基于拉格朗日拟序结构的局部激励流动分离控制有效性分析方法

从流体输运角度提出了用于局部周期激励流动分离控制有效性研究的数值分析方法。基于有限时间不变流形理论建立用于非定常流动的流体输运分析方法，并采用数值方法从非定常流场中提取得到吸引拉格朗日拟序结构（LCSs）和排斥LCSs描述流体输运行为。通过对局部周期激励的流动分离控制规律的研究，结果表明存在三种与激励频率相关的影响翼型气动特性的流体输运模式，其中在锁频激励下吸引LCSs在前缘形成的尖楔结构有效增强主流与分离区流体的物质交换，减小翼面流动分离区的面积，显著提高翼型升力。

A method for effectiveness analysis of flow separation control by local actuation based on Lagrangian coherent structures

A numerical method for the effectiveness analysis for the flow separation control by local periodic actuation is presented from the perspective of fluid transport. Finite time invariant manifold theory is used for the establishment for fluid transport analysis of unsteady flow. The attracting Lagrangian coherent structures (LCSs) and the repelling LCSs are extracted from the unsteady flow field using numerical method to describe the behaviors of fluid transport. Study on the flow separation control of local periodic excitation indicates that there exist three kinds of fluid transport mode with actuating frequency affecting the aerodynamic performance of the airfoil. In particular, as the actuation with lock-in frequency is activated, the material spike formed at the leading edge from the attracting LCSs effectively enhances the fluid exchange between mainstream and separation region, which reduces the area of separation zone, and significantly improves the airfoil lift.