Flow Control: the Renewal of Aerodynamics?

Flow control is concerned with the targeted manipulation of intrinsic flow behavior to optimally satisfy prescribed objectives. This article will give an overview of the most common tools for the design of control strategies. We focus on linear control that is aimed at stabilizing fixed points of the Navier-Stokes equations, such as those existing in the case of transitional flows. Key steps to build a Galerkin-based and a data-based model will be presented and illustrated on two generic flow configurations: flow over an open cavity and over a backward-facing step. In the former case, a feedback configuration will result and particular attention will be paid to performance measures and robustness analyses. For the latter case, a feedforward setup has been chosen and a system-identification method will be employed to extract the fluid behavior from data sequences, via statistical learning techniques.

[1]  Gilead Tadmor,et al.  Spatiotemporal Waveform Observers and Feedback in Shear Layer Control , 2006 .

[2]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[3]  A. Serrani,et al.  Feedback control of subsonic cavity flows using reduced-order models , 2007, Journal of Fluid Mechanics.

[4]  O. Marquet,et al.  Sensitivity analysis and passive control of cylinder flow , 2008, Journal of Fluid Mechanics.

[5]  Eric Coustols,et al.  NUMERICAL PREDICTION OF SHOCK INDUCED OSCILLATIONS OVER A 2D AIRFOIL: INFLUENCE OF TURBULENCE MODELLING AND TEST SECTION WALLS , 2006, Proceeding of Fourth International Symposium on Turbulence and Shear Flow Phenomena.

[6]  Stephen F. McGrath,et al.  Active control of shallow cavity acoustic resonance , 1996 .

[7]  Sébastien Deck,et al.  Zonal-Detached Eddy Simulation of Transonic Buffet on a Civil Aircraft Type Configuration , 2008 .

[8]  Harvey H. Hubbard,et al.  Aeroacoustics of Flight Vehicles: Theory and Practice. Volume 1: Noise Sources , 1991 .

[9]  Holger Babinsky,et al.  An experimental investigation of three-dimensional shock control bumps applied to transonic airfoils , 2012 .

[10]  Philippe Geffroy,et al.  Observations on the Passive Control of Flow Oscillations Over a Cavity in a Transonic Regime by Means of a Spanwise Cylinder , 2008 .

[11]  Clarence W. Rowley,et al.  Dynamics and control of high-reynolds-number flow over open cavities , 2006 .

[12]  Jean Delery,et al.  Study of Passive Control in a Transonic Shock Wave/Boundary-Layer Interaction , 1998 .

[13]  Holger Babinsky,et al.  Vortex Generators for a Normal Shock/Boundary Layer Interaction with a Downstream Diffuser , 2012 .

[14]  Jörn Sesterhenn,et al.  Global stability of swept flow around a parabolic body: connecting attachment-line and crossflow modes , 2008, Journal of Fluid Mechanics.

[15]  Hanno H. Heller,et al.  Sound Radiation from Aircraft Wheel-WelVLanding-Gear Configurations , 1977 .

[16]  Thomas Bewley,et al.  A Linear Systems Approach to Flow Control , 2007 .

[17]  P. J. W. Block,et al.  Noise response of cavities of varying dimensions at subsonic speeds , 1976 .

[18]  Avi Seifert,et al.  Oscillatory Control of Shock-Induced Separation , 1998 .

[19]  Clarence W. Rowley,et al.  Feedback control of flow resonances using balanced reduced-order models , 2011 .

[20]  Philippe Geffroy,et al.  The mixing layer over a deep cavity at high-subsonic speed , 2003, Journal of Fluid Mechanics.

[21]  Ryszard Szwaba,et al.  Comparison of the influence of different air-jet vortex generators on the separation region , 2011 .

[22]  Thomas Bewley,et al.  Optimal and robust control and estimation of linear paths to transition , 1998, Journal of Fluid Mechanics.

[23]  H. Rosemann,et al.  Shock control on a swept wing , 2000 .

[24]  J. S. Gibson Non-engine aerodynamic noise investigation of a large aircraft , 1974 .

[25]  J. Rossiter Wind tunnel experiments on the flow over rectangular cavities at subsonic and transonic speeds , 1964 .

[26]  Robert King Active Flow Control , 2007 .

[27]  Sanjay S. Joshi,et al.  A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow , 1997, Journal of Fluid Mechanics.

[28]  Sami Yamouni Contrôle en boucle ouverte des instationnarités de cavité en régime transsonique , 2013 .

[29]  Holger Babinsky,et al.  Separated Shock-Boundary-Layer Interaction Control Using Streamwise Slots , 2005 .

[30]  H. Holden,et al.  Effect of Microvortex Generators On Seperated Normal Shock/ Boundary Layer Interactions , 2007 .

[31]  Denis Sipp,et al.  Interaction between feedback aeroacoustic and acoustic resonance mechanisms in a cavity flow: a global stability analysis , 2013, Journal of Fluid Mechanics.

[32]  Peter J. Schmid,et al.  Closed-loop control of an open cavity flow using reduced-order models , 2009, Journal of Fluid Mechanics.

[33]  D. Magidov,et al.  Predicting the onset of flow unsteadiness based on global instability , 2007, J. Comput. Phys..

[34]  T. Barber,et al.  Numerical analysis of shock-induced separation alleviation using vortex generators , 1992 .

