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Multiscale Active Flow Control

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Flow Control

Part of the book series: Lecture Notes in Physics ((LNPMGR,volume 53))

Abstract

The physics of the multiscale patterns of flows is introduced in the first part: it is the foundation for analysis of the control of flow. Then a careful distinction is made between control as a passive mean for improving the properties of natural flows relevant to a given application, and control as a robust active tool to optimize a cost function. Improvements of the performances of engineering systems relying on flow of fluids may use passive means or active controller, sensors and actuators to withstand the external perturbations. Consideration of such types of active and passive control and of calming or increasing unsteadiness forms the subject matter of the following parts in flows of high Reynolds number relevant to major applications with turbulence or chaotic behavior. These progress towards increasing complexity of control: from the simpler control of amplitude of turbulence and chaos everywhere in the flow to achieve its homogenization to the more complex control aimed to reduce such amplitude. Methodology relying on a mix of experimental and numerical assessment of the problems and of possible solutions is needed for mastering the level of difficulties involved in complex flow control. The final part is devoted to the problems of applications, when a real-life controlled flow system is to be built, demonstrated and certified at the level of safety presently required for advanced aviation systems in operation.

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References

  • Abarbanel, S. S., Don, W. S., Gottlieb, D., Rudy, D. H., Townsend, J. C. (1991): Secondary Frequencies in the Wake of a Circular Cylinder with Vortex Shedding. J. Fluid Mech. 255, 557–574.

    ADS  Google Scholar 

  • Abid, M., Bracket, M.E. (1992): Mécanisme de Génération des Jets Latéraux dans les Jets Axisymetriques Forcés. C. R. Acad. Sci. Paris.

    Google Scholar 

  • Antonov, Kouptov, Komanov (1990): Pulsátil davlenya. Moscow (in Russian).

    Google Scholar 

  • Aref, H., Jones, S.W. (1989): Enhanced Separation of Diffusing Particles by Chaotic Advection. Phys. Fluids A 1(3), 470–474.

    ADS  MathSciNet  Google Scholar 

  • Argyris, J., Faust, G., Haase, M. (1993): Routes to Chaos and Turbulence—A Computational Introduction. Phil. Trans. R. Soc. London A. 344, 207–234.

    MATH  ADS  MathSciNet  Google Scholar 

  • Arnold, V.l. (1965): Dokl. Akad. Nauk 162, 975–978. Moscow (in Russian).

    Google Scholar 

  • Arnold, V.l. (1966): IZV. Vyssh. Uchcbn. Zaved Mathematika 54(3). Moscow (in Russian).

    Google Scholar 

  • Bailly, C, Lafon, P., Candel, S. (1994): Computation of Subsonic-Supersonic Jet Noise with a Modified k-ε Model. Acta Acoustics 2101.

    Google Scholar 

  • Balakumat, P., Hall, P. (1950): Optimum Section Distribution for Transition Control. AIAA.

    Google Scholar 

  • Bardos, C, Bourquin, F., Lebeau, G. (1991): Calcul de Dérivées Normales et Méthodes de Galerkin Appliquée au Problème de Contrôlabilité Exact. C. R. Acad. Sci. Paris 313, Série I, 757–760.

    MATH  MathSciNet  Google Scholar 

  • Bardos, C, Lebeau, G., Rauch, J. (1992): Sharp Sufficient Conditions for the Observation, Control and Stabilization of Waves from the Boundary. S.I.A.M. J. Control & Optimization. 30(5), 1024–1065.

    MATH  MathSciNet  Google Scholar 

  • Bar-Sever, A. (1989): Separation Control on an Airfoil by Periodic Forcing. AIAA J. 27(6), 820–821.

    ADS  Google Scholar 

  • Batt, R.G. (1975): Some Measurements on the Effect of Tripping the Two-Dimensional Shear Layer. AIAA J. 13(2), 245–247.

    ADS  Google Scholar 

  • Bechert, W. D., Pfitzenmeier, E. (1976): On the Amplification of Broadband Jet Noise by a Pure Tone Excitation. AIAA Paper 76-489.

    Google Scholar 

  • Bechert, W. D., Stahl, B. (1988): Excitation of Instability Waves in Free Shear Layers. Part 2. Experiments. J. Fluid Mech. 186, 63.

    MATH  ADS  Google Scholar 

  • Bera, J.C., Sunyach, M. (1994): Active Control of Bursting Phenomena in Transitional Boundary Layers. In Proceedings of Euromech Colloquium 328.

    Google Scholar 

  • Berge, P., Pomeau, Y. (1988): Le Chaos Theorie et Experiences. Eyrolles Paris.

    Google Scholar 

  • Berkooz, G., Hohnes, P., Lumley, J. L. (1993): The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows. J. of Fluid Mech. 25, 539–575.

    ADS  Google Scholar 

  • Bertoglio, J.-P., Jeandel, D. (1987): A Simplified Spectral Closure for tnhomogeneous Turbulence: Application to the Boundary Layer. Fifth Turb. Shear Flows (Springer-Verlag, Berlin).

    Google Scholar 

  • Bertoglio, J.-P., Shao, L., Parpáis, S., Courty, J.C., Ravachol, M., Uny, G., De Vuyst, F. (1994): A Simplified Spectral Model for Inhomogeneous and Non Equilibrium Turbulence. 25th AIAA Fluid Dynamics Conference. Colorado Springs, Colorado.

    Google Scholar 

  • Bewley, T. R., Choi, H., Temam, R., Moin, P. (1993): Optimal Feedback Control of Turbulent Channel Flow. Technical Report, Annual Research Briefe 1993, Center for Turbulence Research, Stanford University, California.

    Google Scholar 

  • Bilanin, A.J., Covert, E.E. (1973): Estimation of Possible Excitation. Frequencies for Shallow Rectangular Cavities. AIAA Journal 11(3), 347–351.

    ADS  Google Scholar 

  • Billoud, G., Huynh Huu, C, Galland, M.A., Candel, S. (1992): Adaptive Active Control of Combustion Instabilities. Combustion, Sciences & Technology 81, 257–283.

