三维不可压缩N-S方程的紧致有限差分和Fourier谱方法

采用高精度紧致有限差分－Fourie谱杂交的方法直接数值模拟了三维不可压缩的NavierStokes方程，该算法的时间离散采三阶精度混合显隐分裂格式，空间离散则结合Fourie谱方法及高精度紧天才有限差分逼近，该方法与普通的有限差分格式相比，具有很高的逼的精度及波数分辨率，针对三维平面槽道流的情况，应用该算法，直接数值模拟了三维T－S波在平面槽道流的传播问题，计算结果与流动稳定性分析结果吻合一致。

Compact Finite Difference-Fourier Spectral Method for 3D Incompressible N-S Equations

In this paper, a new high precision compact finite difference Fourier spectral hybrid method for 3D incompressible N S equations is proposed. In this method, the third order precision mixed explicit implicit scheme is employed for the time integration, and the space discretization is implemented by the combination of the Fourier spectral expansion with the high precision compact finite difference. The method is applied to a propagation problem of 3D T S waves on plane channel flow, and the results are in good agreement with the theoretic data.