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Lookup NU author(s): Sultan Alamri,
Professor Carlo Barenghi
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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 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.
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
ISSN (print): 1124-1896
ISSN (electronic): 1826-9885
Publisher: Societa Italiana di Fisica (SIF)
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