基于通量差分分裂型上风差分方法求解非定常不可压缩Navier-Stokes方程

Solution to Unsteady Incompressible Navier Stokes Equation Using Upwind Difference Based on Flux difference Splitting

本文使用通量差分分裂型上风差分格式求解了三维非定常不可压缩 Ｎａｖｉｅｒ Ｓｔｏｋｅｓ方程。采用这种方法，本文首先在绝对和相对两种参考系中数值模拟了低雷诺数非定常条件下平板周期性振荡问题，计算结果与解析解相当吻合；然后数值考察了雷诺数 Ｒｅ ＝ ２００，角速度 ω＝ ０和 ω＝ １ 两种情形下圆柱绕流问题，数值计算所得的阻力系数、升力系数和斯特罗哈数同试验结果完全相符。

The unsteady incompressible Navier Stokes equations are solved using flux difference splitting upwind difference scheme. By using this method, first the simple flow on top of a periodically oscillating plate was calculated under the absolute and relative coordinates system respectively. The excellent comparison is obtained between the calculated results and the analytic solutions. Then the flow past a translating and rotating circular cylinder at Renolds number Re=200 and angular velocity ω=0 and ω=1 respectively. The calculated drag coefficients, lift coefficients and Strouhal numbers show good agreement with the experiments. .