Using a segregated finite element scheme to solve the incompressible Navier‐Stokes equations

Abstract In this paper, a segregated finite element scheme for the solution of the incompressible Navier‐Stokes equations is proposed which is simpler in form than previously reported formulations. A pressure correction equation is derived from the momentum and continuity equations, and equal‐order interpolation is used for both the velocity components and pressure. Algorithms such as this have been known to lead to checkerboard pressure oscillations; however, the pressure correction equation of this scheme should not produce these oscillations. The method is applied to several laminar flow situations, and details of the methods used to achieve converged solutions are given.