dorsal/arxiv
View SchemaUniversal Distribution of Centers and Saddles in Two-Dimensional Turbulence
| Authors | Michael Rivera, Xiao-Lun Wu, Chuck Yeung |
|---|---|
| Categories | |
| ArXiv ID | physics/0012051 |
| URL | https://arxiv.org/abs/physics/0012051 |
| DOI | 10.1103/PhysRevLett.87.044501 |
Abstract
The statistical properties of the local topology of two-dimensional turbulence are investigated using an electromagnetically forced soap film. The local topology of the incompressible 2D flow is characterized by the Jacobian determinant \Lambda(x,y) = (\omega^2 - \sigma^2)/4, where \omega (x,y) is the local vorticity and \sigma (x,y) is the local strain rate. For turbulent flows driven by different external force configurations, P(\Lambda) is found to be a universal function when rescaled using the turbulent intensity. A simple model that agrees with the measured functional form of P(\Lambda) is constructed using the assumption that the stream function, \psi(x,y), is a Gaussian random field.
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"abstract": "The statistical properties of the local topology of two-dimensional\nturbulence are investigated using an electromagnetically forced soap film. The\nlocal topology of the incompressible 2D flow is characterized by the Jacobian\ndeterminant \\Lambda(x,y) = (\\omega^2 - \\sigma^2)/4, where \\omega (x,y) is the\nlocal vorticity and \\sigma (x,y) is the local strain rate. For turbulent flows\ndriven by different external force configurations, P(\\Lambda) is found to be a\nuniversal function when rescaled using the turbulent intensity. A simple model\nthat agrees with the measured functional form of P(\\Lambda) is constructed\nusing the assumption that the stream function, \\psi(x,y), is a Gaussian random\nfield.",
"arxiv_id": "physics/0012051",
"authors": [
"Michael Rivera",
"Xiao-Lun Wu",
"Chuck Yeung"
],
"categories": [
"physics.flu-dyn",
"cond-mat"
],
"doi": "10.1103/PhysRevLett.87.044501",
"title": "Universal Distribution of Centers and Saddles in Two-Dimensional Turbulence",
"url": "https://arxiv.org/abs/physics/0012051"
},
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