Linear and nonlinear optimal control in spatial boundary layers

3rd Theoretical Fluid Mechanics Meeting

Volumn , Issue , 2002, Pages

  Chevalier, M ^a   Hogberg M ^a   Berggren, M ^a,b   Henningson, D S ^a,c  

^a SWEDISH DEFENCE RESEARCH AGENCY   (Sweden)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c Department of Mechanics ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; CONTROL NONLINEARITIES; CONTROLLERS; FLUID MECHANICS; NONLINEAR OPTICS; OPTIMAL CONTROL SYSTEMS; RICCATI EQUATIONS; VORTEX FLOW;

BLASIUS BOUNDARY LAYER; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; NON-LINEAR OPTIMAL CONTROL; OPTIMAL CONTROL PROBLEM; QUASI-NEWTON OPTIMIZATION; SPATIAL BOUNDARY LAYERS; THREE-DIMENSIONAL BOUNDARY LAYERS; TOLLMIEN-SCHLICHTING WAVES;

NAVIER STOKES EQUATIONS;

EID: 85088343718     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2002-2755     Document Type: Conference Paper

References (32)

1. Thomas, A. S. W., "Active wave control of boundarylayer transition," Viscous Drag Reduction in Boundary Layers, edited by D. M. Bushnell and J. N. Hefner, Vol. 123 of Progress in Astronautics and Aeronautics, American Institute of Aeronautics and Astronautics, Washington, D.C, 1990.
2. Metcalfe, R. W., "Boundary Layer Control: A brief review," Computational Fluid Dynamics'94, Invited Lectures of the Second European CFD Conference, edited by S. Wagner, J. Periaux, and E. Hirschel, John Wiley & Sons, Stuttgart, Germany, 1994, pp. 52-60.
3. Jameson, A., "Computational Aerodynamics for Aircraft Design." Science, Vol. 245, 1989, pp. 361-371.
4. Berggren, M.,Optimal Control of Time Controllability Investigations and Numerical Algorithms, Ph.D. thesis, Department of Computational and Applied Mathematics, Houston, Tx 77251-1892, 1995.
5. Joslin, R. D., Gunzburger, M. D., Nicolaides, R. A., Erlebacher, G., and Hussaini, M. Y., "A Self-contained, Automated Methodology for Optimal Flow Control Validated for Transition Delay," AIAA Journal, Vol. 35, No. 5, 1997, pp. 816- 824.
6. Bewley, T. R., Moin, P., and Temam, R., "DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms," J. Fluid Mech., Vol. 447, 2001, pp. 179-225.
7. Joshi, S. S., Speyer, J. L., and Kim, J., "A Systems Theory Approach to the Feedback Stabilization of Infinitesimal and Finite-amplitude Disturbances in Plane Poiseuille Flow," J. Fluid Mech., Vol. 332, 1997, pp. 157-184.
8. Bewley, T. R. and Liu, S., "Optimal and Robust Control and Estimation of Linear Paths to Transition." J. Fluid Mech., Vol. 365, 1998, pp. 305-349.
9. Högberg, M. and Bewley, T. R., "Spatially-localized convolution kernels for decentralized control and estimation of transition of plane channel flow," Automatica, 2001, Submitted.
10. Högberg, M. and Henningson, D. S., "Linear optimal control applied to instabilities in spatial boundary layers." J. Fluid Mech., 2001, Submitted.
11. Högberg, M., Chevalier, M., Berggren, M., and Henningson, D. S., "Optimal control of wall bounded flows," Scientific Report FOI-R--0182--SE, Computational Aerodynamics Department, Aeronautics Division, FOI, Oct. 2001.
12. Reddy, S. C., Schmid, P. J., Baggett, J. S., and Henningson, D. S., "On stability of streamwise streaks and transition thresholds in plane channel flows." J. Fluid Mech., Vol. 365, 1998, pp. 269-303.
13. Kim, J. and Lim, J., "A linear process in wall-bounded turbulent shear flows," Phys. Fluids, Vol. 12, No. 8, 2000, pp. 1885-1888.
