Spectral method for time dependent Navier-Stokes equations

Abstract

The paper is focused on the numerical investigation of the Navier-Stokes equation applying a spectral method. A MATLAB code is developed and used for simulation. The incompressible two-dimensional flow in a square container called lid-driven cavity is tested as a benchmark problem. The streamlines, the horizontal and vertical velocity components at different Reynolds numbers are presented. There is significant agreement with the numerical results and those published in the literature.