Anisotropic spectrum of homogeneous turbulent shear flow in a Lagrangian renormalized approximation
Open Access
- 1 August 2003
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 15 (8), 2385-2397
- https://doi.org/10.1063/1.1588307
Abstract
An analytical study of the anisotropic velocity correlation spectrum tensor in the inertial subrange of homogeneous turbulentshear flow is performed using a Lagrangian renormalized spectral closure approximation. The analysis shows that the spectrum in the asymptotic limit of infinitely large Reynolds numbers Re is determined by two nondimensional universal constants; theoretical estimates for the constants are provided. The anisotropic component of the spectrum at finite Re is more sensitive to large-scale turbulence structures than the isotropic component. A preliminary analysis of the effect of finite Re or the width of the inertial subrange is in qualitative agreement with direct numerical simulations.This publication has 36 references indexed in Scilit:
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