    Google Scholar 

  • Binder, G., Didell (1981): AGARD Conference Proceedings on Aeroacoustics, no. 308.

    Google Scholar 

  • Binder, G., Tardu, S. (1990): Boundary Layer Response to Harmonic Forcing. INP Grenoble, France.

    Google Scholar 

  • Bishop, K., Chen, E. (1996): Optical Tomography of the Effect of Excitation of a Heated Round Jet. AIAA Paper 96-2323.

    Google Scholar 

  • Bonnet, Ouzaa, Sabrit, Gresillon (1993): Density Fluctuations and Acoustic Waves in Supersonic Mixing Layers. 9th Symposium on Turbulent Shear Flows. Kyoto, Japan.

    Google Scholar 

  • Bourquin, F. (1993): Approximation Theory for the Problem of Exact Controllability of the Wave Equation with Boundary Control. Proc. Second SIAM Conference on Mathematical and Numerical Aspects of Wave Propagation. Newark, Delaware.

    Google Scholar 

  • Bristeau, M., Pironneau, O., Glowinski, R., Periaux, J., Perrier, P., Poirier, G. (1983): Application of Optimal Control and Finite Element Methods to the Calculation of Transonic Flows and Incompressible Viscous Flows. Numerical Methods in Applied Fluid Mechanics, ed. B. Hunt, pp. 203–312 (Academic Press, London).

    Google Scholar 

  • Broze, G., Hussain, F. (1996): Transition to Chaos in a Forced Jet: Intermittency, Tangent Bifurcations and Hysteresis. J. Fluid Mech. 311, 97–71.

    MathSciNet  Google Scholar 

  • Buell, J. C, Huerre, P. (1988): Inflow/Outflow Boundary Conditions and Global Dynamics of Spatial Mixing Layers. Proceedings of the Summer Program, Center for Turbulence Research, Stanford University, California. CTR.

    Google Scholar 

  • Burdisso, T., O’Brien, F. (1994): Active Control of Spinning Acoustic Modes from a turbofan engine. AIAA Paper 94-0361.

    Google Scholar 

  • Burns, J., Ou, Y. (1994): Active control of vortex shedding. AIAA Paper 94-0182.

    Google Scholar 

  • Candel, S. M. (1992): Combustion Instabilities Coupled by Pressure Waves and their Active Control. 24th Symposium on Combustion.

    Google Scholar 

  • Carpenter, R. (1996): A Novel Velocity-Vorticity Formulation of the Navier-Stokes Equations for Application to Laminar Flow Control. Eccomas 96.

    Google Scholar 

  • Casalis, G. (1997): Boundary Layer Receptivity and Unstable Waves Control. C. R. Acad. Sci. Paris.

    Google Scholar 

  • Celik, Z., Roberts, L. (1994): Vortical Flow control on a Delta Wing by lateral Blowing. AIAA Paper 94-0509.

    Google Scholar 

  • Chacon, T. (1995): Numerical Analysis of Optimal Control of Navier-Stokes Equations: Control of Large Scales. H.C.M. Report, Univ. Seville.

    Google Scholar 

  • Chandrasekhar, S. (1996): NPS Monterey. AIAA Paper 96-1953.

    Google Scholar 

  • Choi, H. (1995): Suboptimal Control of Turbulent Flow Using Control Theory. International Symposium of Mathematical Modeling of Turbulent Flows.

    Google Scholar 

  • Choi, H., Temam, R., Moin, P., Kim, J. (1993): Feedback Control for Unsteady Flow and its Application to the Stochastic Burgers Equation. J. Fluid Mech. 253, 509–543.

    MATH  ADS  MathSciNet  Google Scholar 

  • Chollet, J.-P., Lesieur, M. (1981): Unsteady Grid Modelling. J. Atmos. Science 38, 2747–2757.

    ADS  Google Scholar 

  • Compton, D. A., Johnston, J.P. (1992): Streamwise Vortex Production by Pitched and Skewed Jets in a Turbulent Boundary Layer. AIAA J. 30(3), 640–647.

    ADS  Google Scholar 

  • Coron, J.M. (1993): Controllability de l’Équation de Navier Stokes Incompressible Bidimensionnelle. C. R. Ac. Sc. Paris 317, 271–276.

    MATH  MathSciNet  ADS  Google Scholar 

  • Coron, J.M. (1996): On the Controllability of 2D Incompressible Perfect Fluids. J.M.P.A. 96.

    Google Scholar 

  • Craya, A., Curtet, R. (1955): Sur l’Évolution d’un Jet en Espace Confiné. C. R. Acad. Sci. Paris, 621–622.

    Google Scholar 

  • Diaz, J., Lions, J.-L. (1994): No Regret and Low Regret Controls—An Introduction. Environment, Economies and their Mathematical Models, pp. 101–123 (Masson, Paris).

    Google Scholar 

  • Dolecki, S., Russel, D. (1977): A General Theory of Observation and Control. S.I.A.M. J. Control & Stabilization 15(2).

    Google Scholar 

  • Ducros, F., Conte, P., Lesieur, M. (1996): Large-Eddy Simulation of Transition to Turbulence in Boundary Layer Developing Spatially over a Flat Plate. J. Fluid Mech. 326, 1–36.

    MATH  ADS  Google Scholar 

  • Ericsson, L., Mendenhall, M. (1994): On Forebody-Induced Wing Rock. AIAA Paper 94-0167.

    Google Scholar 

  • Erk, P., Ferholtz, H. (1994): An Experimental Study of the Receptivity of a Separated Boundary Layer on a Low-Reynolds Number Airfoil at High Angle of Attack. Proc. of Euromech Colloq., no. 328.

    Google Scholar 

  • Estivalezes, J.L., Eradyn, E. (1992): Numerical Comparison of Outflow Boundary Conditions for the Simulation of Unsteady Compressible Mixing Layers.

    Google Scholar 

  • Falkner, W., Schvek, S., Luttzen, H. (1994): Real Time Prediction and Control of 3D Unsteady Separated Flows Fields Using Neural Networks. AIAA Paper 94-0532.

