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Feedback control by low-order modelling of the laminar flow past a bluff body

Published online by Cambridge University Press:  26 August 2009

JESSIE WELLER
Affiliation:
Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université Bordeaux 1 – INRIA MC2 project team, 33405 Talence, France
SIMONE CAMARRI
Affiliation:
Dipartimento di Ingegneria Aerospaziale, Università di Pisa, 56122 Pisa, Italy
ANGELO IOLLO
Affiliation:
Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université Bordeaux 1 – INRIA MC2 project team, 33405 Talence, France
Corresponding

Abstract

In this work a two-dimensional laminar flow past a square cylinder is considered. Actuators placed on the cylinder enable active control by blowing and suction. Proportional feedback control is then applied using velocity measurements taken in the cylinder wake. Projection onto an empirical subspace is combined with a calibration technique to build a low-order model of the incompressible Navier–Stokes equations. This model is used within an optimization method to determine a set of feedback gains which reduces the unsteadiness of the wake at Re = 150. The resulting controlled flows are further characterized by computing the critical Reynolds numbers for the onset of the vortex shedding instability.

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Copyright © Cambridge University Press 2009

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