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

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

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  • L. J. Campbell

    (Carleton University)

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.

Suggested Citation

  • L. J. Campbell, 2016. "Numerical Simulations of the Dynamics of Vortex Rossby Waves on a Beta-Plane," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 35-46, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_4
    DOI: 10.1007/978-3-319-30379-6_4
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