IJAM: Volume 28, No. 5 (2015)

Abstract. The research area of fluid mechanics is a very interest subject in many engineering applications. First, most problems aimed at studying fluid flows experimentally, and later numerical studies appeared after the mathematical modeling by the Navier-Stokes equations arise. This paper studies the numerical solution of the Navier-Stokes movement and continuity equations for incompressible, confined steady state flows. We used a method based on staggered grids, the MAC (Mark and Cell) method, applied on confined isothermal incompressible flows. But, an alternative approach were employed for the Poisson equation in temporal advance of pressure in the original proposal, basing on a pressure iteration approach. We performed numerical experiments by using two classic problems, the backward-facing step and the lid-driven cavity-flow and presented results for the selected applications.