Intermittency and scale-dependent statistics in fully developed turbulence

被引:24
|
作者
Yoshimatsu, Katsunori [1 ]
Okamoto, Naoya [1 ]
Schneider, Kai [2 ,3 ]
Kaneda, Yukio [1 ]
Farge, Marie [4 ]
机构
[1] Nagoya Univ, Dept Computat Sci & Engn, Nagoya, Aichi 4648603, Japan
[2] M2P2 CNRS, F-13451 Marseille 20, France
[3] Univ Aix Marseille, F-13451 Marseille 20, France
[4] Ecole Normale Super, CNRS, LMD IPSL, F-75231 Paris 05, France
来源
PHYSICAL REVIEW E | 2009年 / 79卷 / 02期
关键词
flow simulation; numerical analysis; random processes; statistical analysis; turbulence; DIRECT NUMERICAL SIMULATIONS; ENERGY-DISSIPATION; HELICITY;
D O I
10.1103/PhysRevE.79.026303
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Fully developed homogeneous isotropic turbulent fields, computed by direct numerical simulation, are compared to divergence-free random fields having the same energy spectrum and either the same helicity spectrum as that of the turbulent data, or vanishing helicity. We show that the scale-dependent velocity flatness quantifies the spatial variability of the energy spectrum. The flatness exhibits a substantial increase at small scales for the turbulent field, but remains constant for the random fields. A diagnostic, the scale-dependent helicity, is proposed to quantify the geometrical statistics of the flow, which shows that only the turbulent flow is intermittent. Finally, statistical scale-dependent analyses of both Eulerian and Lagrangian accelerations confirm the inherently different dynamics of turbulent and random flows.
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页数:5
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