Closed-loop Lagrangian separation control in a bluff body shear flow model

Physics of Fluids

Volumn 15, Issue 8, 2003, Pages 2251-2266

  Wang, Yong ^a   Haller, George ^b   Banaszuk, Andrzej ^c   Tadmor, Gilead ^d  

^a PEKING UNIVERSITY   (China)

^b USA   (United States)

^c UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

^d NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMBUSTION; FREQUENCIES; RESONANCE; SEPARATION;

LAGRANGIAN COHERENT STRUCTURES;

SHEAR FLOW;

CLOSED LOOP CONTROL; LAGRANGIAN ANALYSIS; NAVIER-STOKES EQUATIONS; SEPARATION; SHEAR FLOW; TWO-DIMENSIONAL FLOW; VORTEX SHEDDING;

EID: 0041782631     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1588636     Document Type: Article

References (49)

1. C. Lee, J. Kim, D. Babcock, and R. Goodman, "Application of neural networks to turbulence control for drag reduction," Phys. Fluids 9, 1740 (1997).
2. P. Moin and T. R. Bewley, "Feedback control of turbulence," Appl. Mech. Rev. 47, S3 (1994).
3. T. R. Bewley, P. Moin, and R. Temam, "DNS-based predictive control of turbulence: An optimal benchmark for feedback algorithms," J. Fluid Mech. 447, 179 (2001).
4. T. R. Bewley, R. Temam, and M. Ziane, "A general framework for robust control in fluid mechanics," Physica D 138, 360 (2000).
5. S. S. Joshi, J. L. Speyer, and J. Kim, "A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow," J. Fluid Mech. 332, 157 (1997).
6. B. Bamieh, "The structure of optimal controllers of spatially invariant distributed parameter systems," in Proceedings of the 36th IEEE Conference on Decision and Control, San Diego, CA (1997 ).
7. T. R. Bewley and S. Liu, "Optimal and robust control and estimation of linear paths to transition," J. Fluid Mech. 365, 305 (1998).
8. L. Cortelezzi, J. L. Speyer, K. H. Lee, and J. Kim, "Robust reduced-order control of turbulent channel flows via distributed sensors and actuators," in Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL (1998).
9. A. Balogh, W.-J. Liu, and M. Krstić, "Stability enhancement by boundary control in 2D channel flow," IEEE Trans. Autom. Control 46, 1696 (2001).
10. O. M. Aamo, M. Krstić, and T. R. Bewley, "Fluid mixing by feedback in Poiseuille flow," in Proceedings of the American Control Conference (IEEE, New York, 2001).
11. H. Choi, P. Moin, and J. Kim, "Active turbulence control for drag reduction in wall-bounded flows," J. Fluid Mech. 262, 75 (1994 ).
12. P. Koumoutsakos, "Active control of vortex-wall interactions," Phys. Fluids 9, 3808 (1997).
13. L. R. Keefe, "A normal vorticity actuator for near-wall modification of turbulent shear flows," AIAA Paper 97-0547 (1997).
14. M. Gad-El-Hak, "Modern developments in flow control," Appl. Mech. Rev. 49, 365 (1996).
15. J. L. Lumley and P. N. Bloseey, "Control of turbulence," Annu. Rev. Fluid Mech. 30, 311 (1998).
16. B. D. Coller, P. Holmes, and J. L. Lumley, "Control of bursting in boundary layer models," Appl. Mech. Rev. 47, S139 (1994 ).
17. B. D. Coller, P. Holmes, and J. L. Lumley, "Control of noisy heteroclinic cycles," Physica D 72, 135 (1994).
18. J. Kadtke, A. Péntek, and G. Pedrizzetti, "Controlled capture of a continuous vorticity distribution," Phys. Lett. A 204, 108 (1995).
19. Á. Péntek, J. Kadtke, and Z. Toroczkai, "Stabilizing chaotic vortex trajectories: An example of high dimensional control," Phys. Lett. A 224, 85 (1996).
20. D. D' Allessandro, M. Dahleh, and I. Mezić, "Control of mixing in fluid flows: A maximum entropy approach," IEEE Trans. Autom. Control 44, 1852 (1999).
21. B. R. Noack, I. Mezić, and A. Banaszuk, "Controlling vortex motion and chaotic advection," in Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia (2000).
