dorsal/arxiv
View SchemaNumerical evidence of breaking of vortex lines in an ideal fluid
| Authors | E. A. Kuznetsov, O. M. Podvigina, V. A. Zheligovsky |
|---|---|
| Categories | |
| ArXiv ID | physics/0110046 |
| URL | https://arxiv.org/abs/physics/0110046 |
| Journal | Tubes, sheets and singularities in fluid dynamics. Fluid mechanics and its applications, Vol. 71. Eds. K. Bajer, H.K. Moffatt. Kluwer, 2003, 305-316 |
Abstract
Emergence of singularity of vorticity at a single point, not related to any symmetry of the initial distribution, has been demonstrated numerically for the first time. Behavior of the maximum of vorticity near the point of collapse closely follows the dependence 1/(t0-t), where t0 is the time of collapse. This agrees with the interpretation of collapse in an ideal incompressible fluid as of the process of vortex lines breaking.
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"abstract": "Emergence of singularity of vorticity at a single point, not related to any\nsymmetry of the initial distribution, has been demonstrated numerically for the\nfirst time. Behavior of the maximum of vorticity near the point of collapse\nclosely follows the dependence 1/(t0-t), where t0 is the time of collapse. This\nagrees with the interpretation of collapse in an ideal incompressible fluid as\nof the process of vortex lines breaking.",
"arxiv_id": "physics/0110046",
"authors": [
"E. A. Kuznetsov",
"O. M. Podvigina",
"V. A. Zheligovsky"
],
"categories": [
"physics.flu-dyn",
"nlin.CD"
],
"journal_ref": "Tubes, sheets and singularities in fluid dynamics. Fluid mechanics\n and its applications, Vol. 71. Eds. K. Bajer, H.K. Moffatt. Kluwer, 2003,\n 305-316",
"title": "Numerical evidence of breaking of vortex lines in an ideal fluid",
"url": "https://arxiv.org/abs/physics/0110046"
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