摘要
本文基于预处理法,结合双时间步法,建立了应用高效隐式时间步进LU-SGS算法求解非定常低速流动问题的数值模拟方法.对典型的方腔顶盖瞬时启动驱动、周期振荡顶盖驱动等非定常低速流动问题进行了数值计算.结果表明,所建立的数值方法对非定常低速流动问题有较高的计算效率,并能有效的克服低速流动问题的系统刚性问题.
A numerical simulation method for unsteady low-speed flow N-S equations on preconditioned method, dual-time stepping method, and LU-SGS scheme has been developed in this paper. Unsteady low-speed flow computations were made for an impulsively started lid driven cavity flow and oscillating lid driven cavity flow. The results showed that this method had efficient computation for unsteady low-speed flow, and could eliminate stiffness of the equations in low-speed flow.
出处
《数值计算与计算机应用》
CSCD
2007年第2期107-115,共9页
Journal on Numerical Methods and Computer Applications
基金
湖南省自然科学基金(04JJ306
中国科学院大气物理研究所LAPC开放课题(LAPC-KF-2004-16)资助项目.
关键词
非定常低速流
预处理法
双时间步进法
LU—SGS法
unsteady low-speed flow, preconditioned method, dual-time stepping method. LU-SGS scheme