The objective of this paper is to investigate laminar-to-turbulent transition-induced vibration of a NACA66 hydrofoil section at 4°angle of attack and $Re=450,000$. Direct Numerical Simulation (DNS) is used to simulate the three-dimensional incompressible flow, and is coupled with an equation of motion for a rigid hydrofoil supported at the elastic axis by a torsional spring and damper. The coupled 1-DOF DNS is carried out on a massively parallelised open source code Nek5000, which is a spectral element code, to solve the incompressible Navier–Stokes equations. The results show that the pressure gradient of the hydrofoil can be strongly affected by vibrations of the foil, thus changing the location of transition and boundary layer characteristics, which are proportional to the amplitude of vibration and frequency ratio of the foil. Moreover, the TS waves that appear in the transition region are receptive to the natural/vibrating frequency of the foil and an early occurrence of TS waves is observed when the shedding frequency is close to the natural frequency of the system. In this case, the pitch angle and torque interact with each other and an additional multi-scaled frequency response is observed in the pitch velocity, potentially due to the interaction with the transition region.

本文的目的是研究 NACA66 水翼截面在 4°攻角和 $\mathrm{电阻}\mathrm{电子}=450,000$. 直接数值模拟 (DNS) 用于模拟三维不可压缩流动，并与由扭转弹簧和阻尼器支撑在弹性轴上的刚性水翼的运动方程相结合。耦合的 1-DOF DNS 是在大规模并行化的开源代码 Nek5000 上执行的，Nek5000 是一个谱元代码，用于求解不可压缩的 Navier-Stokes 方程。结果表明，水翼的压力梯度会受到水翼振动的强烈影响，从而改变过渡位置和边界层特征，这些特征与水翼的振动幅度和频率比成正比。而且，出现在过渡区的 TS 波对箔的固有/振动频率敏感，当脱落频率接近系统的固有频率时，观察到 TS 波的早期出现。在这种情况下，俯仰角和扭矩相互作用，并且在俯仰速度中观察到额外的多尺度频率响应，这可能是由于与过渡区域的相互作用。