    Google Scholar 

  • Fernholz, H.-H. (1993): Management and Control of Turbulent Shear Flows. ZAMM 7311, 287–300.

    Google Scholar 

  • Ffowcs Williams, J.E., Kumpton, A. (199) The Noise from the Large-Scale Structure of a Jet. J. Fluid Mech. 84, 673–694.

    Google Scholar 

  • Fiedler, H.E. (1991): Ways and Possibilities of Controlling Turbulent Shear Flows— A Selection of Problems Pursued at HFI and DLR in Berlin. 29th Aerospace Sciences Meeting, AIAA Paper 91-0330.

    Google Scholar 

  • Fiedler, H.E., Dziomba, B., Mensing, P., Rösgen, T. (1981): Initiation, Evolution and Global Consequences of Coherent Structures in Turbulent Shear Flows. In The Role of Coherent Structures in Modelling Turbulence and Mixing, ed. J. Jimenez, Lecture Notes in Physics (Springer, Berlin).

    Google Scholar 

  • Fiedler, H.E., Glezer, A., Wygnanski, I. (1988): Control of Plane Mixing Layer— Some Novel Experiments. In Current Trends in Turbulent Research, AIAA Series, vol. 112, pp. 30–64, eds. H. Branover, M. Mond & Y. Ungers.

    Google Scholar 

  • Fiedler, H.E., Kim, J.-H., Kopp, N. (1991): The Spatially Accelerated Mixing Layer in a Tailored Pressure Gradient. Eur. J. Mech., B/Fluids 10(4), 349–376.

    MATH  Google Scholar 

  • Fursikov, A. (1982): Control Problems and Theorems Concerning the Unique Solvability of a Mixed Boundary Value Problem for the Three-Dimensional Navier-Stokes and Euler Equations. Math. USSR Sbornik 43, 251–273.

    MATH  Google Scholar 

  • Fursikov, A.W., Imanuvilov, O.Y. (1995): On Controllability of Certain Systems Simulating a Fluid Flow. Flow Control, ed. Gunsburger, IMA (Springer, Berlin).

    Google Scholar 

  • Fursikov, A.W., Imanuvilov, O.Y. (1995): On Exact Boundary Zero Controllability of Two-Dimensional Navier-Stokes Equations. Acta Appl. Math. 37, 67–76.

    MathSciNet  Google Scholar 

  • Gad-el-Hak, M., Blackwelder, R.F. (1987): Control of the Discrete Vortices from a Delta Wing. ALA A J. 25, 1042–1049.

    ADS  Google Scholar 

  • Galland, M.A., Billoud, G., Sebbani, M. (1991): Suppression des Oscillations Auto-Entretenues dans un Risonateur de Helmholtz par Contrôle Actif Auto-Adaptatif. C. R. Acad. Sc. Pans 312, Sirie II(7), 695–700.

    Google Scholar 

  • Gaster, M., Wygnanski, I. (1985): Large-Scale Structures in a Forced Turbulent Mixing Layer. J. Fluid Mech. 150, 23–39.

    ADS  Google Scholar 

  • Germano, M., Piomelli, U., Moin, P., Cabot, W. (1991): A Dynamic Subgrid-Scale Eddy-Viscosity Model. Phys. Fluids A 3(7), 1760–1765.

    MATH  ADS  Google Scholar 

  • Gharib, M. (1993): The Effect of Axial Oscillation on a Cylinder Wake. AIAA Paper 93-3240.

    Google Scholar 

  • Gledzer, Villermaux, Kahlaleuras, Gajue (1994): Intermittency. LEGI/IMG Grenoble Univ. Press, France.

    Google Scholar 

  • Glowinski, R., Lions, J.-L. (1994): Exact and Approximate Controllability for Distributed Parameter System. Acta Numerical, 269–378.

    Google Scholar 

  • Glowinski, R., Lions, J.-L. (1995): Exact and Approximate Controllability for Distributed Parameter System. Acta Numerical, 159–333.

    Google Scholar 

  • Goldskin (1996): AIAA Paper 96-2132.

    Google Scholar 

  • Gunzburger, M., Hou, L., Svobodny, T. (1991): Analysis and Finite Element Approximation of Optimal Control Problems for Stationary Navier-Stokes Equations with Distributed and Neumann Controls. Maths. Comput. 57, 123–151.

    MATH  ADS  MathSciNet  Google Scholar 

  • Gunzburger, M., Lee, H. (1994): Feedback Control of Fluid Flows. Proc. 14th IMACS World Congress, Atlanta.

    Google Scholar 

  • Gunzburger, M., Lee, H. (1994): Analysis, Approximation and Computation of a Coupled Solid/Fluid Temperature Control Problem. Comput. Methods Appl. Mech. Eng. 118, 133–152.

    MATH  MathSciNet  Google Scholar 

  • Gunzburger, M., Hou, L., Svobodny, T. (1991): Analysis and Finite Element Approximation of Optimal Control Problems for Stationary Navier-Stokes Equations with Dirichlet Condition. Math Mod. Numer. Anal. 25, 711–748.

    MATH  MathSciNet  Google Scholar 

  • Gunzburger, M., Peterson, J. (1993): The Reduced Basis Method in Control Problems. Computation and Control III, eds. K. Bowers & J. Lund, pp. 211–218 (Birkhauser, Boston).

    Google Scholar 

  • Gutmark, E.J., Shadow, K.C. (1994): Active Control of Bluff-Body Flame-Holder Combustor. AIAA Paper 94-0215.

    Google Scholar 

  • Gutmark, E. J., Schadow, K.C, Yu, K.H. (1995): Mixing Enhancement in Supersonic Free Shear Flows. Annu. Rev. Fluid Mech. 27, 375–417.

    ADS  Google Scholar 

  • Ha Minh, H. (1994): Order and Disorder in Turbulent Flows—Their Impact on Turbulent Modelling. Osborne Reynolds Centenary Symposium, UMIST, England.

    Google Scholar 

  • Hall, W. II (1984): Tests of Wall Blowing Concepts for Diffuser Boundary Layer Control. AIAA Paper 84-1276.

