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Interactions of point vortices in the Zabusky-McWilliams model with a background flow
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Connaughton, Colm and Ockendon, J. R.. (2012) Interactions of point vortices in the Zabusky-McWilliams model with a background flow. Discrete and Continuous Dynamical Systems - Series B , Vol.17 (No.6). pp. 1795-1807. ISSN 1553-524X (Submitted)
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WRAP_Connaughton_interaction_of_point_vortices__1106.3790v1.pdf - Submitted Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (1153Kb) |
Official URL: http://dx.doi.org/10.3934/dcdsb.2012.17.1795
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.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Centre for Complexity Science Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Hurricanes -- Mathematical models, Vortex-motion, Disaster insurance |
| Journal or Publication Title: | Discrete and Continuous Dynamical Systems - Series B |
| Publisher: | American Institute of Mathematical Sciences |
| ISSN: | 1553-524X |
| Date: | September 2012 |
| Volume: | Vol.17 |
| Number: | No.6 |
| Page Range: | pp. 1795-1807 |
| Identification Number: | 10.3934/dcdsb.2012.17.1795 |
| Status: | Peer Reviewed |
| Publication Status: | Submitted |
| Access rights to Published version: | Restricted or Subscription Access |
| Related URLs: | |
| References: | [1] I. J. Benczik, T. T�el, and Z. K�oll�o. Modulated point-vortex couples on a beta-plane: dynamics and chaotic advection. J. Fluid Mech., 582:1{22, 2007. [2] W. Bin, R. L. Elsberry, W. Yuqing, and W. Liguang. Dynamics in tropical cyclone motion: a review. Chinese J. Atm. Sci., 22(4):416{434, 1998. [3] J. G. Charney. On a physical basis for numerical prediction of large-scale motions in the atmosphere. J. Meteor, 6:371{85, 1949. [4] M. Lander and G. J. Holland. On the interaction of tropical{cyclone{scale vortices. I: Observations. Quart. J. Roy. Met. Soc., 119:1347{1361, 1993. [5] L. MacManus et al. Modelling Hurricane Track Memory. Report of 73rd European Study Group with Industry, http://www.maths-in-industry.org/miis/view/studygroups/esgi73/, 2010. [6] NOAA. Hurricane Basics. http://hurricanes.noaa.gov/pdf/hurricanebook.pdf, 1999. [7] J. Pedlosky. Geophysical uid dynamics, 2nd Ed. Springer, New York, 1987. [8] O. U. Velasco Fuentes and F. A. Vel�azquez Mu~noz. Interaction of two equal vortices on a �-plane. Phys. Fluids, 15(4):1021{1032, 2003. [9] N. J. Zabusky and J. C. McWilliams. A modulated point-vortex model for geostrophic �-plane dynamics. Phys. Fluids, 25(12):2175{2182, 1982. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/44646 |
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