稳态的，而另一些则发现流动是时变非稳态的，表现为周期性或非周期性。本研究采用非常精细的网格，成功求解了Re高达的驱动方腔问题。我们在网格上使用SSPRK(5,4)格式对Navier-Stokes方程的涡量-流函数形式进行离散。使用这一极细网格，所得结果收敛于一个稳态解。文中给出了Re在至之间的详细结果。驱动方腔问题通过NVIDIA GPU在CUDA编程环境下以双精度求解。
引用
@article{arxiv.0809.3098,
title = {Time dependent simulation of the Driven Lid Cavity at High Reynolds Number},
author = {N. Cardoso and P. Bicudo},
journal= {arXiv preprint arXiv:0809.3098},
year = {2009}
}
备注
20 pages, 11 figures, 2 tables. We changed the algorithm, from first order to fourth order temporal accuracy as well as the stream equation, therefore the results and figures were updated and some figures are removed. We use GPU's, with double precision capabilities, to solve this problem