Application of a three-point explicit compact difference scheme to the incompressible navier-stokes equations

Abstract

A three-point explicit compact difference scheme with high order of accuracy for solving the unsteady incompressible Navier-Stokes equations was presented. Numerical solutions are obtained for the model problem of lid-driven cavity flow and are compared with benchmark solutions found in the literature. It is discovered that the proposed three point explicit compact scheme is not only simple to implement and economical to use, but also is effective to obtain high-order accurate solution in coarse grid systems.