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Numerical modeling of collapse in ideal incompressible hydrodynamics

  • Plasma, Gases
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Abstract

The appearance of a singularity in the velocity-field vorticity ω at an isolated point irrespective of the symmetry of initial distribution is demonstrated numerically. The behavior of maximal vorticity |ω| near the collapse point is well approximated by the dependence (t 0−t)−1, where t 0 is the collapse time. This is consistent with the interpretation of collapse as the breaking of vortex lines.

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Authors and Affiliations

  1. International Institute of the Theory of Earthquake Forecasting and Mathematical Geophysics, Russian Academy of Sciences, Moscow, 113556, Russia

    V. A. Zheligovsky, E. A. Kuznetsov & O. M. Podvigina

Authors
  1. V. A. Zheligovsky
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  2. E. A. Kuznetsov
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  3. O. M. Podvigina
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 74, No. 7, 2001, pp. 402–406.

Original Russian Text Copyright © 2001 by Zheligovsky Kuznetsov, Podvigina.

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Zheligovsky, V.A., Kuznetsov, E.A. & Podvigina, O.M. Numerical modeling of collapse in ideal incompressible hydrodynamics. Jetp Lett. 74, 367–370 (2001). https://doi.org/10.1134/1.1427123

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  • DOI: https://doi.org/10.1134/1.1427123

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