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Published February 1, 1994 | public
Journal Article Open

Anisotropy of the Lundgren–Townsend model of fine-scale turbulence

Abstract

The effect of a statistically anisotropic distribution of stretched vortices in the Lundgren-Townsend model of the fine-scale structure of homogeneous turbulence is considered. Lundgren's argument that anisotropy does not affect the three-dimensional energy spectrum is confirmed. Examples of velocity derivative moments and one-dimensional vorticity spectra are worked out for the case of an axisymmetric probability distribution. It is found that scaling of three-dimensional vorticity spectra may not be visible in the one-dimensional spectra.

Additional Information

Copyright © 1994 American Institute of Physics. Received 9 March 1993; accepted 3 June 1993. PGS wishes to thank the Center for Turbulence Research, Stanford University and NASA Ames, for hospitality while part of the work described here was carried out. He also wishes to thank the U.S. Department of Energy for partial support under Grant No. DE-FGO3-89ER25073.

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