    Google Scholar 

  • Hansen, M. (1994): Effect of Internal Acoustic Excitation on the Vortex Shedding of a Circular Cylinder. Proceedings of Euromech Colloquium, no. 328.

    Google Scholar 

  • Hardouin, Micheau, Tartaria, Lemmonier (1993): An Anti-Pulsatory Device Used as an Active Noise Control System in a Duct. Acta Acoustica I, 289–198.

    Google Scholar 

  • Heenan, A.F., Morrison, J.F. (1994): Control of Pressure Fluctuations Generated by Separated Flow. Proceedings of Eurornech Colloquium, no. 328.

    Google Scholar 

  • Henry, F.S., Pearcey, H.H. (1994): Numerical Model of Boundary-Layer Control Using Jet Generated Vortices. AIAA J. 32(12), 2415–2424.

    Article  ADS  Google Scholar 

  • Hernandez, G., Schönfeld, T., Nicoud, F., Mangiavacchi, N. (1996): Numerical Active Control of Two-Dimensional Boundary Layer Separation. First AIAA Theoretical Fluid Mechanics Meeting, AIAA Paper No. 96-2142.

    Google Scholar 

  • Ho, C.-M. (1982): Vortex Merging. J. Fluid Mech. 119, 443–473.

    ADS  Google Scholar 

  • Ho, C.-M. (1991): Phase Decorrelation of Coherent Structures in a Free Layer. J. Fluid Mech. 230, 319–337.

    MATH  ADS  Google Scholar 

  • Ho, C.-M., Huang, L.-S. (1982): Subharmonics and Vortex Merging in Mixing Layers. J. Fluid Mech. 119, 443–473.

    ADS  Google Scholar 

  • Ho, C.-M., Huerre, P. (1984): Perturbed Free Shear Layers. Annu. Rev. Fluid Mech. 16, 365–464.

    ADS  Google Scholar 

  • Hsiao, F.B., Shyu, J.Y. (1991): Influence of Internal Acoustic Excitation upon a Circular Cylinder. J. Fluid & Structures 5, 427–442.

    ADS  Google Scholar 

  • Huang, H., Kuo, C.C., Uhlig, O., Fiedler, H.E. (1994): Control of the Flow Behind a Backward Facing Step. Proceedings of Euromech Colloquium, no. 328.

    Google Scholar 

  • Huang, L.S., et al. (1967): Separation Control over an Airfoil at High Angle of Attack by Sound Emanating from the Surface. AIAA Paper No. 67-1261.

    Google Scholar 

  • Huang, X.Y. (1996): Feedback Control of Vortex Shedding from a Circular Cylinder. Exp. Fluids 20, 218–224.

    Google Scholar 

  • Huerre, P., Monkewitz, P.A. (1985): Absolute and Convective Instabilities in Free Shear Layers. J. Fluid Mech. 159, 151–168.

    MATH  ADS  MathSciNet  Google Scholar 

  • Huerre, P., Monkewitz, P.A. (1990): Local and Global Instabilities. J. Fluid Mech. 220, 473–537.

    MathSciNet  Google Scholar 

  • Hussain, A.K., Husain, H.S., Zaman, K.B., Tso, J., Hayakawa, M., Takaki, R., Hasan, M.A. (1986): Free Shear Flows—Organized Structures and Effects of Excitation. AIAA Paper No. 86-0235.

    Google Scholar 

  • Hussain, F., Zaman, K.B.M.Q. (1981): The “Preferred Mode” of the Axisymmetric Jet. J. Fluid Mech. 110, p. 3971.

    Google Scholar 

  • Inoue, O. (1992): Double Frequency Forcing on Spatially Growing Mixing Layers. J. Fluid Mech. 234, 553–581.

    MATH  ADS  Google Scholar 

  • Ito, K., Desai, M. (1991): Optimal Control of the Navier-Stokes Equations. Center for Applied Mathematical Sciences Report No. 91-6, Univ. Southern California, Los Angeles.

    Google Scholar 

  • Jendoubi, S., Strykowski, P.J. (1994): Absolute and Convective Instability of Axisymmetric Jets with External Flow. Phys. Fluids 6(9), 3000–3009.

    MATH  ADS  Google Scholar 

  • Jeung, W.R., Al-Sudone, A.S, Turner, J.T. (1994): Aerodynamic Excitation and Control of an Axisymmetric Turbulent Jet. Proc. Euromech Colloquium, no. 328.

    Google Scholar 

  • Johnston, J.P., Nishi, M. (1990): Vortex Generator Jets—Means for Flow Separation Control. AIAA J. 28(6), 989–994.

    ADS  Google Scholar 

  • Joseph, D.D. (1980): Stability of Fluid Motions. Springer Tracts in Natural Philosophy, vols. 27–28 (Springer, Berlin).

    Google Scholar 

  • Joslin, R.D. (1994): Control of Nonlinear Instabilities in Attachment Line Boundary Layer. AIAA Paper No. 94-0826.

    Google Scholar 

  • Joslin, R.D., Nicolaides, R.A., Erlebacher, G., Hussaini, M.Y., Gunzburger, M.D. (1995): Active Control of Boundary Layer Instabilities—Use of Sensors and Spectral Controller. AIAA J. 33(8), 1521–1523.

    ADS  Google Scholar 

  • Katz, Y., Nishri, B., Wygnanski, I. (1989): The Delay of Turbulent Boundary Layer Separation by Oscillatory Active Control. Phys. Fluids 2, 179–181.

    ADS  Google Scholar 

  • Keefe, L.R. (1993): Drag Reduction in Channel Flow Using Nonlinear Control. AIAA Paper No. 93-3279.

    Google Scholar 

  • Kerschen, A. (1996): AIAA Paper No. 96-2135.

    Google Scholar 

  • Kim, J., Kline, S., Johnston, J. (1980): Investigation of Reattaching Turbulent Shear Layer—Flow over a Backward-Facing Step. J. Fluids Eng. 102, 302–308.

    Article  Google Scholar 

  • Kiya, M., Shimizu, M., Mochizuki, O. (1993): Active Forcing of an Axisymmetric Leading Edge Turbulent Separation Bubble. AIAA Paper No. 93-3245.

