Abstract: The dynamic precess was numerically simulated on a two dimensional oscillating airfoil or an airfoil with trailing-edge flap in pitch. The Euler and Navier-Stokes equations with Baldwin-Lomax turbulent model were required to solve using the implicit fac-torized finite difference algorithm(LU-AD1 algorithm), which was constructed n a body fitted coordinate system. The study was focused on the unsteady effect of shock wave and control of separation on the lifting surface due to the oscillation. The numerical ...