谱元方法求解二维不可压缩Navier-Stokes方程

A Spectral Element Method for Incompressible Navier-Stokes Equations

利用有限元的思想并结合谱方法的精度提出求解偏微分方程的谱元方法，在元素内插值函数使用伪谱Chebyshev逼近，并将此方法应用于求解不可压Navier-Stokes方程，具体求解了二维方腔顶盖驱动流，与公认基准解对比获得了较好的结果。

A spectral element method that combines the ideas of the finite element method with the accuracy of spectral method is presented. The solution is represented a s a high-order pseudospectral Chebyshev approximation in each element. The spec tral element method is used for solving incompressible Navler-Stokes Equations in this paper. The results we applied the method to lid driven flow in closed sq uare cavity are in excellent agreement with the accepted benchmark solutions.