DNS and LES of estimation and control of transition in boundary layers subject to free-stream turbulence

International Journal of Heat and Fluid Flow

Volumn 29, Issue 3, 2008, Pages 841-855

  Monokrousos, Antonios ^a   Brandt, Luca ^a   Schlatter, Philipp ^a   Henningson, Dan S ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Boundary layer; Bypass transition; Direct numerical simulation (DNS); Large eddy simulation (LES); Optimal control; State estimation

Indexed keywords

DIRECT NUMERICAL SIMULATION; FEEDBACK CONTROL; FLOW FIELDS; LARGE EDDY SIMULATION; OPTIMAL CONTROL SYSTEMS; STATE ESTIMATION; TURBULENT FLOW;

BYPASS TRANSITION; FREE-STREAM TURBULENCE; TRANSITIONAL FLOWS;

BOUNDARY LAYER FLOW;

BOUNDARY LAYER FLOW; DIRECT NUMERICAL SIMULATION; FEEDBACK CONTROL; FLOW FIELDS; LARGE EDDY SIMULATION; OPTIMAL CONTROL SYSTEMS; STATE ESTIMATION; TURBULENT FLOW;

EID: 43949103375     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatfluidflow.2008.03.009     Document Type: Article

References (60)

1. Åkervik E., Hoepffner J., Ehrenstein U., and Henningson D.S. Optimal growth, model reduction and control in a separated boundary-layer flow using global modes. J. Fluid Mech. 579 (2007) 305-314
2. Andersson P., Berggren M., and Henningson D.S. Optimal disturbances and bypass transition in boundary layers. Phys. Fluids 11 (1999) 134-150
3. Bagheri, S., Hoepffner, J., Schmid, P.J., Henningson, D.S., in press. Input-output analysis and control design applied to a linear model of spatially developing flows. Appl. Mech. Rev.
4. Barri, M., 2006. Optimal control of bypass transition in boundary layers. Master's Thesis, KTH Mechanics, Stockholm, Sweden.
5. Berggren M. Numerical solution of a flow-control problem: vorticity reduction by dynamic boundary action. SIAM J. Sci. Comp. 19 3 (1998) 829-860
6. Bewley T., Temam R., and Ziane M. A general framework for robust control in fluid mechanics. Physica D 138 (2000) 360-392
7. Bewley T.R. Flow control: new challenges for a new renaissance. Prog. Aerosp. Sci. 37 (2001) 21-58
8. Bewley T.R., Moin P., and Teman R. DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms. J. Fluid Mech. 447 (2001) 179-225
9. Bewley T.R., and Protas B. Skin friction and pressure: the 'footprints' of turbulence. Physica D 196 (2004) 28-44
10. Brandt L. Numerical studies of the instability and breakdown of a boundary-layer low-speed streak. Eur. J. Mech./B Fluids 26 1 (2007) 64-82
11. Brandt L., and Henningson D.S. Transition of streamwise streaks in zero-pressure-gradient boundary layers. J. Fluid Mech. 472 (2002) 229-262
12. Brandt, L., Henningson, D.S., 2004. Linear feedback control of perturbations developing in a boundary layer under free-stream turbulence. In: Andersson, H.I., Krogstad, P.A. (Eds.), Advances in Turbulence X, Proceedings of the 10th European Turbulence Conference, CIMNE, pp. 767-770.
13. Brandt L., Schlatter P., and Henningson D.S. Transition in boundary layers subject to free-stream turbulence. J. Fluid Mech. 517 (2004) 167-198
14. Chevalier M., Hoepffner J., Åkervik E., and Henningson D.S. Linear feedback control and estimation applied to instabilities in spatially developing boundary layers. J. Fluid Mech. 588 (2007) 163-187 167-187
15. Chevalier M., Hoepffner J., Bewley T.R., and Henningson D.S. State estimation in wall-bounded flow systems. Part 2. Turbulent flows. J. Fluid Mech. 552 (2006) 167-187
