Spectral solutions of the Navier-Stokes equations in arbitrary two-dimensional domains

This paper is intended to demonstrate the use of numerical grids generated by spectral techniques in the solution of the Navier-Stokes equations also obtained by using spectral techniques. This effort thus extends the applicability of spectral techniques to arbitrary domains. In this paper, only 2D numerical transformation and Navier-Stokes solutions on 2D domains have been considered. Extension to 3D domains seems to be formal but certainly more complex computationally.