Pullin, D. I. and Saffman, P. G. (1995) Vortex models of the fine scales of turbulence. In: Small-Scale Structures in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence. Lecture Notes in Physics. No.462. Springer , Berlin, pp. 61-74. ISBN 978-3-540-60486-0. https://resolver.caltech.edu/CaltechAUTHORS:20210125-155052849
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Abstract
We survey the current status, prospects and problems of vortex models of the fine scales of turbulence. We begin with the attempt by Synge and Lin in the 1940's to calculate the longitudinal velocity correlation for isotropic tubulence using an ensemble of Hill's spherical vortices. A discussion of models based on the Burgers vortex is followed by a detailed description of the use of an ensemble of randomly oriented stretched spiral-vortex solutions of the Navier-Stokes equations to predict/postdict several small-scale properties of stationary homogeneous tubulence at large wavenumber. These include the spectra of various quantities and the one-point velocity gradient statistics.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © Springer-Verlag Berlin Heidelberg 1995. DIP was partially supported by NSF Grant CTS-9311811 and PGS was partially supported by the Department of Energy under Grant No. DE-FG03-89ER25073. | |||||||||
| Group: | GALCIT | |||||||||
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| Subject Keywords: | Probability Density Function; Isotropic Turbulence; Vorticity Field; Inertial Range; Vorticity Distribution | |||||||||
| Series Name: | Lecture Notes in Physics | |||||||||
| Issue or Number: | 462 | |||||||||
| DOI: | 10.1007/BFb0102400 | |||||||||
| Record Number: | CaltechAUTHORS:20210125-155052849 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210125-155052849 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 107721 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 26 Jan 2021 18:36 | |||||||||
| Last Modified: | 16 Nov 2021 19:05 |
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