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Control of Tollmien–Schlichting instabilities by finite distributed wall actuation

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Abstract

Tollmien–Schlichting waves are one of the key mechanisms triggering the laminar-turbulent transition in a flat-plate boundary-layer flow. By damping these waves and thus delaying transition, skin friction drag can be significantly decreased. In this simulation study, a wall segment is actuated according to a control scheme based on a POD-Galerkin model driven extended Kalman filter for state estimation and a model predictive controller to dampen TS waves by negative superposition based on this information. The setup of the simulation is chosen to resemble actuation with a driven compliant wall, such as a membrane actuator. Most importantly, a method is proposed to integrate such a localized wall actuation into a Galerkin model.

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Authors and Affiliations

  1. Chair of Measurement and Control, Berlin Institute of Technology, Sekr. ER2-1, Hardenbergstr. 36a, 10623, Berlin, Germany

    Nikolas R. Losse & Rudibert King

  2. Institute of Aerodynamics and Gasdynamics, University of Stuttgart, Pfaffenwaldring 21, 70569, Stuttgart, Germany

    Marcus Zengl & Ulrich Rist

  3. Institut Pprime, Département Fluides, CNRS—Université de Poitiers—ENSMA, UPR 3346, Thermique, Combustion, CEAT, 43 rue de l’Aérodrome, 86036, Poitiers Cedex, France

    Bernd R. Noack

Authors
  1. Nikolas R. Losse
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  2. Rudibert King
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  3. Marcus Zengl
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  4. Ulrich Rist
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  5. Bernd R. Noack
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Correspondence to Nikolas R. Losse.

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Communicated by T. Colonius

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Losse, N.R., King, R., Zengl, M. et al. Control of Tollmien–Schlichting instabilities by finite distributed wall actuation. Theor. Comput. Fluid Dyn. 25, 167–178 (2011). https://doi.org/10.1007/s00162-010-0192-8

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  • DOI: https://doi.org/10.1007/s00162-010-0192-8

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