Numerical simulation of steady compressible flows using a zonal formulation. Part II: viscous flows

Viscous flow simulations are usually based on the Navier-Stokes equations r epresenting the balance of mass, momentum, and energy. For many high Reynol ds number flows, the viscous effects are only limited to small regions in t he neighborhood of solid surfaces and in the wakes. We present here a zonal formulation with a reduced system of equations in the outer inviscid flow region. As in part I of this work, the velocity components are calculated f rom a generalized form of the Cauchy-Riemann equations with nonvanishing vo rticity only in the inner region, where the governing equations including t he viscous terms are solved. The viscous effects are transferred to the Cau chy-Riemann equations through a forcing function (vorticity), and the proce ss is repeated until convergence. Preliminary results are presented and com pared to standard Navier-Stokes calculations for two and three dimensional flow problems. (C) 2001 Elsevier Science Ltd. All rights reserved.