The different equations of motion of the central line of a slender vortex filament and their use to study perturbed vortices
ESAIM. Proceedings, Tome 7 (1999), pp. 270-279
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A comparison between the equation of motion of the central line of a slender vortex filament deduced from a matched asymptotic expansion(A. Callegari and L. Ting) and the expansion of the equation of motion of the ad-hoc cut-off methods(S. Crow) with the cut-off length as the small asymptotic parameter is performed. It justifies the cut-off methods and gives the link between the cut-off lengths and the thickness of a viscous or inviscid vortex with an axial velocity component. The asymptotic equation of motion for an open filament is then simplified in case of a perturbed straight filament and different regimes are displayed. They depend of relatives values of the amplitude of the perturbation and the small thickness of the filament.
@article{EP_1999_7_a24,
author = {D. Margerit and J-P. Brancher},
title = {The different equations of motion of the central line of a slender vortex filament and their use to study perturbed vortices},
journal = {ESAIM. Proceedings},
pages = {270--279},
year = {1999},
volume = {7},
doi = {10.1051/proc:1999025},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1999025/}
}
TY - JOUR AU - D. Margerit AU - J-P. Brancher TI - The different equations of motion of the central line of a slender vortex filament and their use to study perturbed vortices JO - ESAIM. Proceedings PY - 1999 SP - 270 EP - 279 VL - 7 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1999025/ DO - 10.1051/proc:1999025 LA - en ID - EP_1999_7_a24 ER -
%0 Journal Article %A D. Margerit %A J-P. Brancher %T The different equations of motion of the central line of a slender vortex filament and their use to study perturbed vortices %J ESAIM. Proceedings %D 1999 %P 270-279 %V 7 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:1999025/ %R 10.1051/proc:1999025 %G en %F EP_1999_7_a24
D. Margerit; J-P. Brancher. The different equations of motion of the central line of a slender vortex filament and their use to study perturbed vortices. ESAIM. Proceedings, Tome 7 (1999), pp. 270-279. doi: 10.1051/proc:1999025
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