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Model-based control of vortex shedding at low Reynolds numbers

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Abstract

Model-based feedback control of vortex shedding at low Reynolds numbers is considered. The feedback signal is provided by velocity measurements in the wake, and actuation is achieved using blowing and suction on the cylinder’s surface. Using two-dimensional direct numerical simulations and reduced-order modelling techniques, linear models of the wake are formed at Reynolds numbers between 45 and 110. These models are used to design feedback controllers using \(\mathcal {H}_\infty \) loop-shaping. Complete suppression of shedding is demonstrated up to Re \(=\) 110—both for a single-sensor arrangement and for a three-sensor arrangement. The robustness of the feedback controllers is also investigated by applying them over a range of off-design Reynolds numbers, and good robustness properties are seen. It is also observed that it becomes increasingly difficult to achieve acceptable control performance—measured in a suitable way—as Reynolds number increases.

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  1. Department of Mechanical Engineering, University of Melbourne, Parkville, VIC, 3010, Australia

    Simon J. Illingworth

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Correspondence to Simon J. Illingworth.

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Communicated by Jeff D. Eldredge.

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Illingworth, S.J. Model-based control of vortex shedding at low Reynolds numbers. Theor. Comput. Fluid Dyn. 30, 429–448 (2016). https://doi.org/10.1007/s00162-016-0389-6

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