    Google Scholar 

  • Kiya, M., Shimizu, M., Mochizuki, O., Ido, Y., Tezuka, H. (1993): Active Forcing of an Axisymmetric Leading-Edge Turbulent Separation Bubble. AIAA Shear Flow Conference, Orlando, Florida, AIAA Paper No. 93-3245.

    Google Scholar 

  • Kraichnan, R. (1980): Eddy Viscosity in Two and Three Dimensions. J. Atmos. Sci. 33, 1521–153.

    ADS  Google Scholar 

  • Kusek, Corke, Reisenthel (1990): Seeding of Helical Modes in the Initial Region of an Axisymmetric Jet. Exp. Fluids 10, 116–124.

    Google Scholar 

  • Lamp, A, Chokani, N. (1996): Active Control of Compressible Cavity Flows by Using a Smart Jet. AIAA Paper No. 96-0446.

    Google Scholar 

  • LeDimet, F.X., Talagrand, O. (1986): Assimilations Method. Tellus 38A, 97–110.

    Article  ADS  Google Scholar 

  • Lee, M., Ho, C.-M. (1990): Lift Force of Delta Wings. Appl. Mech. Rev. 43, 209–221.

    Google Scholar 

  • Lee, M., Reynolds, W. C. (1987): Bifurcating and Blooming Jets. Fifth Symposium on Turbulent Shear Flows, pp. 1.7–1.12 (Springer, Berlin).

    Google Scholar 

  • Lee, R., Hanff, E.S., Kind, R.J. (1996): Linear control of side forces and yawing moments wing the dynamic manipulation of forebody vortices. ICAS. 96.2.10.1.

    Google Scholar 

  • Le Pera, S., Vandsburger, U. (1997): Coupled Multijet Excitation. AIAA Paper No. 97-0075.

    Google Scholar 

  • Lesieur, M. (1996): Turbulence in Fluids (Kluwer, Dordrecht, Netherlands).

    Google Scholar 

  • Leu, T.S., Ho, C.-M.(1993): AIAA Paper No. 93-3242.

    Google Scholar 

  • Lilley, G. (1972): Generator and Radiation of Supersonic Jet Noise. Air Force Aerospace Lab. TR 72.

    Google Scholar 

  • Lions, J.-L. (1971): Optimal Control of Systems Governed by Partial Differential Equations (Springer, Berlin).

    MATH  Google Scholar 

  • Lions, J.-L. (1985): Control of Distributed Singular Systems (Bordas, Paris).

    Google Scholar 

  • Lions, J.-L. (1986): Exact Controllability, Stabilization and Perturbations for Distributed Systems. The John Von Neumann Lecture, S.I.A.M. National Meeting, Boston.

    Google Scholar 

  • Lions, J.-L. (1988): Controlabilté Exacte des Systèmes Distribués (Masson Paris).

    Google Scholar 

  • Lions, J.-L. (1990): Are there Connections between Turbulence and Controllability. In Lecture Notes in Control and Information Sciences, vol. 144, eds. A. Bensoussan and J.-L. Lions (Springer, Berlin).

    Google Scholar 

  • Lions, J.-L. (1991): Exact Controllability for Distributed Systems. In Some Trends and Some Problems in Applied and Industrial Mathematics, ed. R. Spigler, pp. 59–84 ((Kluwer, Dordrecht, Netherlands).

    Google Scholar 

  • Lions, J.-L. (1993): Least Regrets Control. In Boundary Value Problems for PDE and Applications. Private communication.

    Google Scholar 

  • Lions, J.-L. (1996): Mathematical Topics in Fluid Mechanics. Vol. 1. Incompressible. Oxford Series in Math, and its Appli., no. 3 (Clarendon, Oxford).

    MATH  Google Scholar 

  • Lions, J.-L., Magenes, E. (1968): Problèmes aux Limites Non Homogènes et Application (Dunod, Paris).

    Google Scholar 

  • Lockwood, M.K., Walker S.H. (1981) Modelling Structurally Damaging Twin Screech. AGARD Conference Proceedings on Aeronautics, no. 308.

    Google Scholar 

  • Longmire, E.K., Duong, L.H. (1966): Bifurcating Jets Generated with Stepped and Sawtooth Nozzles. Phys. Fluids 8(4), 978–992.

    ADS  Google Scholar 

  • Lopez, J., Perry, A. (1992): Axisymmetric Vortex Breakdown. Part 3. Onset of Periodic Flow and Chaotic Advection. J. Fluid Mech. 234, 449–471.

    MATH  ADS  MathSciNet  Google Scholar 

  • Lu, P.J, Yeh, D.Y. (1993): AIAA Paper No. 93-3285.

    Google Scholar 

  • Lumley, J.L. (1996): Control of Turbulence. Dryden Lecture, 34th AIAA Aerospace Sciences Meeting, Reno, Nevada.

    Google Scholar 

  • Martin, J.E., Meiburg, E. (1991): Numerical Investigation of Three-Dimensionally Evolving Jets Subject to Axisymmetric and Azimuthal Perturbations. J. Fluid Mech. 230, 271–318.

    MATH  ADS  Google Scholar 

  • Martin, J.E., Meiburg, E. (1992): Numerical Investigation of Three-Dimensionally Evolving Jets under Helical Perturbations. J. Fluid Mech. 243, 457–487.

    ADS  Google Scholar 

  • Masuda, S., Obi, S., Aoki, K. (1994): Control of Turbulent Separating and Reattaching Flow by Periodic Perturbations. ASME Fluids Engineering Summer Meeting.

    Google Scholar 

  • Mathieu, J., Jeandel, D. (1984): La Simulation des Modèles de Turbulence et leur Application. Vol. 1. Turbulence et Approche Spectral (Eyrolles, Paris).

    Google Scholar 

  • McGrath, Shaw, L. (1996): Active Control of Shallow Cavity Acoustic Resonance. AIAA Paper No. 96-1949.

    Google Scholar 

  • McMamis, K.R., et al. (1995): Active Control of Aerodynamic Stall Using Pulsed Jet Actuators. AIAA Paper No. 96-0210.

