Suboptimal feedback control of vortex shedding at low Reynolds numbers

Journal of Fluid Mechanics

Volumn 401, Issue , 1999, Pages 123-156

  Min, Chulhong ^a   Choi, Haecheon ^a,b  

^a Seoul National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001132128     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209900659X     Document Type: Article

References (45)

1. ABERGEL, F. & TEMAM, R. 1990 On some control problems in fluid mechanics. Theor. Comput. Fluid Dyn. 1, 303.
2. 4: Part 2. J. Fluid Mech. 71, 145.
3. 4. J. Fluid Mech. 61, 187.
4. BEARMAN, P. W. 1967 The effect of base bleed on the flow behind a two-dimensional model with a blunt trailing edge. Aero. Q. 18, 207.
5. CHOI, H. 1998 Suboptimal feedback control of vortex shedding. 13th US National Congress of Applied Mechanics, Gainesville, Florida, June 1998.
6. CHOI, H., MOIN, P. & KIM, J. 1992 Turbulent drag reduction: Studies of feedback control & flow over riblets. Rep. TF-55. Department of Mechanical Engineering, Stanford University, Stanford, CA.
7. CHOI, H., MOIN, P. & KIM, J. 1993a Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 255, 503.
8. CHOI, H., TEMAM, R., MOIN, P. & KIM, J. 1993b Feedback control for unsteady flow and its application to the stochastic Burgers equation. J. Fluid Mech. 253, 509.
9. CIMBALA, J. M. & GARG, S. 1991 Flow in the wake of a freely rotatable cylinder with splitter plate. AIAA J. 29, 1001.
10. FINLAYSON, B. A. 1972 The Method of Weighted Residuals and Variational Principles. Academic.
11. FORNBERG, B. 1980 A numerical study of steady viscous flow past a circular cylinder. J. Fluid Mech. 98, 819.
12. GASTER, M. 1969 Vortex shedding from slender cones at low Reynolds numbers. J. Fluid Mech. 38, 565.
13. GASTER, M. 1971 Vortex shedding from circular cylinders at low Reynolds numbers. J. Fluid Mech. 46, 749.
14. GERICH, D. & ECKELMANN, H. 1982 Influence of end plates and free ends on the shedding frequency of circular cylinders. J. Fluid Mech. 122, 109.
15. GERRARD, J. H. 1966 The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25, 401.
16. GUNZBURGER, M. D., Hou, L. & SVOBONDY, T. P. 1990 A numerical method for drag minimization via the suction and injection of mass through the boundary. In Stabilization of Flexible Structures (ed. J. P. Zolesio). Springer.
17. GUNZBURGER, M. D., Hou, L. & SVOBONDY, T. P. 1991 Analysis and finite element approximations of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls. Math. Model. Numer. Anal. 25, 711.
18. GUNZBURGER, M. D., HOU, L. & SVOBONDY, T. P. 1992 Boundary velocity control of incompressible flow with an application to viscous drag reduction. SIAM J. Control Optim. 30, 167.
19. HENDERSON, R. D. 1995 Details of the drag curve near the onset of vortex shedding. Phys. Fluids 7, 2102.
20. HENDERSON, R. D. 1997 Nonlinear dynamics and pattern formation in turbulent wake transition. J. Fluid Mech. 352, 65-112.
21. HILDEBRAND, F. B. 1976 Advanced Calculus for Applications, 2nd Edn. Prentice-Hall.
22. KWON, K. & CHOI, H. 1996 Control of laminar vortex shedding behind a circular cylinder using splitter plates. Phys. Fluids 8, 479.
23. LEE, C., KIM, J. & CHOI, H. 1998 Suboptimal control of turbulent channel flow for drag reduction. J. Fluid Mech. 358, 245.
24. NISHIOKA, M. & SATO, H. 1974 Measurements of velocity distributions in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 65, 97.
25. OERTEL, H. 1990 Wakes behind blunt bodies. Ann. Rev. Fluid Mech. 22, 539.
26. PANTON, R. L. 1996 Incompressible Flow, 2nd Edn. John Wiley & Sons.
27. PARK, D. S., LADD, D. M. & HENDRICKS, E. W. 1994 Feedback control of von Kármán vortex shedding behind a circular cylinder at low Reynolds numbers. Phys. Fluids 6, 2390.
28. PAULEY, L. L., MOIN, P. & REYNOLDS, W. C. 1990 The structure of two-dimensional separation. J. Fluid Mech. 220, 397.
29. ROSENFELD, M., KWAK, D. & VINOKUR, M. 1991 A fractional step solution method for the unsteady incompressible Navier-Stokes equations in generalized coordinate systems. J. Comput. Phys. 94, 102.
30. ROSHKO, A. 1955 On the wake and drag of bluff bodies. J. Aeronaut. Sci. 22, 124.
31. ROUSSOPOULOS, K. 1993 Feedback control of vortex shedding at low Reynolds numbers. J. Fluid Mech. 248, 267.
32. SATAKE, S. & KASAGI, N. 1997 Suboptimal turbulence control with the body force of selective velocity damping localized to the near-wall region. Proc. 11th Symp. Turbulent Shear Flows, vol. 1, pp. P1.43-P1.48. Grenoble, September 1997.
33. 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.
34. SHAIR, F. H., GROVE, A. S., PETERSEN, E. E. & ACRIVOS, A. 1963 The effect of confining walls on the stability of the steady wake behind a circular cylinder. J. Fluid Mech. 17, 547.
35. STANSBY, P. K. 1974 The effects of end plates on the base pressure coefficient of a circular cylinder. Aerosp. J. 78, 36.
36. STRYKOWSKI, P. J. & SREENIVASAN, K. R. 1990 On the formation and suppression of vortex 'shedding' at low Reynolds numbers. J. Fluid Mech. 218, 71.
37. TEMAM, R., BEWLEY, T. & MOIN, P. 1997 Control of turbulent flows. Proc. 18th IFIP TC7 Conf. on System Modelling and Optimization, Detroit, Michigan, July 1997.
38. THOMPSON, J. F., WARSI, Z. U. A. & MASTIN, C. W. 1985 Numerical Grid Generation-Foundations and Application. Elsevier.
39. TOKUMARU, P. T. & DIMOTAKIS, P. E. 1991 Rotary oscillatory control of a cylinder wake. J. Fluid Mech. 224, 77.
40. TRITTON, D. J. 1987 Physical Fluid Dynamics, 2nd Edn. Oxford Science Publications.
41. UNAL, M. F. & ROCKWELL, D. 1988 On vortex formation from a cylinder. Part 2. Control by splitter-plate interference. J. Fluid Mech. 190, 513.
42. WILLIAMSON, C. H. K. 1988 The existence of two stages in the transition to three dimensionality of a cylinder wake. Phys. Fluids 31, 3165.
43. WILLIAMSON, C. H. K. 1989 Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 206, 579.
44. WILLIAMSON, C. H. K. 1996 Vortex dynamics in the cylinder wake. Ann. Rev. Fluid Mech. 28, 477.
45. WOOD, C. J. 1964 The effect of base bleed on a periodic wake. J. R. Aeronaut. Soc. 68, 477.