| Citation: | HU Wanlin, YU Jian, LIU Hongkang, et al. Dynamic modal analysis of circular-arc airfoil transonic flow[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(5): 1026-1032. doi: 10.13700/j.bh.1001-5965.2018.0468(in Chinese)
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The periodic self-oscillation of the shock wave of the transonic airfoil will bring additional oscillating loads to the wing structure, thereby aggravating the fatigue damage of the aircraft structure. The dynamic mode decomposition (DMD) method is used to study the pressure fluctuation field of a symmetric circular-arc airfoil with a thickness of 18% around the transonic speed. The frequency characteristics of the main modes of DMD, the spatial distribution of pressure fluctuation and the time evolution of pressure fluctuation with shock wave motion are analyzed, and then DMD mode are used for flow field reconstruction. The results show that the DMD method can accurately capture the mode of each characteristic frequency of the flow field, and the first-order mode is the dominant frequency of the buffeting of the shock wave, which plays a dominant role in the self-oscillation process of the shock wave. The flow field loss function of the first seven modes is reduced within 4%, and the error is mainly distributed in the shock wave discontinuity area.
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