Kinetic energy of vortex knots and unknots
Fluid Dynamics
2015-05-13 v1
Abstract
New results on the kinetic energy of ideal vortex filaments in the shape of torus knots and unknots are presented. These knots are given by small-amplitude torus knot solutions (Ricca, 1993) to the Localized Induction Approximation (LIA) law. The kinetic energy of different knot and unknot types is calculated and presented for comparison. These results provide new information on relationships between geometry, topology and dynamics of complex vortex systems and help to establish possible connections between aspects of structural complexity of dynamical systems and vortical flows.
Keywords
Cite
@article{arxiv.0904.3658,
title = {Kinetic energy of vortex knots and unknots},
author = {Francesca Maggioni and Sultan Z. Alamri and Carlo F. Barengi and Renzo L. Ricca},
journal= {arXiv preprint arXiv:0904.3658},
year = {2015}
}
Comments
14 pages, 5 figures