Development and Application of a Reduced Order Model for the Control of Self-Sustained Instabilities in Cavity Flows

作     者：Kaushik Kumar Nagarajan Laurent Cordier Christophe Airiau 

作者机构：National Aerospace LaboratoriesBengaluru560017India PPRIME Institute CEAT43 route de l’aerodrome86000 PoitiersFrance Universite de Toulouse/INPTUPS/IMFT(Institut de M´ecanique des Fluides de Toulouse)/Allee Camille SoulaF-31400 ToulouseFrance 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2013年第14卷第6期

页      面：186-218页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by a Marie Curie Early Stage Research Training Fellowship of the European Community’s Sixth Framework Programme under contract number MEST CT 2005020301 

主　　题：Reduced order modelling proper orthogonal decomposition cavity flows feedback control 

摘      要：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 *** 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 *** model has been extended to include the effect of *** Reduced Order dynamical system shows a divergence in time integration.A method of calibration based on the minimization of a linear functional of error,to the sensitivity of the modes,is *** calibrated low order model is used to design a feedback control of cavity flows based on an observer *** the experimental implementation of the controller,a state estimate based on the observed pressure measurements is obtained through a linear stochastic *** the obtained control is introduced into the Direct Numerical Simulation to obtain a decrease in spectra of the cavity acoustic mode.