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Development and application of a reduced order model for the control of self-sustained instabilities in cavity flows

Nagarajan, Kaushik Kumar and Cordier, Laurent and Airiau, Christophe Development and application of a reduced order model for the control of self-sustained instabilities in cavity flows. (2013) Communication in Computational Physics, 14 (1). 186-218. ISSN 1815-2406

(Document in English)

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Official URL: http://dx.doi.org/10.4208/cicp.300112.100812a


Flow around a cavity is characterized by a self-sustained mechanism in which the shear layer impinges on the downstream edge of the cavity resulting in a feedback mechanism. Direct numerical simulations of the flow at low Reynolds number has been carried out to get pressure and velocity fluctuations, for the case of un-actuated and multi frequency actuation. A reduced order model for the isentropic compressible equations based on themethod of proper orthogonal decomposition has been constructed. The model has been extended to include the effect of control. The reduced order dynamical system shows a divergence in time integration. A method of calibration based on theminimization of a linear functional of error, to the sensitivity of the modes, is proposed. The calibrated low order model is used to design a feedback control of cavity flows based on an observer design. For the experimental implementation of the controller, a state estimate based on the observed pressure measurements is obtained through a linear stochastic estimation. Finally the obtained control is introduced into the Direct Numerical Simulation to obtain a decrease in spectra of the cavity acoustic mode.

Item Type:Article
Additional Information:Thanks to Global Science Press editor. The original PDF of the article can be found at Communication in Computational Physics website : http://www.global-sci.com/
HAL Id:hal-00925523
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > ISAE-ENSMA Ecole Nationale Supérieure de Mécanique et d'Aérotechnique (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Université de Poitiers (FRANCE)
Other partners > CSIR-National Aerospace Laboratories - NAL (INDIA)
Laboratory name:
Deposited On:08 Jan 2014 10:05

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