Flow control: New challenges for a new Renaissance

Progress in Aerospace Sciences

Volumn 37, Issue 1, 2001, Pages 21-58

  Bewley, Thomas R ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FLUID MECHANICS; MATHEMATICAL MODELS; TURBULENCE;

CONTROL ALGORITHMS;

FLOW CONTROL;

EID: 0034825391     PISSN: 03760421     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0376-0421(00)00016-6     Document Type: Review

References (56)

1. Ho C-M, Tai Y-C. Review: MEMS and its applications for flow control. ASME J Fluid Engng 1996;118:437-47.
2. Ho C-M, Tai Y-C. Micro-electro-mechanical systems (MEMS) and fluid flows. Annu Rev Fluid Mech 1998;30:579-612.
3. McMichael JM. Progress and prospects for active flow control using microfabricated electro-mechanical systems. AIAA 96-0306, 1996.
4. Gad-El-Hak M. Modern developments in flow control. Appl Mech Rev 1996;49(7):365-79.
5. Löfdahl L, Gad-El-Hak M. MEMS applications in turbulence and flow control. Prog Aerosp Sci 1999;35:101-203.
6. Banks HT, editor. Control and estimation in distributed parameter systems. Frontiers in applied mathematics, vol. 11. Philadelphia, PA: SIAM, 1992.
7. Banks HT, Fabiano RH, Ito K, editors. Identification and control in systems governed by partial differential equations. Proceedings in Applied Mathematics, vol. 68. Philadelphia, PA: SIAM, 1993.
8. Gunzburger MD, editor. Flow control. The Institute for Mathematics and its Applications, vol. 68. Berlin: Springer, 1995.
9. Lagnese JE, Russell DL, White LW, editors. Control and optimal design of distributed parameter systems. The Institute for Mathematics and its Applications, vol. 70. Berlin: Springer, 1995.
10. Sritharan SS. Optimal control of viscous flows. Philadelphia, PA: SIAM, 1998.
11. Bewley TR, Agarwal R. Optimal and robust control of transition. Center for Turbulence Research, Proceedings of the Summer Program, 1996. p. 405-32.
12. Bewley TR, Liu S. Optimal and robust control and estimation of linear paths to transition. J Fluid Mech 1998;365:305-49.
13. Joshi SS, Speyer JL, Kim J. A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow. J Fluid Mech 1997;332:157-84.
14. Cortelezzi L, Speyer JL. Robust reduced-order controller of laminar boundary layer transitions. Phys Rev E 1998;58:1906-10.
15. ∞ control problems. IEEE Trans Automat Control 1989;34(8):831-47.
16. Green M, Limebeer DJN. Linear robust control. Englewood Cliffs, NJ: Prentice-Hall, 1995.
17. Zhou K, Doyle JC, Glover K. Robust and optimal control. Englewood Cliffs, NJ: Prentice-Hall, 1996.
18. Zhou K, Doyle JC. Essentials of robust control. Englewood Cliffs, NJ: Prentice-Hall, 1998.
19. Lauga E, Bewley TR. Robust control of linear global instability in models of non-parallel shear flows. 2000, in preparation.
20. Laub AJ. Invariant subspace methods for the numerical solution of Riccati equations. In: Bittaini, Laub, Willems, editors. The Riccati equation. Berlin: Springer, 1991, p. 163-96.
21. Skogestad S, Postlethwaite I. Multivariable feedback control. New York: Wiley, 1996.
22. Stein G, Athans M. The LQG/LTR procedure for multi-variable feedback control design. IEEE Trans Automat Control 1987;32(2):105.
23. Butler KM, Farrell BF. Three-dimensional optimal perturbations in viscous shear flows. Phys Fluids A 1992;4(8):1637-50.
24. Trefethen LN, Trefethen AE, Reddy SC, Driscoll TA. Hydrodynamic stability without eigenvalues. Science 1993;261(30):578.
25. Bamieh B, Paganini F, Dahleh M. Distributed control of spatially-invariant systems. IEEE Trans Automat Control 2000, submitted for publication.
26. D'Andrea R, Dullerud GE. Distributed control of Spatially Interconnected Systems. IEEE Trans Automat Control 2000, submitted for publication.