16. Chevalier, M., Schlatter, P., Lundbladh, A., Henningson, D.S., 2007b. Simson: A pseudo-spectral solver for incompressible boundary layer flows. Technical Report KTH/MEK/TR-07/07-SE, KTH, Department of Mechanics, Stockholm.
17. Collis, S., Chang, Y., Kellogg, S., Prabhu, R.D., 2000. Large eddy simulation and turbulence control. AIAA Paper (2000-2564).
18. Farrell B.F., and Ioannou P.J. Turbulence suspension by active control. Phys. Fluids 8 5 (1996) 1257-1268
19. Friedland B. Control System Design: An Introduction to State-space Methods (1986), Dover, Mineola, New York
20. Grosch C.E., and Salwen H. The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions. J. Fluid Mech. 87 (1978) 33-54
21. Henningson D.S. Comment on: Transition in shear flows. Nonlinear normality versus non-normal linearity. Phys. Fluid 8 8 (1996) 2257-2258 (Phys. Fluids 7 (1995) 3060)
22. Hoepffner J., Chevalier M., Bewley T.R., and Henningson D.S. State estimation in wall-bounded flow systems. Part 1. Perturbed laminar flows. J. Fluid Mech. 534 (2005) 263-294
23. τ = 100 turbulence using gain scheduling and linear state-feedback control. Phys. Fluids 15 (2003) 3572-3575
24. Högberg M., Bewley M., and Henningson D.S. Linear feedback control and estimation of transition in plane channel flow. J. Fluid Mech. 481 (2003) 149-175
25. Högberg M., Chevalier M., and Henningson D.S. Linear compensator control of a pointsource induced perturbation in a Falkner-Skan-Cooke boundary layer. Phys. Fluids 15 (2003) 2449-2452
26. Högberg M., and Henningson D.S. Linear optimal control applied to instabilities in spatially developing boundary layers. J. Fluid Mech. 470 (2002) 151-179
27. Jacobs R.G., and Durbin P.A. Simulations of bypass transition. J. Fluid Mech. 428 (2001) 185-212
28. Joshi, S.S., Speyer, J.L., Kim, J., 1995. Modeling and control of two dimensional Poisuille flow. In: Proceedings of the 34th IEEE Conference on Decision and Control, pp. 921-927.
29. Joslin R.D. Aircraft laminar flow control. Annu. Rev. Fluid Mech. 30 (1998) 1-29
30. Joslin R.D., Erlebacher G., and Hussaini M.Y. Active control of instabilities in laminar boundary layers-overview and concept validation. J. Fluids Eng. 118 3 (1996) 494-497
31. Joslin R.D., Gunzburger M.D., and Nicolaides R.A. A self-contained automated methodology for optimal flow. AIAA J. 35 5 (1997) 816-824
32. Kailath T., and Hassibi A.H.S.B. Linear Estimation (2000), Prentice Hall, New Jersey
33. Karamanos G.-S., and Karniadakis G.E. A spectral vanishing viscosity method for large-eddy simulations. J. Comput. Phys. 163 (2000) 22-50
34. Kim J., and Bewley T.R. A linear systems approach to flow control. Annu. Rev. Fluid Mech. 38 1 (2007) 383-417
35. Kim J., and Lim J. A linear process in wall-bounded turbulent shear flows. Phys. Fluids 12 8 (2000) 1885-1888
36. Landahl M.T. A note on an algebraic instability of inviscid parallel shear flows. J. Fluid Mech. 98 (1980) 243-251
37. Laurien E., and Kleiser L. Numerical simulation of boundary-layer transition and transition control. J. Fluid Mech. 199 (1989) 403-440
38. Lewis F.L., and Syrmos V.L. Optimal Control (1995), Wiley-Interscience, New York
39. Lundbladh, A., Berlin, S., Skote, M., Hildings, C., Choi, J., Kim, J., Henningson, D.S., 1999. An efficient spectral method for simulation of incompressible flow over a flat plate. Technical Report KTH/MEK/TR-99/11-SE, KTH, Department of Mechanics, Stockholm.
