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Low-order modelling of laminar flow regimes past a confined square cylinder

Published online by Cambridge University Press:  01 March 2004

B. GALLETTI ,
C. H. BRUNEAU ,
L. ZANNETTI  and
A. IOLLO
B. GALLETTI
Affiliation:
Dipartimento di Ingegneria Aeronautica e Spaziale, Politecnico di Torino, 10129 Torino, Italy
C. H. BRUNEAU
Affiliation:
Département de Mathématiques Appliquées, Université Bordeaux 1, Bordeaux, France
L. ZANNETTI
Affiliation:
Dipartimento di Ingegneria Aeronautica e Spaziale, Politecnico di Torino, 10129 Torino, Italy
A. IOLLO
Affiliation:
Dipartimento di Ingegneria Aeronautica e Spaziale, Politecnico di Torino, 10129 Torino, Italy
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Abstract

A proper orthogonal decomposition based model is considered for two-dimensional vortex shedding past a confined square cylinder. The aim is to study the validity of such a model for Reynolds numbers and blockage ratios that are different from those for which the model was derived. Using a calibration procedure it is shown that reliable results can be obtained in terms of short-term (one period) dynamics. Long-term dynamics are accurately captured with a variation of the Reynolds number, whereas the error becomes large when the blockage ratio changes. The controllability and observability of vortex shedding at a slightly supercritical Reynolds number is investigated relying on the accurate low-order models obtained.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 503 , 25 March 2004 , pp. 161 - 170
Copyright
© 2004 Cambridge University Press

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