A HIGH-ORDER EXPLICIT METHOD FOR THE COMPUTATION OF FLOW ABOUT A CIRCULAR-CYLINDER

In this paper a finite difference method for computing the solutions o f the incompressible Navier-Stokes equations for flow about a circular cylinder in two dimensions is presented. A stream function/vorticity formulation of the equation is used and the numerical method incorpora tes recent developments in the computation of vorticity boundary condi tions as well as far field boundary conditions. Three schemes are desc ribed, one of second order accuracy, one of fourth order accuracy, and a hybrid method which is second order accurate in the computation of the vorticity transport and fourth order accurate in the determination of the stream function. Fully resolved solutions for flow pasta cylin der have been computed over a range of Reynolds numbers from 1000 to 9 500. Comparisons are made between the results obtained with methods of different orders of accuracy as well as of the effectiveness of the v orticity and far field boundary conditions. (C) 1996 Academic Press, I nc.