The main difficulty with the solution of the incompressible flow equations is the decoupling of the continuity and momentum equations due to the absence of the pressure (or density) term. The Artificial compressibility method is an important method for solving the incompressible Navier-Stokes Equations. In the present study, solution methods for velocity field of incompressible fluids are developed. The mathematical characteristic of governing flow equation used for incompressible fluids is changed from elliptic dominated to hyperbolic dominated, by applying artificial-compressibility...