[35]  Denis Sipp,et al.  Effect of compressibility on the global stability of axisymmetric wake flows , 2010, Journal of Fluid Mechanics.

[36]  Eric Garnier,et al.  Large-Eddy Simulation of Transonic Buffet over a Supercritical Airfoil , 2004 .

[37]  C. Rowley,et al.  Feedback control of unstable steady states of flow past a flat plate using reduced-order estimators , 2009, Journal of Fluid Mechanics.

[38]  Martin Kiran Rao,et al.  An experimental investigation of the use of air jet vortex generators to control shock induced boundary layer separation , 1988 .

[39]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[40]  J. Robinet,et al.  Bifurcations in shock-wave/laminar-boundary-layer interaction: global instability approach , 2007, Journal of Fluid Mechanics.

[41]  Peter J. Schmid,et al.  A physics-based approach to flow control using system identification , 2012, Journal of Fluid Mechanics.

[42]  Jean Delery,et al.  THE PHYSICS OF SHOCK WAVE/BOUNDARY LAYER INTERACTION CONTROL: LAST LESSONS LEARNED , 2000 .

[43]  Normal shock wave-turbulent boundary-layer interactions in the presence of streamwise slots and grooves , 2002, The Aeronautical Journal (1968).

[44]  C. Tam,et al.  On the tones and pressure oscillations induced by flow over rectangular cavities , 1978, Journal of Fluid Mechanics.

[45]  John Kim,et al.  Control and system identification of a separated flow , 2008 .

[46]  Denis Sipp,et al.  Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows , 2007, Journal of Fluid Mechanics.

[47]  D. Henningson,et al.  Input–output analysis, model reduction and control of the flat-plate boundary layer , 2009, Journal of Fluid Mechanics.

[48]  Hanno H. Heller,et al.  Sound radiation from aircraft wheel-well/landing gear configurations , 1976 .

[49]  Eric Coustols,et al.  URANS Computations of Shock-Induced Oscillations Over 2D Rigid Airfoils: Influence of Test Section Geometry , 2005 .

[50]  Valdis Kibens,et al.  Control of cavity resonance through very high frequency forcing , 2000 .

[51]  K. Sreenivasan,et al.  On the formation and suppression of vortex ‘shedding’ at low Reynolds numbers , 1990, Journal of Fluid Mechanics.

[52]  A. Mignosi,et al.  Separated Flow and Buffeting Control , 2003 .

[53]  D. Rockwell,et al.  Self-sustaining oscillations of flow past cavities. , 1978 .

[54]  Clarence W. Rowley,et al.  Active control of flow-induced cavity oscillations , 2008 .

[55]  Clarence W. Rowley,et al.  Model Reduction for fluids, Using Balanced Proper Orthogonal Decomposition , 2005, Int. J. Bifurc. Chaos.

[56]  Denis Sipp,et al.  Model reduction for fluids using frequential snapshots , 2011 .

[57]  James Peto,et al.  High Frequency Acoustic Suppression - The Mystery of the Rod-in-Crossflow Revealed , 2003 .

[58]  Marco Debiasi,et al.  Development and Implementation of an Experimental-Based Reduced-Order Model for Feedback Control of Subsonic Cavity Flows , 2007 .

[59]  V. Brunet,et al.  Buffet Control by Means of Mechanical and Fluidic Vortex Generators , 2010 .

[60]  Clarence W. Rowley,et al.  Reduced-order models for control of fluids using the eigensystem realization algorithm , 2008, 0907.1907.

[61]  Ahmed A. Hassan,et al.  Control of Shock-Boundary Layer Interactions (SBLIs) Using An Oscillatory Jet , 2007 .

[62]  L. F. East,et al.  Aerodynamically induced resonance in rectangular cavities , 1966 .

[63]  Mo Samimy,et al.  Active control of high-speed and high-Reynolds-number jets using plasma actuators , 2005, Journal of Fluid Mechanics.

[64]  G. Raman,et al.  Understanding the mechanism of cavity resonance suppression using a cylindrical rod in cross∞ow , 2008 .

[65]  R. Bur,et al.  Separation control by vortex generator devices in a transonic channel flow , 2009 .

[66]  T. Lutz,et al.  Shock-wave/boundary-layer interaction control using three-dimensional bumps for transonic wings , 2007 .

[67]  D. Henningson,et al.  Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes , 2007, Journal of Fluid Mechanics.

[68]  J. Lin,et al.  Exploratory study of vortex-generating devices for turbulent flow separation control , 1991 .

[69]  Vincent Brunet,et al.  Computational Study of Buffet Phenomenon with Unsteady RANS Equations , 2003 .

[70]  Michel Stanislas,et al.  Control of a decelerating boundary layer. Part 1: Optimization of passive vortex generators , 2006 .

[71]  B. R. Noack,et al.  A hierarchy of low-dimensional models for the transient and post-transient cylinder wake , 2003, Journal of Fluid Mechanics.

[72]  V. Brunet,et al.  Control of Buffet Phenomenon on a Transonic Swept Wing , 2013 .

[73]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[74]  Athanasios C. Antoulas,et al.  Approximation of Large-Scale Dynamical Systems , 2005, Advances in Design and Control.

[75]  A. M. Rodde,et al.  Buffet and buffeting control in transonic flow , 2005 .