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physics.flu-dyn2010★ 42 cited
Velocity, energy and helicity of vortex knots and unknots
F. Maggioni, S. Alamri, C. F. Barenghi +1
In this paper we determine the velocity, the energy and estimate writhe and twist helicity contributions of vortex filaments in the shape of torus knots and unknots (toroidal and p…
physics.flu-dyn2009
Kinetic energy of vortex knots and unknots
Francesca Maggioni, Sultan Z. Alamri, Carlo F. Barengi +1
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 (Ri…