Anistropic spectrum of homogeneous turbulent shear flow in a Lagrangian renormalized approximation

Kyo Yoshida, Takashi Ishihara, Yukio Kaneda

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

An analytical study of the anisotropic velocity correlation spectrum tensor in the inertial subrange of homogeneous turbulent shear 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; theoritical 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.

Original languageEnglish
Pages (from-to)2385-2397
Number of pages13
JournalPhysics of Fluids
Volume15
Issue number8
DOIs
Publication statusPublished - Aug 1 2003
Externally publishedYes

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shear flow
approximation
direct numerical simulation
closures
Reynolds number
turbulence
tensors
estimates

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Anistropic spectrum of homogeneous turbulent shear flow in a Lagrangian renormalized approximation. / Yoshida, Kyo; Ishihara, Takashi; Kaneda, Yukio.

In: Physics of Fluids, Vol. 15, No. 8, 01.08.2003, p. 2385-2397.

Research output: Contribution to journalArticle

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