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Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence

Pullin, D. I. and Saffman, P. G. (1994) Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence. Physics of Fluids, 6 (5). pp. 1787-1796. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:PULpof94a

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Abstract

Homogeneous anisotropic turbulence consisting of a collection of straight vortex structures is considered, each with a cylindrically unidirectional, but otherwise arbitrary, internal vorticity field. The orientations of the structures are given by a distribution P of appropriate Euler angles describing the transformation from laboratory to structure-fixed axes. One-dimensional spectra of the velocity components are calculated in terms of P, and the shell-summed energy spectrum. An exact kinematic relation is found in which volume-averaged Reynolds stresses are proportional to the turbulent kinetic energy of the vortex collection times a tensor moment of P. A class of large-eddy simulation models for nonhomogeneous turbulence is proposed based on application of the present results to the calculation of subgrid Reynolds stresses. These are illustrated by the development of a simplified model using a rapid-distortion-like approximation.


Item Type:Article
Additional Information:Copyright © 1994 American Institute of Physics (Received 24 June 1993; accepted 30 December 1993) DIP was partially supported by National Science Foundation Grant No. CTS-9311811 and PGS was partially supported by the Department of energy under Grant No. DE-FG03-89ER25073. The authors have benefited from discussions with Dr. A. Leonard.
Subject Keywords:TURBULENT FLOW; STRESSES; ANISOTROPY; ENERGY SPECTRA; VORTICES; KINETIC ENERGY; TENSORS; DISTRIBUTION FUNCTIONS; HOMOGENEITY; KINEMATICS
Record Number:CaltechAUTHORS:PULpof94a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PULpof94a
Alternative URL:http://dx.doi.org/10.1063/1.868240
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3266
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 May 2006
Last Modified:26 Dec 2012 08:53

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