TY - JFULL AU - Mohamad Reza. Mohaghegh and Majid. Malek Jafarian PY - 2011/3/ TI - Unsteady Transonic Aerodynamic Analysis for Oscillatory Airfoils using Time Spectral Method T2 - International Journal of Aerospace and Mechanical Engineering SP - 487 EP - 495 VL - 5 SN - 1307-6892 UR - https://publications.waset.org/pdf/5669 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 50, 2011 N2 - This research proposes an algorithm for the simulation of time-periodic unsteady problems via the solution unsteady Euler and Navier-Stokes equations. This algorithm which is called Time Spectral method uses a Fourier representation in time and hence solve for the periodic state directly without resolving transients (which consume most of the resources in a time-accurate scheme). Mathematical tools used here are discrete Fourier transformations. It has shown tremendous potential for reducing the computational cost compared to conventional time-accurate methods, by enforcing periodicity and using Fourier representation in time, leading to spectral accuracy. The accuracy and efficiency of this technique is verified by Euler and Navier-Stokes calculations for pitching airfoils. Because of flow turbulence nature, Baldwin-Lomax turbulence model has been used at viscous flow analysis. The results presented by the Time Spectral method are compared with experimental data. It has shown tremendous potential for reducing the computational cost compared to the conventional time-accurate methods, by enforcing periodicity and using Fourier representation in time, leading to spectral accuracy, because results verify the small number of time intervals per pitching cycle required to capture the flow physics. ER -