Nonlinear feedback control of the wake past a plate: From a low-order model to a higher-order model

Physics of Fluids

Volumn 9, Issue 7, 1997, Pages 2009-2022

  Cortelezzi, L ^a   Chen, Y C ^a   Chang, H L ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ESTIMATION; FEEDBACK; FEEDBACK CONTROL; MATHEMATICAL MODELS; PHASE SPACE METHODS; PLATES (STRUCTURAL COMPONENTS); TOPOLOGY; UNSTEADY FLOW; WAKES;

NONLINEAR FEEDBACK CONTROL; POINT VORTEX MODEL; TWO DIMENSIONAL FLOW; VORTEX BLOB MODEL;

NONLINEAR CONTROL SYSTEMS;

FLOW CONTROL; PLATES; WAKES;

EID: 0031194301     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869320     Document Type: Article

References (31)

1. M. D. Gunzburger, Flow Control (Springer-Verlag, New York, 1995).
2. D. M. Bushnell, "Longitudinal vortex control - techniques and applications - The 32nd Lanchester Lecture," Aeronaut. J. 96, 293 (1992).
3. M. Gad-el-Hak and D. M. Bushnell, "Separation control: Review," ASME J. Fluids Eng. 113, 5 (1991).
4. P. T. Tokumaru and P. E. Dimotakis, "Rotary oscillation control of a cylinder wake," J. Fluid Mech. 224, 77 (1991).
5. K. Roussopoulos, "Feedback control of vortex shedding at low Reynolds numbers," J. Fluid Mech. 248, 267 (1993).
6. M. M. Koochesfahani and P. E. Dimotakis, "A cancellation experiment in a forced turbulent shear layer," 1st National Fluid Dynamics Congress, 25-28 July 1988, Cincinnati, Ohio, AIAA Paper No. 88-3713-CP, 1988.
7. A. Ongoren and D. Rockwell, "Flow structure from an oscillating cylinder Part 1. Mechanisms of phase shift and recovery in the near wake," J. Fluid Mech. 191, 197 (1988).
8. A. Ongoren and D. Rockwell, "Flow structure from an oscillating cylinder Part 2. Mode competition in the near wake," J. Fluid Mech. 191, 225 (1988).
9. R. Gopalkrishnan, M. S. Triantafyllou, G. S. Triantafyllou, and D. Barrett, "Active vorticity control in a shear flow using a flapping foil," J. Fluid Mech. 274, 1 (1994).
10. V. J. Rossow, "Lift enhancement by an external trapped vortex," 10th Fluid and Plasma Dynamics Conference, 27-29 June 1977, Albuquerque, New Mexico, AIAA Paper No. 77-672, 1977.
11. J. F. Slomski and R. M. Coleman, "Numerical simulation of vortex generation and capture above an airfoil," 31st Aerospace Sciences Meeting and Exhibit, 11-14 January 1993, Reno, Nevada, AIAA Paper No. 93-864, 1993.
12. L. Cortelezzi, A. Leonard, and J. C. Doyle, "An example of active circulation control of the unsteady separated flow past a semi-infinite plate," J. Fluid Mech. 260, 127 (1994).
13. N-Z. Cao and N. Aubry, "Numerical simulation of a wake flow via a reduced system," FED-Vol. 149, Separated flows, ASME (1993).
14. M. Rajaee, S. K. F. Karlsson, and L. Sirovich, "Low-dimensional description of free-shear-flow coherent structures and their dynamical behavior," J. Fluid Mech. 258, 1 (1994).
15. L. Cortelezzi, "Nonlinear feedback control of the wake past a plate with a suction point on the downstream wall," J. Fluid Mech. 327, 303 (1996).
16. Y. Watanabe, "A classical theory of the collective description," Prog. Theor. Phys. 16, 1 (1956).
17. C. E. Brown and W. H. Michael, "Effect of leading-edge separation on the lift of a delta wing," J. Aerosp. Sci. 21, 690 (1954).
18. N. Rott, "Diffraction of a weak shock with vortex generation," J. Fluid Mech. 1, 111 (1956).
19. L. Cortelezzi and A. Leonard, "Point vortex model for the unsteady separated flow past a semi-infinite plate with transverse motion," Fluid Dyn. Res. 11, 263 (1993).
20. T. Sarpkaya, "An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate," J. Fluid Mech. 68, 109 (1975).
21. M. Kiya and M. Arie, "A contribution to an inviscid vortex-shedding model for an inclined flat plate in uniform flow," J. Fluid Mech. 82, 223 (1977).
22. R. Chein and J. N. Chung, "Discrete-vortex simulation of flow over inclined and normal plates," Comput. Fluids 16, 405 (1988).
23. R. Krasny, "Vortex sheet computations: Roll-up, wakes, separation," Lect. Appl. Math. 28, 385 (1991).
24. D. L. Lisoski, "Nominally 2-dimensional flow about a normal flat plate," Ph.D. thesis, California Institute of Technology, 1993.
25. A. J. Chorin, "Numerical study of slightly viscous flows," J. Fluid Mech. 57, 785 (1973).
26. T. Sarpkaya, "Computational methods with vortices-The 1988 Freeman Scholar Lecture," ASME J. Fluid Eng. 111, 5 (1989).
27. T. Sarpkaya, "Vortex element methods for flow simulation," Adv. Appl. Mech. 31, 113 (1994).
28. O. H. Hald, "Convergence of vortex methods for Euler equations. II," Siam J. Num. Anal. 16, 726 (1979).
29. D. M. Rao, "Vortical flow management techniques," Prog. Aero. Sci. 24, 173 (1987).
30. L. Cortelezzi, "A theoretical and numerical study on active wake control," Ph.D. thesis, California Institute of Technology, 1993.
31. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer-Verlag, New York, 1983).