40. Lundell F. Reactive control of transition induced by free-stream turbulence: an experimental demonstration. J. Fluid Mech. 585 (2007) 41-71
41. Mans J., de Lange H.C., and van Steenhoven A.A. Sinuous breakdown in a flat plate boundary layer exposed to free-stream turbulence. Phys. Fluids 19 088101 (2007)
42. Matsubara M., and Alfredsson P.H. Disturbance growth in boundary layers subjected to free stream turbulence. J. Fluid. Mech. 430 (2001) 149-168
43. Metcalfe R.W. Boundary layer control: a brief review. In: Wagner S., Periaux J., and Hirschel E. (Eds). Computational Fluid Dynamics'94, Invited lectures of the Second European CFD Conference; Stuttgart, Germany. Progress in Astronautics and Aeronautics (1994), John Wiley & Sons 52-60
44. Moin P., and Bewley T. Feedback control of turbulence. Appl. Mech. 47 6 (1994) S3-S13 (Part 2)
45. Moin P., and Mahesh K. Numerical simulation: a tool in turbulence research. Annu. Rev. Fluid Mech. 30 (1998) 539-578
46. Nordström J., Nordin N., and Henningson D.S. The fringe region technique and the Fourier method used in the direct numerical simulation of spatially evolving viscous flows. SIAM J. Sci. Comp. 20 (1999) 1365-1393
47. Reddy S.C., and Henningson D.S. Energy growth in viscous channel flows. J. Fluid Mech. 252 (1993) 209-238
48. Robinson, S.K., 1991. The kinematics of turbulent boundary layer structure. Technical Report TM 103859, NASA.
49. Rowley C.W. Model reduction for fluids using balanced proper orthogonal decomposition. Int. J. Bifurc. Chaos 15 3 (2005) 997-1013
50. Schlatter P., Stolz S., and Kleiser L. LES of transitional flows using the approximate deconvolution model. J. Heat Fluid Flow 25 3 (2004) 549-558
51. Schlatter P., Stolz S., and Kleiser L. Analysis of the SGS energy budget for deconvolution- and relaxation-based models in channel flow. In: Lamballais E., Friedrich R., Geurts B.J., and Métais O. (Eds). Direct and Large-Eddy Simulation VI (2006), Springer, Dordrecht, The Netherlands 135-142
52. Schlatter P., Stolz S., and Kleiser L. LES of spatial transition in plane channel flow. J. Turbul. 7 33 (2006) 1-24
53. Schmid P.J., and Henningson D.S. Stability and Transition in Shear Flows (2001), Springer, New York
54. Seyed, M.M., 2007. Estimation and control of bypass transition in the Blasius boundary layer. Master's Thesis, KTH Mechanics, Stockholm, Sweden.
55. Skogestad S., and Postlethwaite I. Multivariable Feedback Control. second ed. Analysis and Design (2005), Wiley, West Sussex
56. Stolz S., and Adams N.A. An approximate deconvolution procedure for large-eddy simulation. Phys. Fluids 11 7 (1999) 1699-1701
57. Stolz S., Adams N.A., and Kleiser L. An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows. Phys. Fluids 13 4 (2001) 997-1015
58. Thomas A.S.W. The control of boundary-layer transition using a wave-superposition principle. J. Fluid Mech. 137 Dec. (1983) 233-250
59. Thomas A.S.W. Active wave control of boundary-layer transition. In: Bushnell D.M., and Hefner J.N. (Eds). Viscous Drag Reduction in Boundary Layers. Progress in Astronautics and Aeronautics vol. 123 (1990), American Institute of Aeronautics and Astronautics, Washington, DC
60. Westin K.J.A., Bakchinov A.A., Kozlov V.V., and Alfredsson P.H. Experiments on localized disturbances in a flat plate boundary layer. Part 1: the receptivity and evolution of a localized free stream disturbance. Eur. J. Mech. B Fluids 17 (1998) 823-846