Singularity formation in the shape of a vortex sheet in three dimensions-numerical simulation
ESAIM. Proceedings, Tome 1 (1996), pp. 463-479
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The evolution of a small but finite three-dimensional disturbance on a flat uniform vortex sheet is studied numerically on the basis of a Lagrangian representation of the motion. The numerical simulations confirm the asymptotic analysis by Ishihara and Kaneda (1995; J. Fluid Mech., 300, 339-366) for the spontaneous singularity formation in the shape of the vortex sheet. They also suggest that the singularities appear along curves, which have a rather simple dependence on the spanwise-coordinate. Reflecting the three-dimensionality of the vortex dynamics, the singularity-curve is not along any of the vortex lines.
@article{EP_1996_1_a32,
author = {Takashi Ishihara and Yukio Kaneda},
title = {Singularity formation in the shape of a vortex sheet in three dimensions-numerical simulation},
journal = {ESAIM. Proceedings},
pages = {463--479},
year = {1996},
volume = {1},
doi = {10.1051/proc:1996014},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1996014/}
}
TY - JOUR AU - Takashi Ishihara AU - Yukio Kaneda TI - Singularity formation in the shape of a vortex sheet in three dimensions-numerical simulation JO - ESAIM. Proceedings PY - 1996 SP - 463 EP - 479 VL - 1 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1996014/ DO - 10.1051/proc:1996014 LA - en ID - EP_1996_1_a32 ER -
%0 Journal Article %A Takashi Ishihara %A Yukio Kaneda %T Singularity formation in the shape of a vortex sheet in three dimensions-numerical simulation %J ESAIM. Proceedings %D 1996 %P 463-479 %V 1 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:1996014/ %R 10.1051/proc:1996014 %G en %F EP_1996_1_a32
Takashi Ishihara; Yukio Kaneda. Singularity formation in the shape of a vortex sheet in three dimensions-numerical simulation. ESAIM. Proceedings, Tome 1 (1996), pp. 463-479. doi: 10.1051/proc:1996014
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