Ocean Dynamics

, Volume 68, Issue 6, pp 723–733 | Cite as

The formation of new quasi-stationary vortex patterns from the interaction of two identical vortices in a rotating fluid

  • Mikhail A. Sokolovskiy
  • Jacques Verron
  • Xavier J. Carton
Part of the following topical collections:
  1. Topical Collection on the International Conference “Vortices and coherent structures: from ocean to microfluids”, Vladivostok, Russia, 28-31 August 2017


Within the framework of the quasi-geostrophic approximation, the interactions of two identical initially circular vortex patches are studied using the contour dynamics/surgery method. The cases of barotropic vortices and of vortices in the upper layer of a two-layer fluid are considered. Diagrams showing the end states of vortex interactions and, in particular, the new regime of vortex triplet formation are constructed for a wide range of external parameters. This paper shows that, in the nonlinear evolution of two such (like-signed) vortices, the filaments and vorticity fragments surrounding the merged vortex often collapse into satellite vortices. Therefore, the conditions for the formation and the quasi-steady motions of a new type of triplet-shaped vortex structure are obtained.


Vortex interaction Vortex merger Filamentation Triplet Quasi-Geostrophy 


Funding information

This is a contribution to PRC CNRS/RFBR 1069/16-55-150001. From the side of the MAS work was carried out within the framework of the state task no. 0149-2018-0001. This study receive support from Russian Foundation for Basic Research (Project No 16-05-00121), Russian Scientific Foundation (Project No. 14-50-00095), Ministry of Education and Science of Russian Federation (Project No. 14.W.03.31.0006).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Mikhail A. Sokolovskiy
    • 1
    • 2
  • Jacques Verron
    • 3
  • Xavier J. Carton
    • 4
  1. 1.Institute of Water Problems of Russian Academy of SciencesMoscowRussia
  2. 2.Shirshov Institute of Oceanology of Russian Academy of SciencesMoscowRussia
  3. 3.Institut des Géosciences de l’Environnement (IGE)Grenoble Cedex 9France
  4. 4.Laboratoire d’Océanographie Physique et Spatiale, IUEM/UBOPlouzanéFrance

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