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Optimized Waveforms for Feedback Control of Vortex Shedding

Joe, Won Tae and Colonius, Tim and MacMynowski, Douglas G. (2010) Optimized Waveforms for Feedback Control of Vortex Shedding. In: Active flow control II. Notes on Numerical Fluid Mechanics and Multidisciplinary Design . No.108. Springer , Berlin, pp. 391-404. ISBN 978-3-642-11734-3.

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Optimal control theory is combined with the numerical simulation of an incompressible viscous flow to control vortex shedding in order to maximize lift. A two-dimensional flat plate model is considered at a high angle of attack and a Reynolds number of 300. Actuation is provided by unsteady mass injection near the trailing edge and is modeled by a compact body force. The adjoint of the linearized perturbed equations is solved backwards in time to obtain the gradient of the lift to changes in actuation (the jet velocity), and this information is used to iteratively improve the controls. The optimized control waveform is nearly periodic and locked to vortex shedding. We compare the results with sinusoidal open- and closed-loop control and observe that the optimized control is able to achieve higher lift than the sinusoidal forcing with more than 50% lower momentum coefficients. The optimized waveform is also implemented in a simple closed-loop controller where the control signal is shifted or deformed periodically to adjust to the (instantaneous) frequency of the lift fluctuations. The feedback utilizes a narrowband filter and an Extended Kalman Filter to robustly estimate the phase of vortex shedding and achieve phase-locked, high lift flow states.

Item Type:Book Section
Related URLs:
URLURL TypeDescription ReadCube access
Colonius, Tim0000-0003-0326-3909
MacMynowski, Douglas G.0000-0003-1987-9417
Additional Information:© 2010 Springer-Verlag Berlin Heidelberg. This work was supported by the US Air Force Office of Scientific Research (FA9550-05-1-0369) with some of the computations made possible by the US Department of Defense High Performance Computing Modernization Program. We are thankful to Professor G. Tadmor for the enlightening discussions. Some of the work here has been presented in a preliminary form in AIAA Paper 2009-4027.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Series Name:Notes on Numerical Fluid Mechanics and Multidisciplinary Design
Issue or Number:108
Record Number:CaltechAUTHORS:20110418-093737292
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23352
Deposited By: Tony Diaz
Deposited On:15 Jun 2011 18:26
Last Modified:05 May 2020 18:36

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