### 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 language | English |
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Pages (from-to) | 2385-2397 |

Number of pages | 13 |

Journal | Physics of Fluids |

Volume | 15 |

Issue number | 8 |

DOIs | |

Publication status | Published - Aug 1 2003 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physics of Fluids*,

*15*(8), 2385-2397. https://doi.org/10.1063/1.1588307

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

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 15, no. 8, pp. 2385-2397. https://doi.org/10.1063/1.1588307

}

TY - JOUR

T1 - Anistropic spectrum of homogeneous turbulent shear flow in a Lagrangian renormalized approximation

AU - Yoshida, Kyo

AU - Ishihara, Takashi

AU - Kaneda, Yukio

PY - 2003/8/1

Y1 - 2003/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0041782611&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041782611&partnerID=8YFLogxK

U2 - 10.1063/1.1588307

DO - 10.1063/1.1588307

M3 - Article

AN - SCOPUS:0041782611

VL - 15

SP - 2385

EP - 2397

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 8

ER -