27. Högberg M, Bewley TR. Spatially-compact convolution kernels for decentralized control and estimation of transition in plane channel flow. Automatica 2000, submitted for publication.
28. Obinata G, Anderson BDO. Model reduction for control system design. 2000, in press.
29. Reddy SC, Schmid PJ, Baggett JS, Henningson DS. On stability of streamwise streaks and transition thresholds in plane channel flows. J Fluid Mech 1998;365:269-303.
30. Bewley TR, Moin P, Temam R. DNS-based predictive control of turbulence: an optimal target for feedback algorithms. J Fluid Mech 2000, submitted for publication.
31. Farrell BF, Ioannou PJ. Stochastic forcing of the linearized Navier-Stokes equation. Phys Fluids A 1993;5(11): 2600-9.
32. Hamilton JM, Kim J, Waleffe F. Regeneration mechanisms of near-wall turbulence structures. J Fluid Mech 1995;287:317-48.
33. Kim J, Lim J. A linear process in wall-bounded turbulent shear flows. Phys Fluids 2000;12(8):1885-8.
34. Bewley TR. Linear control and estimation of nonlinear chaotic convection: harnessing the butterfly effect. Phys Fluids 1999;11:1169-86.
35. Huerre P, Monkewitz PA. Local and global instabilities in spatially developing flows. Annu Rev Fluid Mech 1990;22:473-537.
36. Newborn M. Kasparov versus Deep Blue: computer chess comes of age. Berlin: Springer, 1997.
37. Atkinson GW. Chess and machine intuition. Norwood, NJ: Ablex, 1993.
38. Abergel F, Temam R. On some control problems in fluid mechanics. Theor Comput Fluid Dyn 1990;1:303-25.
39. Vainberg M. Variational methods for the study of nonlinear operators. San Francisco, CA: Holden-Day, 1964.
40. Press WH, Flannery BP, Teukolsky SA, Vetterling WT. Numerical Recipes. Cambridge, 1986.
41. Vanderplaats G. Numerical optimization techniques for engineering design. New York: McGraw-Hill, 1984.
42. Chang Y, Collis SS. Active control of turbulent channel flows based on large-eddy simulation. Proceedings of the Third ASME/JSME Joint Fluids Engineering Conference, FEDSM99-6929, July 18-23, San Francisco, 1999.
43. Vogel, Wade. Analysis of costate discretizations in parameter estimation for linear evolution equations. SIAM J Control Optim 1995;33:227-54.
44. Bewley TR, Temam R, Ziane M. A general framework for robust control in fluid mechanics. Physica D 2000;138:360-92.
45. Tachim Medjo T. Iterative methods for robust control problems. 2000, in preparation.
46. Reuther J, Jameson A, Farmer J, Martinelli L, Saunders D. Aerodynamic shape optimization of complex aircraft configurations via an adjoint formulation. AIAA 96-0094, 1996.
47. Lumley J, Blossey P. Control of turbulence. Annu Rev Fluid Mech 1998;30:311-27.
48. Holmes P, Lumley JL, Berkooz G. Turbulence, coherent structures, dynamical systems and symmetry. Cambridge, 1996.
49. Balogh A, Liu W-J, Krstić M. Stability enhancement by boundary control in 2D channel flow. IEEE Trans Automat Control 2000, submitted for publication.
50. Bošković DM, Krstić M. Global stabilization of a thermal convection loop. Automatica 2000, submitted for publication.
51. Koumoutsakos P, Freund J, Parekh. Evolution strategies for parameter optimization in controlled jet flows. Proceedings of the 1998 CTR Summer Program, Center for Turbulence Research, Stanford University/NASA Ames, 1998.
52. Rathnasingham R, Breuer KS. System identification and control of a turbulent boundary layer. Phys Fluids 1997;9(7):1867-9.
53. Nosenchuck DM. Electromagnetic turbulent boundary-layer control. Bull Am Phys Soc 1994;39(9):1938.
54. Koumoutsakos P. Vorticity flux control for a turbulent channel flow. Phys Fluids 1999;11(2):248-50.
55. Rose N, editor. Mathematical maxims and minims. Raleigh, NC: Rome Press Inc., 1998.
56. Simmons G. Calculus gems. New York: McGraw-Hill, 1992.