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A numerical study of the roll-up of a finite vortex sheet

Published online by Cambridge University Press:  29 March 2006

D. W. Moore
D. W. Moore
Affiliation:
Department of Mathematics, Imperial College, London
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Abstract

A point-vortex representation is used to study numerically the evolution of an initially plane vortex sheet. By introducing a tip vortex to represent the tightly rolled portion of the vortex sheet, the chaotic motion which was a feature of some earlier studies is eliminated and the details of the outer portion of the spiral are calculated. The rate of rolling up is calculated and is shown to be governed by the analytically predicted similarity law of Kaden during the initial stages of the rolling up. The calculations are continued until 99% of the vorticity has been rolled up, at which stage the spiral displays a marked ellipticity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 63 , Issue 2 , 3 April 1974 , pp. 225 - 235
Copyright
© 1974 Cambridge University Press

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References

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