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Start-up flows in a three-dimensional rectangular driven cavity of aspect ratio 1:1:2 at Re = 1000

Published online by Cambridge University Press:  09 January 2002

J.-L. GUERMOND ,
C. MIGEON ,
G. PINEAU  and
L. QUARTAPELLE
J.-L. GUERMOND
Affiliation:
Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur, CNRS, BP 133, 91403, Orsay, [email protected]
C. MIGEON
Affiliation:
Laboratoire de Mécanique Appliquée, Automatique et Géomécanique, Institut National des Sciences Appliquées, 20 avenue des Buttes de Cèsmes – CS 14315, 35043 Rennes cedex, [email protected]
G. PINEAU
Affiliation:
Laboratoire d'Etudes Aérodynamiques (LEA), Université de Poitiers, CNRS, Boulevard Marie et Pierre Curie Téléport 2, BP 179, 86960 Futuroscope cedex, France
L. QUARTAPELLE
Affiliation:
Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Via La Masa 34, 20158 Milano, Italy
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Abstract

This paper provides comparisons between experimental data and numerical results for impulsively started flows in a three-dimensional rectangular lid-driven cavity of aspect ratio 1:1:2 at Reynolds number 1000. The initial evolution of this flow is studied up to the dimensionless time t = 12 and is found both experimentally and numerically to exhibit high sensitivity to geometrical perturbations. Three different flow developments generated by very small changes in the boundary geometry are found in the experiments and are reproduced by the numerics. This indicates that even at moderate Reynolds numbers the predictability of three-dimensional incompressible viscous flows in bounded regions requires controlling the shape of the boundary and the values of the boundary conditions more carefully than needed in two dimensions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 450 , 10 January 2002 , pp. 169 - 199
Copyright
© 2002 Cambridge University Press

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