Trefoil knot timescales for reconnection and helicity
نویسندگان
چکیده
منابع مشابه
A Spacefilling Trefoil Knot
This note describes a (polyhedral) prototile which is topologically equivalent to a trefoil knot and admits a (monohedral) tiling of 3-space.
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Helicity, a measure of the linkage of flux lines, has subtle and largely unknown effects upon dynamics. Both magnetic and hydrodynamic helicity are conserved for ideal systems and could suppress nonlinear dynamics. What actually happens is not clear because in a fully three-dimensional system there are additional channels whereby intense, small-scale dynamics can occur. This contribution shows ...
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The reconnection of a trefoil vortex knot is examined numerically to determine how its helicity and two of its vorticity norms behave. During an initial phase, the helicity is remarkably preserved, as reported in recent experiments (Scheeler et al. 2014a). In addition, the enstrophy (Z) has self-similar growth where all √ νZ(t) converge at a viscosity-independent time tx. This effect requires t...
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ژورنال
عنوان ژورنال: Fluid Dynamics Research
سال: 2018
ISSN: 0169-5983,1873-7005
DOI: 10.1088/1873-7005/aa8163