The goal of the work in this paper is to select one or several good turbulence models that can predict the aerodynamic force for thick airfoils. In its limit, the flow around a circular cylinder will be focused. Three turbulence models are tested in the paper including one-equation models of Bladwin-Barth (BB) and Spalart-Allemaras (SA), and the two-equation (k- omega ) SST model of Menter. The incompressible Navier-Stokes equations are written in stream function-vorticity ( PSI - omega ) form. It consists of a vorticity transport equation and a o Poisson equation. The transport equation is discretized in time by a semi-implicit combined Adams-Bashforth / Crank-Nicolson scheme and in space by the upwind QUICK scheme for the convertion term and central difference for the diffusion term, whereas the Poisson equation is solved by the combined FFT and direct method. The computations are performed for the cylinder flow at Re=185000. The comparisons show that the SA model is superior regarding to the drag force which is in good agreement comparing to the experimental data.
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