Abstract
We present a closed-loop flow control strategy for experiments and simulations. This strategy is based on low-order Galerkin models and nonlinear control. One key enabler is a partitioning of the flow in low-, dominant- and high-frequency components, i.e. a base flow, coherent structures and stochastic fluctuations. Another enabler is a control design exploiting the nonlinearities distilled by the model. Examples are presented for the actuated flow around a high-lift configuration and the controlled bluff body wake.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
King, R. (ed.): Active Flow Control. NNFM, vol. 95. Springer, Heidelberg (2007)
Wiener, N.: Cybernetics or Control and Communication in the Animal and the Machine, 1st edn. MIT Press, Boston (1948)
Lugt, H.J.: Introduction to Vortex Theory. Vortex Flow Press, Potomac (1996)
Fletcher, C.A.J.: Computational Galerkin Methods, 1st edn. Springer, New York (1984)
Holmes, P., Lumley, J.L., Berkooz, G.: Turbulence, Coherent Structures, Dynamical Systems and Symmetry, 1st paperback edn. Cambridge University Press, Cambridge (1998)
Noack, B.R., Papas, P., Monkewitz, P.A.: The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows. J. Fluid Mech. 523, 339–365 (2005)
Rediniotis, O.K., Ko, J., Kurdila, A.J.: Reduced order nonlinear Navier-Stokes models for synthetic jets. J. Fluids Eng. 124(2), 433–443 (2002)
Lumley, J.L., Blossey, P.N.: Control of turbulence. Ann. Rev. Fluid Mech. 30, 311–327 (1998)
Gerhard, J., Pastoor, M., King, R., Noack, B.R., Dillmann, A., Morzyński, M., Tadmor, G.: Model-based control of vortex shedding using low-dimensional Galerkin models. AIAA Paper 2003-4262 (2003)
Aubry, N., Holmes, P., Lumley, J.L., Stone, E.: The dynamics of coherent structures in the wall region of a turbulent boundary layer. J. Fluid Mech. 192, 115–173 (1988)
Noack, B.R., Schlegel, M., Ahlborn, B., Mutschke, G., Morzyński, M., Comte, P., Tadmor, G.: A finite-time thermodynamics of unsteady fluid flows. J. Non-Equilibr. Thermodyn. 33(2), 103–148 (2008)
Noack, B.R., Schlegel, M., Morzyński, M., Tadmor, G.: System reduction strategy for Galerkin models of fluid flows. Internat. J. Numer. Meth. Fluids 63(2) (2010) (in press)
Noack, B.R., Afanasiev, K., Morzyński, M., Tadmor, G., Thiele, F.: A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. J. Fluid Mech. 497, 335–363 (2003)
Luchtenburg, D.M., Günter, B., Noack, B.R., King, R., Tadmor, G.: A generalized mean-field model of the natural and high-frequency actuated flow around a high-lift configuration. J. Fluid Mech. 623, 283–316 (2009)
Schlegel, M., Noack, B.R., Comte, P., Kolomenskiy, D., Schneider, K., Farge, M., Scouten, J., Luchtenburg, D.M., Tadmor, G.: Reduced-order modelling of turbulent jets for noise control. NNFM, pp. 3–27. Springer, Heidelberg (2009)
Slotine, J.J.R., Li, W.: Applied nonlinear control, 1st edn. Pearson Prentice Hall, London (1991)
Gelb, A.: Applied optimal estimation, 2nd edn. M.I.T. Press, Cambridge (1986)
Wilcox, D.C.: Formulation of the k-omega turbulence model revisited. AIAA J. 46(11), 2823–2838 (2008)
Günther, B., Thiele, F., Petz, R., Nitsche, W., Sahner, J., Weinkauf, T., Hege, H.C.: Control of separation on the flap of a three element high-lift configuration. AIAA Paper 2007-0265 (2007)
Cooper, K.R. (ed.): Wind Tunnel Wall Corrections for Automotive Shapes in Closed-Jet Wind Tunnels. Society of Automotive Engineers Special Publication SAE SP-1176 (1996)
Muminovic, R., Pfeiffer, J., Werner, N., King, R.: Model predictive control for a 2D bluff body under disturbed flow conditions. NNFM. Springer, Heidelberg (2010)
Aleksić, K., Luchtenburg, D.M., King, R., Noack, B.R., Pfeiffer, J.: Robust nonlinear control versus linear model predictive control of a bluff body wake. Accepted for the 5th AIAA Flow Control Conference (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Luchtenburg, D.M. et al. (2010). Turbulence Control Based on Reduced-Order Models and Nonlinear Control Design. In: King, R. (eds) Active Flow Control II. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11735-0_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-11735-0_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11734-3
Online ISBN: 978-3-642-11735-0
eBook Packages: EngineeringEngineering (R0)