HIGHER-ORDER COMPACT SCHEMES FOR NUMERICAL SIMULATION OF INCOMPRESSIBLE FLOWS, PART II: APPLICATIONS

Abstract

A higher-order-accurate numerical procedure, developed for solving incompressible Navier?Stokes equations for 2-D or 3-D fluid flow problems and presented in Part I, is validated. The procedure, which is based on low-storage Runge?Kutta schemes for temporal discretization and fourth- and sixth-order compact finite-difference schemes for spatial discretization, is shown to eliminate the odd?even decoupling problem on regular grids, provided that compact schemes are used to approximate the Laplacian of the pressure equation. Spatial and temporal accuracy are confirmed formally through application to several pertinent benchmark problems. Stability in long-time integration is demonstrated by application to the Stuart?s mixing-layer problem.