@inproceedings{83a000939ab5459298e1fde2c1727cc6,
title = "Vortex self-similarity and the evolution of unforced inviscid two-dimensional turbulence",
abstract = "It has been recognized for some time that the k-3 decay of the energy spectrum in two-dimensional, freely-decaying turbulence, found independently by Batchelor (1969) and Kraichnan (1967), is not sufficient to explain the frequently observed steeper spectra (see for example McWilliams, 1984). The theories on which the k-3 spectrum are based are local in wavenumber space and do not take into account the nonlocal effect of vortices in transporting energy and enstrophy. Since then, several scaling theories have been proposed stressing the importance of vortices for the energy transport in spectral space. Benzi et al. (1988,1992) linked the statistics of vortex populations to the energy spectrum. They numerically fitted an algebraically decaying vortex population with number density (where n(A, t)dA gives the average number of vortices with areas between A and A + dA over a sample area As in the plane) to deduce that the energy spectrum associated with the vortices decays more steeply than predicted by the Batchelor scaling.",
keywords = "Energy Spectrum, Point Vortex, Spectral Space, Spectral Transition, Temporal Scaling",
author = "Dritschel, \{D. G.\} and Scott, \{R. K.\} and C. Macaskill and Gottwald, \{G. A.\} and Tran, \{C. V.\}",
year = "2009",
doi = "10.1007/978-3-642-03085-7\_111",
language = "English",
isbn = "9783642030840",
series = "Springer Proceedings in Physics",
publisher = "Springer Science and Business Media",
pages = "461--464",
editor = "Bruno Eckhardt",
booktitle = "Advances in Turbulence XII - Proceedings of the 12th EUROMECH European Turbulence Conference, 2009",
address = "United States",
note = "12th EUROMECH European Turbulence Conference, ETC12 2009 ; Conference date: 07-09-2009 Through 10-09-2009",
}