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

Kyo Yoshida, Takashi Ishihara, Yukio Kaneda

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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
Issue number8
Publication statusPublished - Aug 2003


ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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