Quantized Vortex Knots

We have investigated numerically the motion and the stability of quantized vortex knots.

[1]  Samuels.  Velocity matching and Poiseuille pipe flow of superfluid helium. , 1992, Physical review. B, Condensed matter.

[2]  Robert McDougall Kerr,et al.  Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence , 1983, Journal of Fluid Mechanics.

[3]  Smith,et al.  Decay of vorticity in homogeneous turbulence. , 1993, Physical review letters.

[4]  A. Vincent,et al.  The dynamics of vorticity tubes in homogeneous turbulence , 1994, Journal of Fluid Mechanics.

[5]  Steven A. Orszag,et al.  Intermittent vortex structures in homogeneous isotropic turbulence , 1990, Nature.

[6]  J. Gollub,et al.  Vortex Flow in Nature and Technology , 1985 .

[7]  Carlo F. Barenghi,et al.  Friction on quantized vortices in helium II. A review , 1983 .

[8]  C. Barenghi.  Vortex lines and transitions in superfluid hydrodynamics , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[9]  Donnelly,et al.  Dynamics of the interactions of rotons with quantized vortices in helium II. , 1990, Physical review letters.

[10]  Russell J. Donnelly,et al.  Quantized Vortices in Helium II , 1991 .

[11]  Renzo L. Ricca.  Geometric and topological aspects of vortex filament dynamics under LIA , 1995 .

[12]  G. Pedrizzetti,et al.  Vortex Dynamics , 2011 .

[13]  Aarts,et al.  Numerical investigation of the flow properties of He II. , 1994, Physical review. B, Condensed matter.

[14]  P. V. E. McClintock,et al.  Generation of defects in superfluid 4He as an analogue of the formation of cosmic strings , 1994, Nature.

[15]  C. Barenghi.  Vortex Lines in a model of Turbulent Flow , 1997 .

[16]  Schwarz.  Three-dimensional vortex dynamics in superfluid 4He: Homogeneous superfluid turbulence. , 1988, Physical review. B, Condensed matter.

[17]  Eric D. Siggia,et al.  Numerical study of small-scale intermittency in three-dimensional turbulence , 1981, Journal of Fluid Mechanics.