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A finite-element study of the onset of vortex shedding in flow past variously shaped bodies

Published online by Cambridge University Press:  21 April 2006

C. P. Jackson
C. P. Jackson
Affiliation:
Theoretical Physics Division, Harwell Laboratory, Didcot OX11 0RA, UK
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Abstract

The onset of periodic behaviour in two-dimensional laminar flow past bodies of various shapes is examined by means of finite-element simulations. The transition from steady to periodic flow is marked by a Hopf bifurcation, which we locate by solving an appropriate extended set of steady-state equations. The bodies considered are a circular cylinder, triangular prisms of various shapes, and flat plates and elliptical cylinders aligned over a range of angles to the direction of flow. Our results for the circular cylinder are in good agreement with experimental observations and with the results of time-dependent calculations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 182 , September 1987 , pp. 23 - 45
Copyright
© 1987 Cambridge University Press

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