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Article

Transition delay using control theory

Authors: Bagheri, S., Henningson, D.S.H.
Document Type: Article
Pubstate: Accepted
Journal: Phil. Trans. R. Soc. London A
Volume:   
Year: 2011

Abstract

This review gives an account of recent research efforts to use feedback control for the delay of laminar-turbulent transition in wall-bounded shear flows. The emphasis is on reducing the growth of small-amplitude disturbances in the boundary layer using numerical simulations and a linear control approach. Starting with the application of classical control theory to two-dimensional perturbations developing in spatially invariant ?ows, flow control based on control theory has progressed toward more realistic three-dimensional, spatially inhomogeneous flow configurations with localized sensing/actuation. The development of low-dimensional models of the Navier–Stokes equations has played a key role in this progress. Moreover, shortcomings and future challenges as well as recent experimental advances in this multidisciplinary field are discussed.