Numerical analysis of Navier-Stokes equations

Abstract

Navier-stokes equations are important n many parts of sciences and engineering.> In this paper, we summerize the classical theory of Navier-Stokes equations and Stokes and we approximate solutions of these equations with finite element method. Furthermore we simulate the numerical solutions of these equations with concrete examples. Those are the channel flow with three circles in it and the channel flow with downward step in the lower boundary of the channel. To simulate these problems the need of the domain triangulation is crucial. We preform these with the Delaunay triangulation method.