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Mathematical and Computational Approaches in Advancing Modern Science and Engineering pp 35–46Cite as

Numerical Simulations of the Dynamics of Vortex Rossby Waves on a Beta-Plane

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Abstract

Observational analyses of hurricanes in the tropical atmosphere indicate the existence of spiral rainbands which propagate outwards from the eye and affect the structure and intensity of the hurricane. These disturbances may be described as vortex Rossby waves. It has been suggested that vortex Rossby waves may play a role in the eyewall replacement cycle observed in tropical cyclones in which concentric rings of high-intensity wind develop and propagate in towards the centre of the cyclone. In previous work with Nikitina, we investigated the dynamics of vortex Rossby waves in a cyclonic vortex in a two-dimensional configuration on a beta-plane and derived analytical solutions. In the current work, some results of numerical simulations are presented.

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Acknowledgements

The author would like to thank Dr. L. Nikitina for drawing the schematic diagrams shown in Figs. 1 and 2 and the anonymous reviewer for helpful comments.

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Authors and Affiliations

  1. Carleton University, Ottawa, ON, Canada

    L. J. Campbell

Authors
  1. L. J. Campbell
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Correspondence to L. J. Campbell .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Montreal, Montreal, Québec, Canada

    Jacques Bélair

  2. Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada

    Ian A. Frigaard

  3. Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada

    Herb Kunze

  4. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roman Makarov

  5. MS2Discovery Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roderick Melnik

  6. Department of Computer Science, University of Saskatchewan, Saskatoon, Saskatchewan, Canada

    Raymond J. Spiteri

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© 2016 Springer International Publishing Switzerland

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Campbell, L.J. (2016). Numerical Simulations of the Dynamics of Vortex Rossby Waves on a Beta-Plane. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_4

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