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

Nagarajan, Kaushik Kumar and Cordier, L and Airiau, C (2013) Development and application of a reduced order model for the control of self-sustained instabilities in cavity flows. Communication in Computational Physics, 14. pp. 186-218. ISSN 1991-7120

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Abstract

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 the method 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 them inimization 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:	Copyright to this article belongs to M/s. Global Science Press
Uncontrolled Keywords:	Reduced order modelling;Proper orthogonal decomposition; Cavity flows;Feedback control
Subjects:	ENGINEERING > Fluid Mechanics and Thermodynamics PHYSICS > Physics(General)
Depositing User:	Ms. Alphones Mary
Date Deposited:	11 Feb 2014 04:02
Last Modified:	11 Feb 2014 04:02
URI:	http://nal-ir.nal.res.in/id/eprint/11920

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