Binary tree models of high-Reynolds-number turbulence

被引：12

作者：

Aurell, E

Dormy, E

Frick, P

机构：

[1] KTH,PDC,S-10044 STOCKHOLM,SWEDEN

[2] ENS,LMD,F-75005 PARIS,FRANCE

[3] IPG PARIS,F-75252 PARIS 05,FRANCE

[4] INST CONTINUOUS MEDIA MECH,PERM 614061,RUSSIA

来源：

PHYSICAL REVIEW E | 1997年 / 56卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.56.1692

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：

We consider hierarchical models for turbulence, that are simple generalizations of the! standard Gledzer-Ohkitani-Yamada shell models (E. B. Gledzer, Dokl, Akad, Nauk SSSR 209, 5 (1973) [Sov, Phys, Dokl. 18, 216 (1973)]: M. Yamada and K. Ohkitani, J. Phys. Sec, Jpn. 56, 4210 (1987)). The density of degrees of freedom is constant in wave-number space. Looking only st this behavior and It the quadratic invariants in the inviscid unforced limit, the models can be thought of as systems living naturally in one spatial dimension, but being qualitatively similar to hydrodynamics in two (2D) and three dimensions. We investigated cascade phenomena and intermittency in the different cases, We observed and studied a forward cascade of enstrophy in the 2D case.

引用

页码：1692 / 1698

页数：7

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