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The nonlinear decay of vortex flows in a rotating fluid

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Abstract

The manifestations of the cyclone-anticyclone asymmetry effect, which is observed in nature [1–3] and in laboratory experiments with a rotating fluid [4–6], have been studied in the scope of the vorticity evolution generalized equation. Under laboratory conditions, asymmetry is observed as a faster decay of cyclonic vortices as compared to anticyclonic ones. This effect has been analytically described simply based on the problem of the vortex spot decay and spatially periodic vortex lattice. It has been indicated that anticyclonic vortices compress and cyclonic ones expand when a lattice damps. Examples of exact solutions of the vorticity equation [7] (describing, specifically, collapsing of an axisymmetric vortex core with anticyclonic vorticity) have been constructed. The effect of the Ekman friction on the interaction between singular vortices is discussed.

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Authors and Affiliations

  1. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 119017, Russia

    M. V. Kalashnik & O. G. Chkhetiani

  2. NPO Taifun, ul. Pobedy 4, Obninsk, Kaluzhskaya oblast, 249038, Russia

    M. V. Kalashnik

  3. Space Research Institute, Russian Academy of Sciences, Profsoyuznaya ul. 84/32, Moscow, 117997, Russia

    O. G. Chkhetiani

Authors
  1. M. V. Kalashnik
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  2. O. G. Chkhetiani
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Correspondence to M. V. Kalashnik.

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Original Russian Text © M.V. Kalashnik, O.G. Chkhetiani, 2014, published in Doklady Akademii Nauk, 2014, Vol. 456, No. 6, pp. 717–722.

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Kalashnik, M.V., Chkhetiani, O.G. The nonlinear decay of vortex flows in a rotating fluid. Dokl. Earth Sc. 456, 769–774 (2014). https://doi.org/10.1134/S1028334X14060348

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  • DOI: https://doi.org/10.1134/S1028334X14060348

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