ALTERNATE FORMULATIONS FOR THE PRESSURE EQUATION LAPLACIAN ON A COLLOCATED GRID FOR SOLVING THE UNSTEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

摘要

The solution of the unsteady incompressible Navier-Stokes on a collocated grid is investigated. A consistent formulation to construct the Laplacian in the pressure equation is developed. It is shown that within this framework, Laplacians with different characteristics can be constructed, which can be made to satisfy discrete continuity and considerably reduce pressure oscillations. A third-order forward-biased approximation for the gradient operator of pressure works very well in completely eliminating pressure oscillations in a lid-driven cavity flow test problem. (C) 1995 Academic Press, Inc. [References: 22]