Numerical evidence of breaking of vortex lines in an ideal fluid
Fluid Dynamics
2008-11-01 v1 Chaotic Dynamics
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. 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.
Keywords
Cite
@article{arxiv.physics/0110046,
title = {Numerical evidence of breaking of vortex lines in an ideal fluid},
author = {E. A. Kuznetsov and O. M. Podvigina and V. A. Zheligovsky},
journal= {arXiv preprint arXiv:physics/0110046},
year = {2008}
}
Comments
12 pp., 4 figs., LaTeX. Submitted to Proccedings of the IUTAM Symposium on Tubes, Sheets and Singularities in Fluid Dynamics, Zakopane, Poland, 2-7 September 2001