FOURIER-CHEBYSHEV SPECTRAL METHOD FOR THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS

摘要

A Fourier-Chebyshev spectral scheme is proposed for the two-dimensional Navier-Stokes equations. To avoid the difficulty of choosing the trial function space satisfying the incompressible condition, the pressure is evaluated by solving a Poisson equation. The generalized stability and convergence are analyzed strictly. The numerical results show the high accuracy of this method. [References: 16]