Closed-loop control of unsteadiness over a rounded backward-facing step

Alexandre Barbagallo, Gregory Dergham, Denis Sipp, Peter J. Schmid, Jean Christophe Robinet

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


The two-dimensional, incompressible flow over a rounded backward-facing step at Reynolds number Re = 600 is characterized by a detachment of the flow close to the step followed by a recirculation zone. Even though the flow is globally stable, perturbations are amplified as they are convected along the shear layer, and the presence of upstream random noise renders the flow unsteady, leading to a broadband spectrum of excited frequencies. This paper is aimed at suppressing this unsteadiness using a controller that converts a shear-stress measurement taken from a wall-mounted sensor into a control law that is supplied to an actuator. A comprehensive study of various components of closed-loop control design-covering sensor placement, choice and influence of the cost functional, accuracy of the reduced-order model, compensator stability and performance-shows that successful control of this flow requires a judicious balance between estimation speed and estimation accuracy, and between stability limits and performance requirements. The inherent amplification behaviour of the flow can be reduced by an order of magnitude if the above-mentioned constraints are observed. In particular, to achieve superior controller performance, the estimation sensor should be placed upstream near the actuator to ensure sufficient estimation speed. Also, if high-performance compensators are sought, a very accurate reduced-order model is required, especially for the dynamics between the actuator and the estimation sensor; otherwise, very minute errors even at low energies and high frequencies may render the large-scale compensated linearized simulation unstable. Finally, coupling the linear compensator to nonlinear simulations shows a gradual deterioration in control performance as the amplitude of the noise increases. © 2012 Cambridge University Press.
Original languageEnglish (US)
Pages (from-to)326-362
Number of pages37
JournalJournal of Fluid Mechanics
StatePublished - Jul 25 2012
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2022-09-13

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Condensed Matter Physics


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