Statistics of the Inertial Energy Transfer Range in d-Dimensional Turbulence (2 ≤ d ≤ 3) in a Lagrangian Renormalized Approximation

被引：1

作者：

Gotoh, Toshiyuki ^{[1
,2
]}

Kaneda, Yukio ^{[3
]}

机构：

[1] Nagoya Inst Technol, Grad Sch Engn, Dept Engn Phys, Nagoya 4668555, Japan

[2] Keio Univ, Res & Educ Ctr Nat Sci, Yokohama 2238521, Japan

[3] Nagoya Univ, Grad Sch Math, Nagoya 4648602, Japan

来源：

ATMOSPHERE | 2023年 / 14卷 / 06期

关键词：

d-dimensional turbulence; inertial energy transfer range; Lagrangian renormalized approximation; 2-DIMENSIONAL TURBULENCE; VELOCITY;

D O I：

10.3390/atmos14061053

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

Statistics in the inertial energy transfer range (IETR) of d-dimensional turbulence (2 <= d <= 3) are studied using a Lagrangian renormalized approximation (LRA). The LRA suggests that the energy spectrum in the IETR is given by K-d vertical bar(epsilon) over bar vertical bar(2/3)k(-5/3), where K-d is a constant and (epsilon) over bar is the energy flux across wave-number k; the energy transfer is forward for d(c) < d <= 3 but inverse for 2 <= d < d(c), where d(c) approximate to 2.065; at d = d(c), K-d diverges and the skewness of the longitudinal velocity difference vanishes; and the d-dependence of the two-time Lagrangian velocity correlation spectra under appropriate normalization is weak in the IETR.

引用

页数：11