Transforming projection methods to solve steady incompressible flows

Abstract

Projection methods are known to be very effective in solving the unsteady flow problems. In this study the idea used in the SIMPLEC method is used to derive the general three- and the four-step projection methods. The concept used in the derivation of the projection methods is extended to obtain projection type methods for the solution of the steady flow problems directly, without resorting to a pseudo transient approach. The performance of the resulting three- and the four-step steady algorithms are compared with the well-known SIMPLE method in solving the steady flow problems on unstructured grids. The performance of the general three- and the four-step projection methods are also compared in solving the unsteady flow problems.