    Google Scholar 

  • McManus, K.R., Legner, H.H., Davis, S.J. (1994): Pulsed Vortex Generator Jets for Active Control of Flow Separation. AIAA Paper No. 94-2218.

    Google Scholar 

  • McManus, K.R., Poinsot, T., Candel, S.M. (1993): A Review of Active Control of Combustion Instabilities. Proc. Energy Combust. Sci., vol. 19, pp. 1–29.

    Google Scholar 

  • Metáis, O., Lesieur, M. (1992): Spectral Large-Eddy Simulation of Isotropic and Stably Stratified Turbulence. J. Fluid. Mech. 239, 157–194.

    MATH  ADS  MathSciNet  Google Scholar 

  • Michalke, A. (1989): Survey on Jet Instability Theory. Prog, in Aerospace Sci. 21, 159–199.

    ADS  Google Scholar 

  • Mitchell, B-, Lele, S., Moin, P. (1995): Direct Computation of Sound Generated by Vortex Pairing in an Axisymmetric Jet. AIAA Paper.

    Google Scholar 

  • Mittal, R., Balachandar, S. (1996): AIAA Paper No. 96-0210.

    Google Scholar 

  • Mohammadi, B., Pironneau, O. (1994): Analysis of the K-Epsilon Turbulence Model. J. Wiley, 149–182.

    Google Scholar 

  • Moin, P., Kim, J. (1991): Numerical Investigation of Turbulent Channel Flow. J. Fluid Mech. 118, 341–397.

    ADS  Google Scholar 

  • Monkewitz, P.A. (1988): Global Linear Stability Analysis of Weakly Non-ParaEel Shear Flow. J. Fluid Mech. 251, 1–20.

    ADS  MathSciNet  Google Scholar 

  • Monkewitz, P.A. (1988): Oscillations in the Nearfield. J. Fluid Mech. 255, 323–347.

    Google Scholar 

  • Monkewitz, R.A. (1989): Bulletin American Physical Society 33, p. 2273.

    Google Scholar 

  • Monkewitz, P.A. (1989): Feedback Control of Global Oscillations in Fluid Systems. 2nd Shear Flow Conference, AIAA Paper No. 89-0991.

    Google Scholar 

  • Monkewitz, P.A., Fernholz, H.H., Weickgenannt, A. (1994): The Control of Vortex Shedding from Axisymmetric Bluff Bodies. Proceedings of Euromech Colloquium, no. 328.

    Google Scholar 

  • Monkewitz, P.A., Huerre, P. (1982): Influence of the Velocity Ratio on the Spatial Instability of Mixing Layers. Phys. Fluids 25(7), 1137–1143.

    ADS  Google Scholar 

  • Monkewitz, P.A., Sohn, K.D. (1988): Absolute Instability in Hot Jets. AIAA J. 26, 911–916.

    ADS  Google Scholar 

  • Montividas, R.E., Acharya, M., Metwally, M.H. (1991): Reactive Control of an Unsteady Separating Flow. AIAA J. 30(4), 1133–1134.

    ADS  Google Scholar 

  • Moore, C.J. (1977): The Role of Shear-Layer Instability Waves in Jet Exhaust Noise.

    Google Scholar 

  • Morgan, K., Peraire, J., Peiro, J. (1987): Unstructured Grid Methods for Compressible Flows. In Unstructured Grid Methods for Advection Dominated Flows, AGARD Conference Proceedings.

    Google Scholar 

  • Morris, P.J. (1976): The Spatial Viscous Instability of Axisymmetric Jets. J. Fluid Mech. 77, 511–529.

    MATH  ADS  Google Scholar 

  • Myose, R.Y., Blackwelder, R.F. (1995): Control of Streamwise Vortices Using Selective Suction. AIAA J. 33(6), 1076–1089.

    ADS  Google Scholar 

  • Nagib, H., Reisenthel, P.H., Koga, D. (1985): On the Dynamical Scaling of Forced Unsteady Separated Flows. AIAA Paper No. 85-0553.

    Google Scholar 

  • Nash, L.F. (1994): Laminar Boundary Layer Aeroacoustics Instabilities. AIAA Paper No. 94-0358.

    Google Scholar 

  • Nelson, C.F., Eaton, J.K. (1996): Open Loop Control of the Unsteady Separated Flow Downstream of an Oscillatory Spoiler. AIAA Paper No. 96-0447.

    Google Scholar 

  • Nelson, C.F., Koga, D.J., Eaton, J.K. (1990): Unsteady Separated Flow behind an Oscillating Two-Dimensional Spoiler. AIAA J. 28, 845–852.

    ADS  Google Scholar 

  • Nishioka, M., Asai, M., Yoshida, S. (1990): Control of Flow Separation by Acoustic Excitation. AIAA J. 28(11), 1909–1915.

    ADS  Google Scholar 

  • Nishri, B., Wygnanski, I. (1996): On Flow Separation and its Control. ECCOMAS 1996.

    Google Scholar 

  • Olsson, M., Fuchs, L. (1996): Large Eddy Simulation of the Proximal Region of a Spatially developing circular jet. Phys. Fluids 8(8), 2125–2137.

    ADS  Google Scholar 

  • Orellano, A., Wengle, H. (1995): Numerical Simulation and Analysis of Manipulated Transitional Flow over a Fence. IMACS-COST Conference on Three-Dimensional Complex Flows.

    Google Scholar 

  • Osswald, Y.G. (1993): Management of Dynamic Stall Phenomenon Through Active Control of Unsteady Separation. AIAA Paper No. 93-3284.

    Google Scholar 

  • Ott, E., Grebogi, C, Yorke, J.A. (1990): Controlling Chaos. Phys. Rev. Letter 64, 1196–1199.

    MATH  ADS  MathSciNet  Google Scholar 

  • Ott, E., Sauer, T., Yorke, J.A. (1994): Coping with Chaos (Wiley, New York).

    MATH  Google Scholar 

  • Ou, Y., Sritharan, S. (1994): On the Robustness of the Navier-Stokes Global Attractor. Proc. 14th IMACS World Congress.

