SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS

V. L. Okulov; Ya. Fukumoto

doi:10.1134/s0021894421030196

SINGULAR APPROXIMATIONS FOR CALCULATING VORTEX FILAMENTS

Journal of Applied Mechanics and Technical Physics ◽

10.1134/s0021894421030196 ◽

2021 ◽

Vol 62 (3) ◽

pp. 519-524

Author(s):

V. L. Okulov ◽

Ya. Fukumoto

Keyword(s):

Vortex Filaments

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Cascades and reconnection in interacting vortex filaments

Physical Review Fluids ◽

10.1103/physrevfluids.6.074701 ◽

2021 ◽

Vol 6 (7) ◽

Author(s):

Rodolfo Ostilla-Mónico ◽

Ryan McKeown ◽

Michael P. Brenner ◽

Shmuel M. Rubinstein ◽

Alain Pumir

Keyword(s):

Vortex Filaments

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Numerical studies of motion and decay of vortex filaments

AIAA Journal ◽

10.2514/3.9434 ◽

1986 ◽

Vol 24 (8) ◽

pp. 1290-1297 ◽

Cited By ~ 10

Author(s):

C. H. Liu ◽

John Tavantzis ◽

Lu Ting

Keyword(s):

Vortex Filaments ◽

Numerical Studies

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Dynamics of Corotating Vortex Filaments Part 1: Analytical Model

Journal of Aircraft ◽

10.2514/1.22229 ◽

2006 ◽

Vol 43 (5) ◽

pp. 1434-1439 ◽

Cited By ~ 1

Author(s):

Teresa S. Miller ◽

Linda K. Kliment ◽

Kamran Rokhsaz

Keyword(s):

Analytical Model ◽

Vortex Filaments

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Jumps in pulsar angular velocity and their relaxation with allowance for pinning and depinning of quantum vortex filaments

Astrophysics ◽

10.1007/bf02077207 ◽

1996 ◽

Vol 39 (4) ◽

pp. 351-358 ◽

Cited By ~ 1

Author(s):

D. M. Sedrakian ◽

M. V. Airapetian

Keyword(s):

Angular Velocity ◽

Vortex Filaments ◽

Quantum Vortex

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On the curvature and torsion of an isolated vortex filament

Journal of Fluid Mechanics ◽

10.1017/s0022112065000915 ◽

1965 ◽

Vol 22 (3) ◽

pp. 471-479 ◽

Cited By ~ 110

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.

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