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 2003 |
ASJC Scopus subject areas
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes
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Yoshida, K., Ishihara, T., & Kaneda, Y. (2003). Anistropic spectrum of homogeneous turbulent shear flow in a Lagrangian renormalized approximation. Physics of Fluids, 15(8), 2385-2397. https://doi.org/10.1063/1.1588307