S. Kishiba et al., INTERACTION OF HELICAL MODES IN FORMATION OF VORTICAL STRUCTURES IN DECAYING ISOTROPIC TURBULENCE, Journal of the Physical Society of Japan, 63(6), 1994, pp. 2133-2148
A transition process from vortex layers into vortex tubes through the
Kelvin-Helmholtz instability in decaying homogeneous turbulence is stu
died numerically in terms of the helical decomposition. For smooth ini
tial conditions high-vorticity regions with positive and negative heli
city generally take the form of blobs. In the early stage with almost
inviscid dynamics these blobs become flatter and layer-like, approachi
ng simultaneously each other. In the next stage a pair of high-vortici
ty strips with opposite-signed helicity attach each other. It forms a
precursor of a vortex tube with an internal dipole structure, which co
rresponds to the surrounding dipoles of high energy-dissipation. At la
ter times two high-vorticity tubes with opposite-signed helicity join
in series into a single vortex tube. They are separated again by the v
iscous diffusion. The recovery to a reflectional symmetry state is als
o studied using a strongly helical initial condition.