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Frequency selection by feedback control in a turbulent shear flow

Published online by Cambridge University Press:  18 May 2016

Vladimir Parezanović ,
Laurent Cordier ,
Andreas Spohn ,
Thomas Duriez ,
Bernd R. Noack ,
Jean-Paul Bonnet ,
Marc Segond ,
Markus Abel  and
Steven L. Brunton
Vladimir Parezanović*
Affiliation:
Institut PPRIME - CNRS, Université de Poitiers, ISAE-ENSMA, 11 Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France ISAE-SUPAERO, Département d’Aérodynamique, Énergétique et Propulsion, 10 avenue Édouard Belin, F-31055 Toulouse, France
Laurent Cordier
Affiliation:
Institut PPRIME - CNRS, Université de Poitiers, ISAE-ENSMA, 11 Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France
Andreas Spohn
Affiliation:
Institut PPRIME - CNRS, Université de Poitiers, ISAE-ENSMA, 11 Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France
Thomas Duriez
Affiliation:
Institut PPRIME - CNRS, Université de Poitiers, ISAE-ENSMA, 11 Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France Laboratorio de FluidoDinamica - Facultad de Ingeneria CONICET - Universidad de Buenos Aires, Paseo Colon 850, Ciudad Autonoma de Buenos Aires, Argentina
Bernd R. Noack
Affiliation:
Institut PPRIME - CNRS, Université de Poitiers, ISAE-ENSMA, 11 Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France Institut für Strömungsmechanik Technische Universität Braunschweig, Hermann-Blenk-Str. 37, D-38108 Braunschweig, Germany LIMSI-CNRS, UPR 3251, Campus Universitaire d’Orsay, bât 508, F-91405 Orsay, France
Jean-Paul Bonnet
Affiliation:
Institut PPRIME - CNRS, Université de Poitiers, ISAE-ENSMA, 11 Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France
Marc Segond
Affiliation:
Phedes Lab, Calle Luis Fernandez Castañon, 4 - 2$^{\circ }$B, E-33013 Oviedo, Spain
Markus Abel
Affiliation:
Ambrosys GmbH, Albert-Einstein-Str. 1-5, D-14469 Potsdam, Germany University of Potsdam, Karl-Liebknecht-Str. 24/25, D-14476 Potsdam, Germany
Steven L. Brunton
Affiliation:
University of Washington, Mechanical Engineering Department, Seattle, WA 98195, USA
*
†Email address for correspondence: vladimir.parezanovic@isae.fr
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Abstract

Many previous studies have shown that the turbulent mixing layer under periodic forcing tends to adopt a lock-on state, where the major portion of the fluctuations in the flow are synchronized at the forcing frequency. The goal of this experimental study is to apply closed-loop control in order to provoke the lock-on state, using information from the flow itself. We aim to determine the range of frequencies for which the closed-loop control can establish the lock-on, and what mechanisms are contributing to the selection of a feedback frequency. In order to expand the solution space for optimal closed-loop control laws, we use the genetic programming control (GPC) framework. The best closed-loop control laws obtained by GPC are analysed along with the associated physical mechanisms in the mixing layer flow. The resulting closed-loop control significantly outperforms open-loop forcing in terms of robustness to changes in the free-stream velocities. In addition, the selection of feedback frequencies is not locked to the most amplified local mode, but rather a range of frequencies around it.

JFM classification

Boundary Layers: Free shear layers Flow Control: Instability control Turbulent Flows: Turbulence control
Type
Papers
Information
Journal of Fluid Mechanics , Volume 797 , 25 June 2016 , pp. 247 - 283
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Copyright
© 2016 Cambridge University Press 

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