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Numerical study on hydrodynamics for a non-sinusoidal forced oscillating hydrofoil based on an immersed boundary method

机译：基于沉浸边界法的非正弦强迫振荡水翼的水动力数值研究

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Fluid-structure investigations in hydraulic machines using coupled simulations based on dynamical re-mesh are particularly time-consuming. This paper presents an implementation of an immersed boundary (IB) method for dynamical boundary flowing problem in a flow solver based on the fractional time step method and the finite different method, which is validated by a basic numerical example. The hydrofoil, which is surrounded by incompressible flow, is modeled with forced pitching motions. To seek better understanding of the coupled hydrodynamic performance of an oscillating (fully active) hydrofoil, a forced motion of non-sinusoidal oscillating is investigated for different pitching frequencies f and maximum angle amplitude theta(0) as well as profile parameter beta. Effects of non-sinusoidal pitching motion on the hydrodynamic load and power input performance are investigated under different pitching motional parameters. The results show that the time-averaged input power gradually increases with both the pitching frequency f and profile parameter beta while it decreases with the maximum pitching amplitude theta(0). The instantaneous peak value of input power also increases with both the pitching frequency f and profile parameter rising up. In addition, the flow fields for different motional parameters are discussed. The different vortex evolutions for various beta and pitching frequency remind us that the flow around a flapping foil is complicated and strongly related to the unsteady hydrodynamics. The present research results are helpful to control strategy design for the hydrofoil movement in the operating process of turbine unit.
机译：使用基于动态网格划分的耦合模拟在液压机中进行流体结构研究特别耗时。本文基于分数时间步长法和有限差分法，提出了一种求解流动边界中动态边界流动问题的浸入边界（IB）方法的实现，并通过一个基本的数值算例进行了验证。被不可压缩的流动包围的水翼通过强制俯仰运动进行建模。为了更好地理解振荡（完全活动）水翼的耦合水动力性能，针对不同的俯仰频率f和最大角度幅度theta（0）以及轮廓参数β，研究了非正弦振荡的强迫运动。研究了在不同俯仰运动参数下非正弦俯仰运动对水动力负载和动力输入性能的影响。结果表明，时间平均输入功率随俯仰频率f和轮廓参数β的增加而逐渐增大，而随最大俯仰幅度theta（0）的减小而减小。输入功率的瞬时峰值也随着俯仰频率f和轮廓参数的升高而增加。此外，还讨论了不同运动参数的流场。各种β和俯仰频率的不同涡旋演变提醒我们，拍打箔片周围的流动非常复杂，并且与非定常流体动力学密切相关。本研究结果有助于水轮机机组运行过程中水翼运动的控制策略设计。

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