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Designing effective control for complex three-dimensional flow fields provesto be non-trivial. Oftentimes, intuitive control strategies lead to suboptimalcontrol. To navigate the control space, we utilize a linear parabolizedstability analysis to guide the design of a control scheme for a trailingvortex flow field aft of a NACA0012 half-wing at an angle of attack $\alpha =5^\circ$ and a chord-based Reynolds number $Re = 1000$. The stability resultsshow that the unstable mode with the smallest growth rate (fifth wake mode)provides a pathway to excite a vortex instability, whereas the principalunstable mode remains in the wake of the wing. Inspired by this finding, weperform direct numerical simulations that excite each mode with body forcesmatching the shape function from the stability analysis. Relative to thebaseline uncontrolled case, the principal wake mode reduces the vortex length,while the fifth wake mode further shortens the tip vortex. Analogously, thestreamwise circulation of the trailing vortex is found to be significantlyreduced. From these results, we conclude that a rudimentary linear stabilityanalysis can provide key insight into the underlying physics and help engineersdesign more effective control.

Active attenuation of a trailing vortex inspired by a parabolized stability analysis