Studies on the motion and decay of a vortex filament

2005 ◽  
pp. 67-105 ◽  
Author(s):  
L. Ting
Keyword(s):  
Vortex Filament

Magnetic helicity and electromagnetic vortex filament flows under the influence of Lorentz force in MHD

Optik ◽  
2021 ◽  
pp. 167302
Author(s):  
Talat Körpınar ◽  
Rıdvan Cem Demirkol ◽  
Zeliha Körpınar
Keyword(s):  
Lorentz Force ◽  
Vortex Filament ◽  
Magnetic Helicity

Vortex Filament Simulation of the Turbulent Boundary Layer

AIAA Journal ◽  
2010 ◽  
Vol 48 (8) ◽  
pp. 1757-1771 ◽  
Author(s):  
Peter S. Bernard ◽  
Pat Collins ◽  
Mark Potts
Keyword(s):  
Boundary Layer ◽  
Turbulent Boundary Layer ◽  
Vortex Filament

Dynamics of a vortex filament in a shear flow

1984 ◽  
Vol 148 ◽  
pp. 477-497 ◽  
Author(s):  
Hassan Aref ◽  
Edward P. Flinchem
Keyword(s):  
Mixing Layer ◽  
Background Field ◽  
Nucleation Site ◽  
Finite Amplitude ◽  
Vortex Filament ◽  
Attractive Alternative ◽  
Morphological Similarity ◽  
Single Vortex ◽  
Linearized Stability ◽  
Model Equations

Motions of a single vortex filament in a background flow are studied by numerical simulation of a set of model equations. The model, which in essence is due to Hama, treats the self-interaction of the filament through the so-called ‘localized-induction approximation’ (LIA). Interaction with the prescribed background field is treated by simply advecting the filament appropriately. We are particularly interested in elucidating the evolution of sinuous vortices such as the ‘wiggle’ seen by Breidenthal in the transition to three-dimensionality in the mixing layer. The model studied embodies two of the simplest ingredients that must enter into any dynamical explanation: induction and advection. For finite-amplitude phenomena we make contact with the theory of solitons on strong vortices developed by Betchov and Hasimoto. In a shear, solitons cannot exist, but solitary waves can, and their interactions with the shear are found to be key ingredients for an understanding of the behaviour of the vortex filament. When sheared, a soliton seems to act as a ‘nucleation site’ for the generation of a family of waves. Computed sequences are shown that display a remarkable morphological similarity to flow-visualization studies. The present application of fully nonlinear dynamics to a model presents an attractive alternative to the extrapolations from linearized stability theory applied to the full equations that have so far constituted the theoretical basis for understanding the experimental results.

scholarly journals About the non-standard viewpoint on the dynamics of closed vortex filament

2018 ◽  
Vol 32 (33) ◽  
pp. 1850410 ◽  
Author(s):  
S. V. Talalov
Keyword(s):  
Phase Space ◽  
Effective Mass ◽  
Explicit Formula ◽  
Vortex Filament ◽  
Hamiltonian Description ◽  
Suggested Approach ◽  
Galilei Group ◽  
Filament Dynamics

In this paper, we construct the Hamiltonian description of the closed vortex filament dynamics in terms of non-standard variables, phase space and constraints. The suggested approach makes obvious interpretation of the considered system as a structured particle that possesses certain external and internal degrees of the freedom. The constructed theory is invariant under the transformation of Galilei group. The appearance of this group allows for a new viewpoint on the energy of a closed vortex filament with zero thickness. The explicit formula for the effective mass of the structured particle “closed vortex filament” is suggested.

On the curvature and torsion of an isolated vortex filament

1965 ◽  
Vol 22 (3) ◽  
pp. 471-479 ◽  
Author(s):  
Robert Betchov
Keyword(s):  
Vortex Filament ◽  
Inviscid Fluid ◽  
Arc Length ◽  
Local Curvature ◽  
Vortex Filaments ◽  
Non Linear ◽  
Curvature And Torsion

We consider a very thin vortex filament in an unbounded, incompressible and inviscid fluid. The filament is not necessarily plane. Each portion of the filament moves with a velocity that can be approximated in terms of the local curvature of the filament. This approximation leads to a pair of intrinsic equations giving the curvature and the torsion of the filament, as functions of the time and the arc length along the filament. It is found that helicoidal vortex filaments are elementary solutions, and that they are unstable.The intrisic equations also suggest a linear mechanism that tends to produce concentrated torsion and a non-linear mechanism tending to disperse such singularities.

On Kida Class Of Vortex Filament Motions

1989 ◽  
pp. 389-398
Author(s):  
Adam Doliwa ◽  
Antoni Sym
Keyword(s):  
Vortex Filament
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