Numerical Simulation for the Viscous Flow inside Complex Shapes Using Grid Generation

In this paper, we determined a numerical solution of the incompressible navierstokes equation in the vorticity-stream function formulation. the solution is based on a technique of elliptic grid generation in which we transform the physical domain into rectangular computational domain, which requires the use of a curvilinear coordinate system to transform the governing equations to be applied on the computational domain. the transformed equations ar e approximated using central differences and solved simultaneously by the alternating direction implicit method and successive-over relaxation iteration method