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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Model Reduction and Control of a Cavity-Driven Separated Boundary Layer
verfasst von : Espen Åkervik, Jérôme Hœpffner, Uwe Ehrenstein, Dan S. Henningson
Erschienen in: IUTAM Symposium on Flow Control and MEMS
Verlag: Springer Netherlands
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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.