Numerical evidence of breaking of vortex lines in an ideal fluid

Details Numerical evidence of breaking of vortex lines in an ideal fluid Numerical evidence of breaking of vortex lines in an ideal fluid

2001-10-15

arxiv.org/abs/physics/0110046v1

Tubes, sheets and singularities in fluid dynamics. Fluid mechanics and its applications, Vol. 71. Eds. K. Bajer, H.K. Moffatt.

Physics

Fluid Dynamics

12 pp., 4 figs., LaTeX. Submitted to Proccedings of the IUTAM Symposium on Tubes, Sheets and Singularities in Fluid Dynamics,

Scientific paper

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. Behavior of the maximum of vorticity near the point of collapse closely follows the dependence 1/(t0-t), where t0 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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