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Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder: a comparison with experimental visualization and measurements

Published online by Cambridge University Press:  20 April 2006

Ta Phuoc Loc  and
R. Bouard
Ta Phuoc Loc
Affiliation:
LIMSI–CNRS, B.P. 30, 91406 Orsay, France
R. Bouard
Affiliation:
Laboratoire de Mécanique des Fluides, Université de Poitiers, 86022 Poitiers, France
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Abstract

Early stages of unsteady viscous flows around a circular cylinder at Reynolds numbers of 3 × 103 and 9.5 × 103 are analysed numerically by direct integration of the Navier–Stokes equations – a fourth-order finite-difference scheme is used for the resolution of the stream-function equation and a second-order one for the vorticity-transport equation. Evolution with time of the flow structure is studied in detail. Some new phenomena are revealed and confirmed by experiments.

The influence of the grid systems and the downstream boundary conditions on the flow structure and the velocity profiles is reported. The computed results are compared qualitatively and quantitatively with experimental visualization and measurements. The comparison is found to be satisfactory.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 160 , November 1985 , pp. 93 - 117
Copyright
© 1985 Cambridge University Press

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