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 |
|---|---|
| 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
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 journal › Article
}
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 -