Fully Developed Turbulence and the Multifractal Conjecture

被引：24

作者：

Benzi, Roberto

Biferale, Luca ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dept Phys, Rome, Italy

来源：

JOURNAL OF STATISTICAL PHYSICS | 2009年 / 135卷 / 5-6期

关键词：

Eulerian and Lagrangian Turbulence; Multifractals; REYNOLDS-NUMBER; LAGRANGIAN STATISTICS; MODEL;

D O I：

10.1007/s10955-009-9738-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review the Parisi-Frisch (Proc. Int. School of Physics "E. Fermi", pp. 84-87, North-Holland, Amsterdam, 1985) MultiFractal formalism for Navier-Stokes turbulence with particular emphasis on the issue of statistical fluctuations of the dissipative scale. We do it for both Eulerian and Lagrangian Turbulence. We also show new results concerning the application of the formalism to the case of Shell Models for turbulence. The latter case will allow us to discuss the issue of Reynolds number dependence and the role played by vorticity and vortex filaments in real turbulent flows.

引用

页码：977 / 990

页数：14

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