22. Á. Péntek and J. B. Kadtke, "Dynamical control for capturing vortices near bluff bodies," Phys. Rev. E 58, 1883 (1998).
23. J. Jacobs, E. Ott, T. Antonsen, and J. York, "Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps," Physica D 110, 1 (1997).
24. Z. Neufeld and T. Tél, "Advection in chaotically time dependent open flow," Phys. Rev. E 57, 2832 (1998).
25. G. Haller and G. Yuan, "Lagrangian coherent structures and mixing in two-dimensional turbulence," Physica D 147, 352 (2000).
26. C. K. R. T. Jones and S. Winkler, "Do invariant manifolds hold water?" in Handbook of Dynamical Systems III: Towards Applications, edited by B. Fiedler, G. Iooss, and N. Kopell (Springer, New York, 2002).
27. G. Haller, "Lagrangian structures and the rate of strain in two-dimensional turbulence," Phys. Fluids 13, 3365 (2001).
28. R. R. Clements, "An inviscid model of two-dimensional vortex shedding," J. Fluid Mech. 57, 321 (1973).
29. A. Roshko, "On the wake and drag of bluff bodies," J. Aerosp. Sci. 22, 124 (1955).
30. P. W. Bearman, "Investigation of the flow behind a two-dimensional model with a blunt trailing edge and fitted with splitter plates," J. Fluid Mech. 21, 241 (1965).
31. P. J. Strykowski and K. R. Sreenivasan, "On the formation and suppression of vortex shedding at low Reynolds numbers," J. Fluid Mech. 218, 71 (1990).
32. P. W. Bearman, "The effect of base bleed on the flow behind a two dimensional model with a blunt trailing edge," Aeronaut. Q. 18, 207 (1967).
33. G. H. Koopman, "The vortex wakes of vibrating cylinders at low Reynolds numbers," J. Fluid Mech. 28, 501 (1967).
34. R. D. Blevins, "The effect of sound on vortex shedding from cylinders," J. Fluid Mech. 161, 217 (1985).
35. P. T. Tokumaru and Dimotakis, "Rotary oscillation control of a cylinder wake," J. Fluid Mech. 224, 77 (1991).
36. D. R. Williams, H. Mansy, and C. Amato, "The response and symmetry properties of a cylinder wake subjected to localized surface excitation," J. Fluid Mech. 234, 71 (1992).
37. D. S. Park, D. M. Ladd, and E. W. Hendricks, "Feedback control of von Kármán vortex shedding behind a circular cylinder at low Reynolds numbers," Phys. Fluids 6, 2390 (1994).
38. M. Schumm, E. Berger, and P. A. Monkewitz, "Self-excited oscillations in the wake of two-dimensional bluff bodies and their control," J. Fluid Mech. 271, 17 (1994).
39. L. Cortelezzi, A. Leonard, and J. C. Doyle, "An example of active circulation control of the unsteady separated flow pass a semi-infinite plate," J. Fluid Mech. 260, 127 (1994).
40. L. Cortelezzi, "Nonlinear feedback control of the wake pass a plate with a suction point on the downstream wall," J. Fluid Mech. 327, 303 (1996).
41. L. Cortelezzi, Y.-C. Chen, and H.-L. Chang, "Nonlinear feedback control of the wake past a plate: From a low-order model to a higher order model," Phys. Fluids 9, 2009 (1997).
42. W. A. Coppel, Dichotomies in Stability Theory (Springer, New York, 1978).
43. G. Haller, "Finding finite-time invariant manifolds in two-dimensional velocity fields," Chaos 10, 99 (2000).
44. G. Haller, "Distinguished material surfaces and coherent structures in 3D fluid flows," Physica D 149, 248 (2001).
45. D. J. Tritton, Physical Fluid Mechanics (Oxford University Press, Oxford, 1988).
46. M. D. Salas, "Recent developments in transonic Euler flow over a circular cylinder," NASA TM 83282, April 1982 [Math. Comput. Simul. 25, 232 (1983)].
47. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
48. P. G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, 1992).
49. C. H. K. Williamson, "Vortex dynamics in the cylinder wake," Annu. Rev. Fluid Mech. 28, 477 (1996).