Abstract
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 0−t)−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.
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© 2002 Kluwer Academic Publishers
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Kuznetsov, E.A., Podvigina, O.M., Zheligovsky, V.A. (2002). Numerical evidence of breaking of vortex lines in an ideal fluid. In: Bajer, K., Moffatt, H.K. (eds) Tubes, Sheets and Singularities in Fluid Dynamics. Fluid Mechanics and Its Applications, vol 71. Springer, Dordrecht. https://doi.org/10.1007/0-306-48420-X_37
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DOI: https://doi.org/10.1007/0-306-48420-X_37
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