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Predicting the aftermath of vortex breakup in rotating flow

Published online by Cambridge University Press:  11 January 2011

G. F. CARNEVALE ,
R. C. KLOOSTERZIEL ,
P. ORLANDI  and
D. D. J. A. van SOMMEREN
G. F. CARNEVALE*
Affiliation:
Scripps Institution of Oceanography, University of California, San Diego, La Jolla, CA 92093, USA
R. C. KLOOSTERZIEL
Affiliation:
School of Ocean and Earth Science and Technology, University of Hawaii, Honolulu, HI 96822, USA
P. ORLANDI
Affiliation:
Dipartimento di Meccanica e Aeronautica, University of Rome, ‘La Sapienza’, via Eudossiana 18, 00184 Roma, Italy
D. D. J. A. van SOMMEREN
Affiliation:
Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, the Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

A method for predicting the outcome of vortex breakup in a rotating flow is introduced. The vortices dealt with here are subject to both centrifugal and barotropic instabilities. The prediction of the aftermath of the breakup relies on knowing how both centrifugal and barotropic instabilities would equilibrate separately. A theoretical model for non-linear equilibration in centrifugal instability is wedded to two-dimensional simulation of barotropic instability to predict the final vortices that emerge from the debris of the original vortex. This prediction method is tested against three-dimensional Navier–Stokes simulations. For vortices in which a rapid centrifugal instability triggers a slower barotropic instability, the method is successful both qualitatively and quantitatively. The skill of the prediction method decreases as the time scales of the two instabilities become comparable.

JFM classification

Geophysical and Geological Flows: Geophysical and Geological Flows Turbulent Flows: Turbulent Flows Vortex Flows: Vortex Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 669 , 25 February 2011 , pp. 90 - 119
Copyright
Copyright © Cambridge University Press 2011

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Footnotes

‡

Present address: BP Institute and Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 0EZ, UK.

References

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