摘要
本文介绍一种求解涡度流函数形式的定常不可压缩Navier-Stokes方程的半隐式指数型差分格式。涡度方程用上述格式求解,而流函数方程用多层网格法求解。这种组合求解方式具有很好的稳定性及较快的收敛速度。本文对Re=100,400,1000,3000,5000的驱动方腔及Re=400,1000的驱动长方腔进行了数值模拟,结果与现有的计算相吻合。
This paper presents a semi-implicit exponential difference scheme for solving steady incompressible N-S equations in stream function and vorticity variables. The vorticity equation is solved by the proposed scheme and the elliptic equation of the stream function is computed by an efficient multiple-grid method. The above combined solu-tion has a good stability and fast convergence. Numerical simulations were made for a driven square cavity at Re =100, 400, 1000, 3000, 5000 and for a driven rectangle cavity at Re=400, 1000. The results are good agreement with available calculations.
出处
《空气动力学学报》
CSCD
北大核心
1989年第3期298-306,共9页
Acta Aerodynamica Sinica
关键词
涡流
驱动方腔
粘性流
数值模拟
steady viscous flow, vorticity, stream function, exponential difference scheme, numerical method.
