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.