Abstract:
We develop a general method for constructing knotted vortex/magnetic
tubes with the finite thickness, arbitrary shape, and tunable twist. The
central axis of the knotted tubes is determined by a given smooth and
non-degenerated parametric equation. The helicity of the knotted tubes
can be explicitly decomposed into the writhe, localized torsion, and
intrinsic twist. We construct several knotted vortex/magnetic tubes with
various geometry and topology, and investigate the effect of twist on
their evolution in hydrodynamic or magnetohydrodynamic flows using
direct numerical simulation. In addition, we illustrate a knot cascade
of magnetic field lines through the stepwise reconnection of a pair of
orthogonal helical flux tubes with opposite chirality.
Language: English
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