    Google Scholar 

  • Papadakis, M., Lin, J. (1996): A Flow Physics Study of Vortex Generators on a Multi-element Airfoil. AIAA Paper No. 96.0548.

    Google Scholar 

  • Park, D.S., Ladd, D.M., Hendricks, E.W. (1994): Feedback Control of von Kármán Vortex Shedding behind a Circular Cylinder at Low Reynolds Number. Phys. Fluids 6, p. 2390.

    MATH  ADS  Google Scholar 

  • Perrier, P. (1997): Some Problems and Paths to Next Century Unsteady Multiscale C.F.D. In Computational Science for the 21st Century, pp. 357–368 (Wiley, New-York).

    Google Scholar 

  • Petersen, R.A. (1978): Influence of Wave Dispersion on Vortex Pairing in a Jet. J. Fluid Mech. 89, 469–495.

    ADS  Google Scholar 

  • Pironneau, O. (1994): Optimal Shape Design for Elliptic Systems. (Springer, New York).

    Google Scholar 

  • Poinsot, T.J., Lele, S.K. (1992): Boundary Conditions for Direct Simulations of Compressible Viscous Flows. J. Computational Physics 101, 104–129.

    MATH  ADS  MathSciNet  Google Scholar 

  • Poinsot, T.J., Trouvé, A., Veynante, D., Candel, S., Esposito, E. (1987): Vortex Driven Acoustically Coupled Combustion Instabilities. J. Fluid Mech. 177, 265–292.

    ADS  Google Scholar 

  • Poje, A.C., Lumley, J.L. (1995): A Model for Large-Scale Structures in Turbulent Shear Flows. J. Fluid Mech. 285, 349–369).

    MATH  ADS  MathSciNet  Google Scholar 

  • Provansal, M., Mathis, C, Boyer, L. (1987): Bénard-von Kármán Instability— Transient and Forced Regimes. J. Fluid Mech. 182, 1–22.

    MATH  ADS  Google Scholar 

  • Raman, G., Cornelius, D. (1994): Jet Mixing Control Excitation from Miniature Oscillating Jets. AIAA J. 33, 365–368.

    ADS  Google Scholar 

  • Reeder, M.F., Samimy, M. (1996): The Evolution of a Jet with Vortex Generating Tabs—Real-Time Visualization and Quantitative Measurements. J. Fluid Mech. 311, 73–118.

    ADS  Google Scholar 

  • Reichert, A., Wendt, J. (1994): Improving S-Duct Performance by Secondary Flow Control. AIAA Paper No. 94-0365.

    Google Scholar 

  • Reisenthel, P.H., Nagib, H.M., Koga, D.J. (1985): Control of Separated Flows Using Forced Unsteadiness. AIAA Paper No. 85-0556.

    Google Scholar 

  • Rennie, R., Jumper, E. (1994): Experimental Measurements of Dynamic Control Surface Effectiveness. AIAA Paper No. 94-0504.

    Google Scholar 

  • Robinson, S. (1989): Review of Vortex Structures and Associated Coherent Motions in Turbulent Boundary Layers. 2nd IUTAM Symposium, Zurich, Switzerland.

    Google Scholar 

  • Rockwell, D., Knisely, C. (1980): Observations of the Three Dimensional Nature of Unstable Flow Past a Cavity. Phy. Fluids 23(3), 425–431.

    ADS  Google Scholar 

  • Rockwell, D., Naudascher, E. (1982): Self-Sustained Oscillations of Impinging Free-Shear Layers. Annu. Review Fluid. Mech. 11, 67–94.

    ADS  Google Scholar 

  • Ross, F.W., (1996): Microblowing for Vortex Asymmetry Management on a Hemispherical Cylinder Forebody. AIAA Paper No. 96-1951.

    Google Scholar 

  • Rossiter, J.E. (1966): Wind Tunnel Experiments in the Flow over Rectangular Cavities at Subsonic and Transonic Speeds. NACA R.M. No. 3438.

    Google Scholar 

  • Roussopoulos, K. (1993): Feedback Control of Vortex Shedding at Low Reynolds Numbers. J. Fluid Mech. 248, 267–296.

    ADS  Google Scholar 

  • Ruban, Duch (1996): AIAA Paper No. 96-2123.

    Google Scholar 

  • Samimy, M., Elliott, G. (1990): Effects of Compressibility on the Characteristics of the Free Shear Layer. AIAA J. 2813, 439–445.

    ADS  Google Scholar 

  • Schumm, M., Berger, E., Monkewitz, P.A. (1994): Self-Excited Oscillations in the Wake of Two-DimensionaL Bluff Bodies and their Control. J. Fluid Mech. 271, 17–54.

    ADS  Google Scholar 

  • Sebbani, M., Sunyach, M. (1992): Controle Actif des Instabilitis Lues aux Ecoulements—Exemple du Pompage des Systbmes de Compression. J. de Physique IV, Colloque CI, 615–618.

    Google Scholar 

  • Selby, G.V., Troeger, L.P. (1993): Passive and Active Control of Low-Speed Turbulent Separated Flow over Swept Backward-Facing Ramps. In FED Symposium on Separated Flows, vol. 149, pp. 27–41, ASME, New York.

    Google Scholar 

  • Sigurdson, L.W. (1995): The Structure and Control of a Turbulent Reattaching Flow. J. Fluid Mech. 298, 139–165.

    ADS  Google Scholar 

  • Silveira-Neto, A., Grand, D., Metáis, O., Lesieur, M. (1993): A Numerical Investigation of the Coherent Structures of Turbulence behind a Backward-Facing Step. J. Fluid Mech. 256, 1–55.

    MATH  ADS  Google Scholar 

  • Sinha, S.K., Pal, D. (1994): Controlling Unsteady Separation with Acoustic Active Surfaces. AIAA Paper No. 94-0183.

    Google Scholar 

  • Smagorinsky, J. (1963): General Circulation Experiments with the Primer Time Equation. Monthly Rev. 91, p. 99.

