Numerical performance of compact fourth-order formulation of the Navier-Stokes equations

Abstract

In this study, the numerical performance of the fourth-order compact formulation of the steady 2-D incompressible Navier-Stokes (NS) equations introduced by Erturk et al. (Int. J. Numer Methods Fluids 2006; 50:421-436) will be presented. The bench mark-driven cavity flow problem will be solved using the introduced Compact fourth-order formulation of the NS equations with two different line iterative semi-implicit methods for both second- and fourth-order spatial accuracy. The extra CPU work needed for increasing the spatial accuracy from second-order (O(Delta x(2))) fortnulation to fourth-order (O(Delta x(4))) formulation will be presented. Copyright (C) 2008 John Wiley & Sons, Ltd.