dorsal/arxiv
View SchemaVelocity field distributions due to ideal line vortices
| Authors | Thomas S. Levi, David C. Montgomery |
|---|---|
| Categories | |
| ArXiv ID | physics/0102058 |
| URL | https://arxiv.org/abs/physics/0102058 |
| DOI | 10.1103/PhysRevE.63.056311 |
| Journal | Phys. Rev. E 63 5, 2001. |
Abstract
We evaluate numerically the velocity field distributions produced by a bounded, two-dimensional fluid model consisting of a collection of parallel ideal line vortices. We sample at many spatial points inside a rigid circular boundary. We focus on ``nearest neighbor'' contributions that result from vortices that fall (randomly) very close to the spatial points where the velocity is being sampled. We confirm that these events lead to a non-Gaussian high-velocity ``tail'' on an otherwise Gaussian distribution function for the Eulerian velocity field. We also investigate the behavior of distributions that do not have equilibrium mean-field probability distributions that are uniform inside the circle, but instead correspond to both higher and lower mean-field energies than those associated with the uniform vorticity distribution. We find substantial differences between these and the uniform case.
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"abstract": "We evaluate numerically the velocity field distributions produced by a\nbounded, two-dimensional fluid model consisting of a collection of parallel\nideal line vortices. We sample at many spatial points inside a rigid circular\nboundary. We focus on ``nearest neighbor\u0027\u0027 contributions that result from\nvortices that fall (randomly) very close to the spatial points where the\nvelocity is being sampled. We confirm that these events lead to a non-Gaussian\nhigh-velocity ``tail\u0027\u0027 on an otherwise Gaussian distribution function for the\nEulerian velocity field. We also investigate the behavior of distributions that\ndo not have equilibrium mean-field probability distributions that are uniform\ninside the circle, but instead correspond to both higher and lower mean-field\nenergies than those associated with the uniform vorticity distribution. We find\nsubstantial differences between these and the uniform case.",
"arxiv_id": "physics/0102058",
"authors": [
"Thomas S. Levi",
"David C. Montgomery"
],
"categories": [
"physics.flu-dyn",
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.63.056311",
"journal_ref": "Phys. Rev. E 63 5, 2001.",
"title": "Velocity field distributions due to ideal line vortices",
"url": "https://arxiv.org/abs/physics/0102058"
},
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