Abstract
Linear feedback control has been applied to transitional boundary layer flows. Information from wall-mounted sensors is used to estimate the flow state. The estimated state is then used to compute the optimal feedback control which is applied as blowing and suction with zero net mass-flux through the wall. The performance of the controller is tested in direct numerical simulations of a spatially growing Falkner–Skan– Cooke boundary layer where an inflectional instability is triggered. The extension to spatial boundary layer flows is an important step towards real applications.
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REFERENCES
Bewley, T. R. (2001). Flow control: New Challenges for a New Renaissance. Prog. Aero. Sci., 37:21-58.
Bewley, T. R. and Liu, S. (1998). Optimal and robust control and estimation of linear paths to transition. J. Fluid Mech., 365:305-349.
Chevalier, M., Hopffner, J., Bewley, T. R., and Henningson, D. S. (2004). State estimation of wall bounded flow systems. Part 2. Turbulent flows. J. Fluid Mech.Submitted.
Green, M. and Limebeer, D. J. N. (1995). Linear robust control. Prentice Hall.
Hopffner, J., Chevalier, M., Bewley, T. R., and Henningson, D. S. (2004). State estimation in wall-bounded flow systems, Part 1. Laminar flows. J. Fluid Mech.Submitted.
Högberg, M., Chevalier, M., and Henningson, D. S. (2003). Linear compensator control of a pointsource induced perturbation in a Falkner-Skan-Cooke boundary layer. Phys. Fluids, 15(8):2449-2452.
Högberg, M. and Henningson, D. S. (1998). Secondary instability of cross-?ow vortices in Falkner-Skan-Cooke boundary layers. J. Fluid Mech., 368:339-357.
Högberg, M. and Henningson, D. S. (2002). Linear optimal control applied to instabilities in spatially developing boundary layers. J. Fluid Mech., 470:151-179.
Kim, J. (2003). Control of turbulent boundary layers. Phys. Fluids, 15(5):1093-1105.
Lewis, F. L. and Syrmos, V. L. (1995). Optimal control. Wiley-Interscience.
Lundbladh, A., Berlin, S., Skote, M., Hildings, C., Choi, J., Kim, J., and Henning-son, D. S. (1999). An Efficient Spectral Method for Simulations of Incompressible Flow over a Flat Plate. Technical Report TRITA-MEK 1999:11, Department of Mechanics, Royal Institute of Technology, KTH.
Nördstrom, J., Nordin, N., and 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. Comp., 20(4):1365-1393.
Schmid, P. J. and Henningson, D. S. (2001). Stability and transition in shear flows, volume 142 of Applied Mathematical Sciences. Springer-Verlag.
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Chevalier, M., Hœpffner, J., Akervik, E., Henningson, D.S. (2006). FEEDBACK CONTROL IN SPATIALLY GROWING BOUNDARY LAYERS. In: Govindarajan, R. (eds) IUTAM Symposium on Laminar-Turbulent Transition. Fluid Mechanics and Its Applications, vol 78. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4159-4_32
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DOI: https://doi.org/10.1007/1-4020-4159-4_32
Publisher Name: Springer, Dordrecht
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