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Kinetic energy of vortex knots and unknots

Lookup NU author(s): Sultan Alamri, Professor Carlo Barenghi

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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. © Società Italiana di Fisica.

Publication metadata

Author(s): Maggioni F, Alamri S, Barenghi C, Ricca R

Publication type: Article

Publication status: Published

Journal: Nuovo Cimento della Societa Italiana di Fisica C

Year: 2009

Volume: 32

Issue: 1

Pages: 133-142

ISSN (print): 1124-1896

ISSN (electronic): 1826-9885

Publisher: Societa Italiana di Fisica (SIF)

URL: http://dx.doi.org/10.1393/ncc/i2009-10351-6

DOI: 10.1393/ncc/i2009-10351-6

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