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
Maggioni, F., Alamri, S., Barenghi, C., Ricca, R. (2009). Kinetic energy of vortex knots and unknots. NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. C, GEOPHYSICS AND SPACE PHYSICS, 32, 133-142 [10.1393/ncc/i2009-10351-6].
Kinetic energy of vortex knots and unknots
RICCA, RENZO
2009
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 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
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