Using data from numerical simulations, we show that the lift experienced by both impulsively started and surging airfoils correlates well with the sum of the circulation of the leading-edge vortices truncated at the trailing edge. Therefore, we suggest that reasonable estimates of the lift can be obtained using only two vortex parameters, i.e., its circulation and its position. In addition to being convenient for non-intrusive estimation of forces from PIV measurements, we show that this approach can be used to derive low-order models for the analysis of vortex-lift configurations. In particular, we apply this correlation to model high-amplitude surging, which allows us to quantify the effect of wake-capture mechanisms and to determine the flow parameters that drive optimal lift.

使用来自数值模拟的数据，我们表明，冲动启动和喘振型翼型所经历的升力与在后缘截断的前沿涡旋的循环总和具有良好的相关性。因此，我们建议仅使用两个涡旋参数，即其环流和位置，即可获得对升程的合理估计。除了方便通过PIV测量进行非侵入式力估算外，我们还表明，该方法可用于导出低阶模型，用于分析涡升构型。特别是，我们将此相关性应用于高振幅波动的模型，这使我们能够量化尾流捕获机制的影响，并确定驱动最佳升力的流量参数。