Linear feedback control and estimation applied to instabilities in spatially developing boundary layers

Journal of Fluid Mechanics

Volumn 588, Issue , 2007, Pages 163-187

  Chevalier, Mattias ^a,b   Hépffner, Jérôme ^b   Åkervik, Espen ^b   Henningson, Dan S ^a,b  

^a SWEDISH DEFENCE RESEARCH AGENCY   (Sweden)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FEEDBACK CONTROL; FLOW CONTROL; LINEAR CONTROL SYSTEMS; PERTURBATION TECHNIQUES; SKIN FRICTION; STOCHASTIC MODELS; WALL FLOW;

FLOW PERTURBATIONS; LINEAR FEEDBACK CONTROL;

BOUNDARY LAYERS;

BOUNDARY LAYERS; COMPUTATIONAL METHODS; FEEDBACK CONTROL; FLOW CONTROL; LINEAR CONTROL SYSTEMS; PERTURBATION TECHNIQUES; SKIN FRICTION; STOCHASTIC MODELS; WALL FLOW;

BASEFLOW; BOUNDARY LAYER; ESTIMATION METHOD; FEEDBACK MECHANISM; FLOW FIELD; KINETIC ENERGY; PERTURBATION;

EID: 37749017590     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007007392     Document Type: Article

References (28)

1. ANDERSSON, P., BERGGREN, M. & HENNINGSON, D. S. 1999 Optimal disturbances and bypass transition in boundary layers. Phys. Fluids 11, 134-150.
2. ANDERSSON, P., BRANDT, L., BOTTARO, A. & HENNINGSON, D. S. 2000 On the breakdown of boundary layer streaks. J. Fluid Mech. 428, 29-60.
3. BERTOLOTTI, F. P., HERBERT, T. & SPALART, P. R. 1992 Linear and nonlinear stability of the Blasius boundary layer. J. Fluid Mech. 242, 441-474.
4. BEWLEY, T. R. 2001 Flow control: New challenges for a new Renaissance. Prog. Aerospace Sci. 37, 21-58.
5. BEWLEY, T. R. & LIU, S. 1998 Optimal and robust control and estimation of linear paths to transition. J. Fluid Mech. 365 305-349.
6. BUTLER, K. M. & FARRELL, B. F. 1992 Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A 4, 1637-1650.
7. CATHALIFAUD, P. & LUCHINI, P. 2000 Algebraic growth in boundary layers: Optimal control by blowing and suction at the wall. Eur. J. Mech. B - Fluids 19, 469-490.
8. CHEVALIER, M., HŒPFFNER, J., BEWLEY, T. R. & HENNINGSON, D. S. 2006 State estimation of wall bounded flow systems. Part 2. Turbulent flows. J. Fluid Mech. 552, 167-187.
9. COOKE, J. C. 1950 The boundary layer of a class of infinite yawed cylinders. Proc. Camb. Phil. Soc. 46, 645-648.
10. HERBERT, T. 1997 Parabolized stability equations. Annu. Rev. Fluid Mech. 29, 245-283.
11. HŒPFFNER, J., CHEVALIER, M., BEWLEY, T. R. & HENNINGSON, D. S. 2005 State estimation in wall-bounded flow systems. Part 1. Laminar flows. J. Fluid Mech. 534, 263 294.
12. HÖGBERG, M., BEWLEY, T. R. & HENNINGSON, D. S. 2003a Linear feedback control and estimation of transition in plane channel flow. J. Fluid Mech. 481, 149-175.
13. HÖGBERG, M., BEWLEY, T. R. & HENNINGSON, D. S. 2003b Relaminarization of Reτ = 100 turbulence using gain scheduling and linear state-feedback control. Phys. Fluids 15, 3572-3575.
14. HÖGBERG, M., CHEVALIER, M. & HENNINGSON, D. S. 2003c Linear compensator control of a pointsource induced perturbation in a Falkner-Skan-Cooke boundary layer. Phys. Fluids 15, 2449-2452.
15. HÖGBERG, M. & HENNINGSON, D. S. 1998 Secondary instability of cross-flow vortices in Falkner-Skan-Cooke boundary layers. J. Fluid Mech. 368, 339-357.
16. HÖGBERG, M. & HENNINGSON, D. S. 2002 Linear optimal control applied to instabilities in spatially developing boundary layers. J. Fluid Mech. 470, 151-179.
17. KIM, J. 2003 Control of turbulent boundary layers. Phys. Fluids 15, 1093-1105.
18. LEVIN, O. 2003 Stability analysis and transition prediction of wall-bounded flows. Licentiate thesis, Royal Institute of Technology, Stockholm.
19. LEWIS, F. L. & SYRMOS, V. L. 1995 Optimal Control. Wiley-Interscience.
20. LUCHINI, P. 2000 Reynolds-number-independent instability of the boundary layer over a flat surface: Optimal perturbations. J. Fluid Mech. 404, 289-309.
21. LUNDBLADH A., BERLIN, S., SKOTE, M., HILDINGS, C., CHOI, J., Kim, J. & HENNINGSON, D. S. 1999 An efficient spectral method for simulations of incompressible flow over a flat plate. Tech. Rep. TRITA-MEK 1999:11. Department of Mechanics, Royal Institute of Technology, KTH.
22. LUNDBLADH A., HENNINGSON, D. S. & JOHANSSON, A. 1992 An efficient spectral integration method for the solution of the Navier-Stokes equations. Tech. Rep. FFA TN 1992-28. The Aeronautical Research Institute of Sweden, FFA.
23. MALIK, M. R., ZANG, T. A. & HUSSAINI, M. Y. 1985 A spectral collocation method for the Navier-Stokes equations. J. Comput. Phys. 61, 64-88.
24. MÜLLER, B. & BIPPES, H. 1988 Experimental study of instability modes in a three-dimensional boundary layer. AGARD-CP 438, 18.
25. NORDSTRÖM, J., NORDIN, N. & HENNINGSON, D. S. 1999 The fringe region technique and the Fourier method used in the direct numerical simulation of spatially evolving viscous flows. SIAM J. Sci. Comput. 20, 1365-1393.
26. SCHLICHTING, H. 1979 Boundary-Layer Theory, 7th edn. Springer.
27. SCHMID, P. J. & HENNINGSON, D. S. 2001 Stability and Transition in Shear Flows. Applied Mathematical Sciences, vol. 142. Springer.
28. YOSHINO, T., SUZUKI, Y. & KASAGI, N. 2003 Evaluation of GA-based feedback control system for drag reduction in wall turbulence. In Proc. 3rd Intl Symp. on Turbulence and Shear Flow Phenomena, pp. 179-184.