Published October 15, 1997
| Version public
Journal Article
Vortex models of isotropic turbulence
Abstract
The prospects of vortex models of the fine scales of isotropic turbulence are surveyed. These begin with the calculation by Synge & Lin in 1943 of longitudinal velocity correlations, using an ensemble of Hill spherical vortices, and are followed by the work of Townsend in 1951, employing Burgers vortices to study dissipation range scales. Recent developments by the author and Professor D. I. Pullin based on Lundgren's 1982 work on randomly orientated stretched spiral vortex solutions of the Navier—Stokes equations, for the calculation of higher order moments of one–point velocity gradient statistics and longitudinal velocity correlation functions, will be considered.
Additional Information
© 1997 The Royal Society. Preface to Vortices, dislocations, and line singularities in partial differential equations, the proceedings of a Discussion held at The Royal Society on 8 and 9 October 1996. Organized and edited by S. J. Chapman, C. M. Elliott, A. K. Head, S. D. Howison, F. M. Leslie and J. R. Ockendon. I thank Professor D. I. Pullin for the benefit of an extensive collaboration on the present work. Partial support by the Department of Energy under Grant no. DE-FG03-89ER25073 is also appreciated.Additional details
Identifiers
- Eprint ID
- 105649
- DOI
- 10.1098/rsta.1997.0097
- Resolver ID
- CaltechAUTHORS:20200929-143507199
Related works
- Describes
- 10.1098/rsta.1997.0097 (DOI)
Funding
- Department of Energy (DOE)
- DE-FG03-89ER25073
Dates
- Created
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2020-09-30Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field