Numerical evidence of breaking of vortex lines in an ideal fluid

  • Evgeniy A. Kuznetsov
  • Olga M. Podvigina
  • Vladislav A. Zheligovsky
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 71)


Emergence of singularity of vorticity at a single point, not related to any symmetry of the initial distribution, has been demonstrated numerically for the first time. Behaviour of the maximum of vorticity near the point of collapse closely follows the dependence (t 0t)−1, where t 0 is the time of collapse. This agrees with the interpretation of collapse in an ideal incompressible fluid as of the process of vortex lines breaking.


Euler Equation Vortex Line Vortex Tube Numerical Evidence Vortex Filament 
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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Evgeniy A. Kuznetsov
    • 1
    • 2
  • Olga M. Podvigina
    • 3
    • 2
    • 4
  • Vladislav A. Zheligovsky
    • 3
    • 2
    • 4
  1. 1.L.D.Landau Institute for Theoretical PhysicsMoscowRussian Federation
  2. 2.Observatoire de la Côte d’Azur, CNRS UMR 6529Nice Cedex 4France
  3. 3.International Institute of Earthquake Prediction Theory and Mathematical GeophysicsMoscowRussian Federation
  4. 4.Laboratory of general aerodynamics, Institute of MechanicsLomonosov Moscow State UniversityMoscowRussian Federation

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