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Phase-based control of periodic flows

Published online by Cambridge University Press:  29 September 2021

Aditya G. Nair Open the ORCID record for Aditya G. Nair [Opens in a new window] ,
Kunihiko Taira Open the ORCID record for Kunihiko Taira [Opens in a new window] ,
Bingni W. Brunton Open the ORCID record for Bingni W. Brunton [Opens in a new window]  and
Steven L. Brunton Open the ORCID record for Steven L. Brunton [Opens in a new window]
Aditya G. Nair*
Affiliation:
Department of Mechanical Engineering, University of Nevada, Reno, NV 89557, USA
Kunihiko Taira
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095, USA
Bingni W. Brunton
Affiliation:
Department of Biology, University of Washington, Seattle, WA 98195, USA
Steven L. Brunton
Affiliation:
Department of Mechanical Engineering, University of Washington, Seattle, WA 98195, USA
*
†Email address for correspondence: [email protected]
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Abstract

Unsteady bluff-body flows exhibit dominant oscillatory behaviour owing to periodic vortex shedding. The ability to manipulate this vortex shedding is critical to improving the aerodynamic performance of bodies in a flow. This goal requires a precise understanding of how the perturbations affect the asymptotic behaviour of the oscillatory flow and of the ability to control transient dynamics. In this work, we develop an energy-efficient flow-control strategy to alter the oscillation phase of time-periodic fluid flows rapidly. First, we perform a phase-sensitivity analysis to construct a reduced-order model for the response of the flow oscillation to impulsive control inputs at various phases. Next, we introduce a real-time optimal phase-control strategy based on the phase-sensitivity function obtained by solving the associated Euler–Lagrange equations as a two-point boundary-value problem. Our approach is demonstrated for the incompressible laminar flow past a circular cylinder and an airfoil. We show the effectiveness of phase control with different actuation inputs, including blowing and rotary control. Moreover, our control approach is a sensor-based approach without the need for access to high-dimensional measurements of the entire flow field.

JFM classification

Vortex Flows: Vortex shedding Mathematical Foundations: Variational methods
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 927 , 25 November 2021 , A30
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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