Warm cascades and anomalous scaling in a diffusion model of turbulence

被引：78

作者：

Connaughton, C

Nazarenko, S

机构：

[1] Ecole Normale Super, Phys Stat Lab, CNRS, F-75231 Paris 05, France

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 92卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.92.044501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A phenomenological turbulence model in which the energy spectrum obeys a nonlinear diffusion equation is analyzed. The general steady state contains a nonlinear mixture of the constant-flux Kolmogorov and fluxless thermodynamic components. Such "warm cascade" solutions describe a bottleneck phenomenon of spectrum stagnation near the dissipative scale. Transient self-similar solutions describing a finite-time formation of steady cascades are analyzed and found to exhibit nontrivial scaling behavior.

引用

页码：4 / 445014

页数：4

共 9 条

[1] Spectral transport model for turbulence [J].