Model reduction and control of a cavity-driven separated boundary layer

Abstract : The control of a globally unstable boundary-layer flow along a two-dimensional cavity is considered. When perturbed by the worst-case initial condition, the flow exhibits a large transient growth associated with the development of a wave packet along the cavity shear layer followed by a global cycle related to the least stable global eigenmodes. The flow simulation procedure is coupled to a measurement feedback controller, which senses the wall shear stress at the downstream lip of the cavity and actuates at the upstream lip. A reduced model for the control optimization is obtained by a projection on the least stable global eigenmodes. The LQG controller is run in parallel to the Navier-Stokes time integration. It is shown that the controller is able to damp out the global oscillations.
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Contributor : Uwe Ehrenstein <>
Submitted on : Tuesday, September 29, 2009 - 4:19:10 PM
Last modification on : Monday, March 4, 2019 - 2:04:10 PM

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  • HAL Id : hal-00420783, version 1

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Espen Akervik, Jérôme Hoepffner, Uwe Ehrenstein, Dan S. Henningson. Model reduction and control of a cavity-driven separated boundary layer. IUTAM Symposium on Flow Control and Mems, Sep 2006, Royal Geog Soc. London, United Kingdom. pp.147-155. ⟨hal-00420783⟩

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