Kinetic energy of vortex knots and unknots

Maggioni, Francesca and Alamri, S. Z. and Barenghi, C. F. and Ricca, R. L. (2009) Kinetic energy of vortex knots and unknots. Il nuovo cimento C, 32 (1). pp. 133-142. ISSN 1826-9885

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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 smallamplitude 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.

Item Type: Article
Uncontrolled Keywords: Vortex dynamics ; Vortices and turbulence ; Vortex dynamics; rotating fluids
Subjects: 500 Scienze naturali e Matematica > 510 Matematica
Depositing User: Marina Spanti
Date Deposited: 24 Mar 2020 16:22
Last Modified: 24 Mar 2020 16:22

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