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Spatially distributed control for optimal drag reduction of the flow past a circular cylinder

Published online by Cambridge University Press:  06 March 2008

PHILIPPE PONCET ,
ROLAND HILDEBRAND ,
GEORGES-HENRI COTTET  and
PETROS KOUMOUTSAKOS
PHILIPPE PONCET
Affiliation:
Université de Toulouse, INSA, GMM 135 avenue de Rangueil, F-31077 Toulouse, France CNRS, Institut de Mathématiques de Toulouse, Equipe MIP, F-31077 Toulouse, France
ROLAND HILDEBRAND
Affiliation:
Laboratoire Jean Kuntzmann, CNRS and Université de Grenoble, BP 53, F-38041 Grenoble, France
GEORGES-HENRI COTTET
Affiliation:
Laboratoire Jean Kuntzmann, CNRS and Université de Grenoble, BP 53, F-38041 Grenoble, France
PETROS KOUMOUTSAKOS
Affiliation:
Computational Science, ETH Zurich, CH-8092, Switzerland
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Abstract

We report high drag reduction in direct numerical simulations of controlled flows past circular cylinders at Reynolds numbers of 300 and 1000. The flow is controlled by the azimuthal component of the tangential velocity of the cylinder surface. Starting from a spanwise-uniform velocity profile that leads to high drag reduction, the optimization procedure identifies, for the same energy input, spanwise-varying velocity profiles that lead to higher drag reduction. The three-dimensional variations of the velocity field, corresponding to modes A and B of three-dimensional wake instabilities, are largely responsible for this drag reduction. The spanwise wall velocity variations introduce streamwise vortex braids in the wake that are responsible for reducing the drag induced by the primary spanwise vortices shed by the cylinder. The results demonstrate that extending two-dimensional controllers to three-dimensional flows is not optimal as three-dimensional control strategies can lead efficiently to higher drag reduction.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 599 , 25 March 2008 , pp. 111 - 120
Copyright
Copyright © Cambridge University Press 2008

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References

REFERENCES

Barkley, D. & Henderson, R. D. 1996 Three-dimensional Floquet stability analysis of the wake of a circular cylinder. J. Fluid Mech. 322, 215–241.CrossRefGoogle Scholar
Box, G. E. P. & Wilson, K. B. 1951 On the experimental attainment of optimum conditions. J. R. Statist Soc. 13 B, 1–38.Google Scholar
Choi, H., Jeon, W.-P. & Kim, J. 2008 Control of flow over a bluff body. Annu. Rev. Fluid Mech. 40, 113–139Google Scholar
Cottet, G.-H. & Koumoutsakos, P. D. 2000 Vortex Methods, Theory and Practice. Cambridge University Press.Google Scholar
Cottet, G.-H. & Poncet, P. 2003 Advances in Direct Numerical Simulations of three-dimensional wall-bounded flows by Vortex In Cell methods. J. Comput. Phys 193, 136–158.Google Scholar
Cottet, G.-H. & Poncet, P. 2004 New results in the simulation and control of three-dimensional cylinder wakes. Computers. Fluids 33, 697–713.Google Scholar
Darekar, R. M. & Sherwin, S. J. 2001 Flow past a square-section cylinder with a wavy stagnation face. J. Fluid Mech. 426, 263–295.CrossRefGoogle Scholar
Dennis, S. C. R., Nguyen, P. & Kocabiyik, S. 2000 The flow induced by a rotationally oscillating and translating circular cylinder. J. Fluid Mech. 385, 255–286.Google Scholar
Dobre, A., Hangan, H. & Vickery, B. J. 2006 Wake control based on spanwise sinusoidal perturbations. AIAA J. 44, 485–492.CrossRefGoogle Scholar
Kim, J. & Choi, H. 2005 Distributed forcing of flow over a circular cylinder. Phys. Fluids 17, 033103.Google Scholar
Koumoutsakos, P. 2005 Multiscale flow simulations using particles. Annu. Rev. Fluid Mech. 37, 457–487.CrossRefGoogle Scholar
Koumoutsakos, P., Leonard, A. & Pepin, F. 1994 Boundary conditions for viscous vortex methods. J. Comput. Phys. 113, 52.Google Scholar
Kravchenko, A. G., Moin, P. & Shariff, K. 1999 B-spline method and zonal grids for simulations of complex turbulent flows. J. Comput. Phys. 151, 757–789.CrossRefGoogle Scholar
Lee, S. J., Lim, H. C., Han, M. & Lee, S. S. 2005 Flow control of circular cylinder with a V-grooved micro-riblet film. Fluid Dyn. Res. 37, 246–266.Google Scholar
Lim, H. C. & Lee, S. J. 2004 Flow control of a circular cylinder with O-rings. Fluid Dyn. Res. 35, 107–122.CrossRefGoogle Scholar
Luo, S. C. & Xia, H. M. 2005 Parallel vortex shedding at Re = O(104) – a transverse control cylinder technique approach. J. Fluid Mech. 541, 134–165.CrossRefGoogle Scholar
Milano, M. & Koumoutsakos, P. 2002 A clustering genetic algorithm for cylinder drag optimization. J. Comput. Phys. 175, 79–107.CrossRefGoogle Scholar
Mittal, R. & Balachandar, S. 1995 Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinders. Phys. Fluids 7, 1841.Google Scholar
Ould-Sahili, M. L. Cottet, G.-H. & El Hamraoui, M. 2000 Blending finite-differencies and vortex methods for incompressible flow computations. SIAM J. Sci. Comput. 22, 1655–1674.CrossRefGoogle Scholar
Poncet, P. 2004 Topological aspects of the three-dimensional wake behind rotary oscillating circular cylinder. J. Fluid Mech. 517, 27–53.CrossRefGoogle Scholar
Poncet, P. 2005 Bimodal optimization of three-dimensional wakes. Proc. 6th DLES Conference, pp. 449–458.Google Scholar
Poncet, P. 2007 Analysis of direct three-dimensional parabolic panel methods. SIAM J. Numer. Anal. 45, 2259–2297.CrossRefGoogle Scholar
Poncet, P., Cottet, G.-H. & Koumoutsakos, P. 2005 Control of three-dimensional wakes using evolution strategies. C. R. Mecanique 333, 65–77.Google Scholar
Poncet, P. & Koumoutsakos, P. 2005 Optimization of vortex shedding in 3D wakes using belt actuators. Intl J. Offshore Polar Engng 15, 7–14.Google Scholar
Tokumaru, P. & Dimotakis, P. 1991 Rotary oscillation of a cylinder wake. J. Fluid Mech. 224, 77–90.CrossRefGoogle Scholar
Wieselsberger, C. 1922 New data on the laws of fluid resistance. Report NACA-TN-84.Google Scholar
Williamson, C. H. K. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477–526.Google Scholar