    Google Scholar 

  • Smith, B.C. (1996): Pneumatic Control of Vortices on Different F-16 Forebodies Using Jets and Slots. AIAA Paper No. 96-0049.

    Google Scholar 

  • Smite, P. (1993): After Failure in Supersonic. AIAA Paper No. 93-3248.

    Google Scholar 

  • Soh, W.Y. (1994): Unsteady Jet Flow Computation Towards Noise Prediction. AIAA Paper No. 94-0138.

    Google Scholar 

  • Sritharan, S.S. (1991): Dynamic Programming of the Navier-Stokes Equations. Systems & Control Letters. 16(4), 299–307.

    MATH  MathSciNet  Google Scholar 

  • Sunyach, M., Ffowcs Williams, J.E. (1986): Controle Actif des Oscillations dans les Cavitis Excities par un Icoulement. G. R. Acad. Sc. Paris 303, Sirie II, 1085–1088.

    ADS  Google Scholar 

  • Suprayank, K., Fiedler, H.E. (1994): Structural Control and Management in a Waterjet by Axial Excitation and Vortex Generators. Euromech Colloquium, no. 328.

    Google Scholar 

  • Sverdrop (1996): Unsteady Jet Flow Computation—Towards Noise Prediction. AIAA Aerospace Sciences Meeting 96.

    Google Scholar 

  • Swanson, P., Ottino, J. (1990): A Comparative Computational and Experimental Study of Chaotic Mixing of Viscous Fluids. J. Fluid Mech. 213, 227–249.

    ADS  MathSciNet  Google Scholar 

  • TA’Asan, S. (1994): Multigrid One Shot Methods for Optimal Control Problems— Infinite Dimensional Control. ICASE Report No. 52.

    Google Scholar 

  • TA’Asan, S. (1995): Trends in Aerodynamics Design and Optimization—A Mathematical Viewpoint. AIAA Conference Proceedings No. 95-1731-CP, pp. 961–970.

    Google Scholar 

  • Tarn, C, Burton, D. (1990): Jet Noise Generated by Large-Scale Coherent Motion. NASA R. Pub. 1258(1), 311–390.

    Google Scholar 

  • Tang, K.Y., Graham, W.R., Peraire, J. (1996): Active Flow Control Using a Reduced Order Model and Optimum Control. 27th AIAA Fluid Dynamics Conference, AIAA Paper No. 96-1946.

    Google Scholar 

  • Terent’ev (1996): AIAA Paper No. 96-1980.

    Google Scholar 

  • Truong, V.K. (1993): 19th Rotorcraft Eur. Forum, Cernobbio.

    Google Scholar 

  • Urbin, G., Metais, O. (1997): Large Eddy Simulations of Spatially-Evolving Round Jets—Vortex Control. Phys. Fluids.

    Google Scholar 

  • Villermaux, E., Hopfinger, E. (1994): Self-Sustained Oscillations of a Confined Jet— A Case Study for the Nonlinear Delayed Saturation Model. Physica D 72, 230–243.

    MATH  ADS  Google Scholar 

  • Viswanathan, P.R. (1994): A Fluid Acoustic Coupled Simulation of Supersonic Jet Noise. AIAA Paper 94-0137.

    Google Scholar 

  • Williams, D.R., Mans, H., Amato, C. W. (1992): The Response and Symmetry Properties of a Cylinder Wake Subject to Localized Surface Excitation. J. Fluid Mech. 234, 71–96.

    ADS  Google Scholar 

  • Witkowska, A., Juré, D. (1994): Numerical Estimation of Noise Generated by Homogeneous and Isotropic Turbulence. C. R. Ac. Sc. Paris 318, 597–602.

    Google Scholar 

  • Wood, A.C.R. (1995): Engine Integration. AGARD Conference Proceedings, no. 12.

    Google Scholar 

  • Wood, N.J., Roberts, L. (1986): Experimental Results of the Control of Vortical Flow by Tangential Blowing. Technical Report, Stanford University, California.

    Google Scholar 

  • Wood, N.J., Roberts, L. (1988): Control of Vortical Lift on Delta Wings by Tangential Leading-Edge Blowing. J. Aircraft 25, 236–243.

    Google Scholar 

  • Wu, X. (1996): AIAA Paper No. 96-2133.

    Google Scholar 

  • Wu, X.H., Wu, J.Z. (1991): Guiding Principles for Vortex Flow Control. 29th Aerospace Sciences Meeting, AIAA Paper No. 91-0617.

    Google Scholar 

  • Wurtzler, K. (1994): Numerical Analysis of a Chined Forebody with Asymmetric Slot Blowing. AIAA Paper No. 94-0171.

    Google Scholar 

  • Wygnanski, I. (1994): The Control of Separation by Oscillatory Blowing. Proceedings of Euromech Colloquium, no. 328.

    Google Scholar 

  • Wygnanski, I. (1996): The Control of Fluid Separation. ECCOMAS.

    Google Scholar 

  • Wygnanski, L, Seifert, A. (1994): The Control of Separation by Periodic Oscillations. AIAA Paper No. 94-2608.

    Google Scholar 

  • Yang, H., Gursul, I. (1996): Vortex Breakdown over Unsteady Delta Wing and its Control. AIAA J. 35(3), 571–574.

    ADS  Google Scholar 

  • Yang, J., Ghia, K.N., Ghia, U., Osswald, G.A. (1993): Management of Dynamic Stall Phenomenon Through Active Control of Unsteady Separation. AIAA Shear Flow Conference, AIAA Paper No. 93-3284.

    Google Scholar 

  • Zaman, K.B. (1994): Effect of Delta Tabs on Mixing and Axis Swelling. AIAA Paper No. 94-0186.

    Google Scholar 

  • Zaman, K.B., Hussain, A.K. (1980): Vortex Pairing in a Circular Jet under Controlled Excitation. Part 1. General Jet Response. J. Fluid Mech. 101, 449–491.

    ADS  Google Scholar 

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Perrier, P.C. (1998). Multiscale Active Flow Control. In: Gad-el-Hak, M., Pollard, A. (eds) Flow Control. Lecture Notes in Physics, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69672-5_5

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