14. Lundbladh, A., Berlin, S., Skote, M., Hildings, C., Choi, J., Kim, J., and Henningson, D. S., "An Efficient Spectral Method for Simulations of Incompressible Flow over a Flat Plate," Technical Report TRITA-MEK 1999:11, Royal Institute of Technology, Department of Mechanics, KTH, 1999.
15. 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., Vol. 20, No. 4, 1999, pp. 1365-1393.
16. Glowinski, R. and He, J., "On Shape Optimization and Related Issues," Computational Methods for Optimal Design and Control, edited by J. Borggaard, J. Burns, E. Cliff, and S. Schreck, Birkhäuser, Boston, 1998, pp. 151-179.
17. Gunzburger, M. D., editor, Flow Control, Springer-Verlag, 1995.
18. Högberg, M. and Berggren, M., "Numerical Investigation of Different Discretization Approaches for Optimal Control," Flow, Turbulence and Combustion, Vol. 65, No. 3/4, 2000, pp. 299- 320.
19. Berggren, M., "Numerical solution of a flow-control problem: vorticity reduction by dynamic boundary action," SIAM J. Sci. Comp., Vol. 19, No. 3, 1998, pp. 829-860.
20. Schmid, P. J. and Henningson, D. S., Stability and transition in shear flows, Springer-Verlag, 2001.
21. Ito, K. and Morris, K. A., "An Approximative Theory of Solutions to Operator Riccati Equations for H∞ Control," SIAM J. Control Optim., Vol. 36, No. 1, 1998, pp. 82-99.
22. Hulsing, K. P., Methods for Computing Functional Gains for LQR Control of Partial Differential Equations, Ph.D. thesis, Virginia Polytechnic Institute and State University, 1999.
23. Byrd, R. H., Peihuang, L., Nocedal, J., and Zhu, C., "A limited memory algorithm for bound constrained optimization," Technical Report NAM-08, EECS Department, Northwestern University, 1994, http://www.netlib.org/toms/778.
24. Andersson, P., Berggren, M., and Henningson, D. S., "Optimal Disturbances and Bypass Transition in Boundary Layers." Phys. Fluids, Vol. 11, 1999, pp. 134-150.
25. Luchini, P., "Reynolds-number-independent instability of the Boundary layer Over a Flat Surface: Optimal Perturbations," J. Fluid Mech., Vol. 404, 2000, pp. 289-309.
26. Cathalifaud, P. and Luchini, P., "Algebraic Growth in Boundary Layers: Optimal Control by Blowing and Suction at the Wall," Eur. J. Mech. B - Fluids, Vol. 19, 2000, pp. 469-490.
27. Gregory, N., Stuart, J. T., and Walker, W. S., "On the stability of three dimensional boundary layers with application to the flow due to a rotating disk," Phil. trans. R. Soc. Lond., Vol. A 248, 1955, pp. 155-199.
28. Lerche, T., "Experimentelle Untersuchung nichtlinearen Strukturbildung im Transitionsprozeß einer instabilen Grenzschicht," Fortscrittberichte, VDI, Reihe 7: Strömungstechnik Nr. 310, 1997.
29. Kawakami, M., Kohama, Y., and Okutsu, M., "Stability characteristic of stationary crossflow vortices in threedimensional boundary layer," AIAA Paper 99-0811, 1999.
30. Högberg, M. and Henningson, D. S., "Secondary instability of cross-flow vortices in Falkner-Skan-Cooke boundary layers," J. Fluid Mech., Vol. 368, 1998, pp. 339-357.
31. Malik, M. R., Li, F., Choudhari, M. M., and Chang, C.- L., "Secondary instability of crossflow vortices and swept-wing boundary layer transition," J. Fluid Mech., Vol. 399, 1999, pp. 86-115.
32. Protas, B. and Bewley, T. R., "Regularization opportunities in the adjoint analysis of multiscale systems," Advances in Turbulence IX, edited by I. P. Castro, P. E. Hancock, and T. G. Thomas, Proceedings of the Ninth European Turbulence Conference, 2002.