A quantitative analysis of leading edge vortices in flapping wing aerodynamics

Abstract

The leading edge vortex (LEV) is one of the most important lift augmentation mechanisms in flapping wing aerodynamics. We propose a methodology that aims to provide a quantitative description of the LEV. The first step of the method consists of the identification of the vortical structures surrounding the wing using the Q criterion. The impact of the employed threshold is shown to be minor, not influencing the observed trends. In the second step, we identify the core of the LEV using a thinning algorithm, discriminating the LEV using the orientation of the locally averaged vorticity vector. Finally, we compute relevant flow quantities along the LEV core, by averaging in planes perpendicular to the local vorticity at the LEV core points. We have applied this methodology to flow data corresponding to a pair of wings performing a flapping motion in forward flight at moderate Reynolds number. We have performed a geometrical characterization of the LEV and we have computed several flow quantities along the LEV core. For the particular configuration under study, we have shown that the LEV, during the first half of the downstroke, develops and grows, increasing its circulation smoothly. Approximately at mid-downstroke, the leading edge vortex starts splitting and its downstream part is advected towards the wake while keeping its circulation rather constant. Finally, we have briefly explored the link between the sectional lift on the wing and the local circulation obtained with the present methodology.