Interactions of point vortices in the Zabusky-McWilliams model with a background flow

Colm Connaughton; John R. Ockendon

doi:10.3934/dcdsb.2012.17.1795

Article Contents

2012, Volume 17, Issue 6: 1795-1807. Doi: 10.3934/dcdsb.2012.17.1795

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Interactions of point vortices in the Zabusky-McWilliams model with a background flow

Colm Connaughton^1, and
John R. Ockendon^2,

1.
Warwick Mathematics Institute and Warwick Centre for Complexity Science, University of Warwick, Coventry, CV4 7AL
2.
Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, 24–29 St Giles’, Oxford OX1 3LB

Received: May 2011

Revised: December 2011

Published: September 2012

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Abstract

We combine a simple quasi-geostrophic flow model with the Zabusky-McWilliams theory of atmospheric vortex dynamics to address a hurricane-tracking problem of interest to the insurance industry. This enables us to make predictions about the "follow-my-leader" phenomenon.

Keywords:

Fluid dynamics,
point vortex models.

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

Citation:

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References

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