A effective numerical method including the new LU-type implicit scheme and fourth-order high resolution MUSCL TVD scheme has been applied for solving the Farve-averaged Navier=Stokes equations and low-Reynolds-number q-omega turbulence model in unsteady flow fields of an oscillating NACA0015 airfoil. The numericla test cases include attached flow, light-stall and deep-stall of the airfoil. The computational results of the attached flow and light-stall indicate good agreements with the experimental data. The resultsof the deep-stall also show improvements compared with the calculation results of the previsou articles especially during the downstroke of the airfoil oscillation. There is still difference between the calculation results and the experimental data in the hysteresis curves of the drag coefficient. One of reasons is that the q-omega turbulence model sitll has limitations. The other is that the drag coefficient is difficult to measure and the experiments are not reliable either.
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