Group-theoretical model of developed turbulence and renormalization of the Navier-Stokes equation

被引：17

作者：

Saveliev, VL ^{[1
]}

Gorokhovski, MA

机构：

[1] Inst Ionosphere, Alma Ata 480020, Kazakhstan

[2] Univ Rouen, CORIA, UMR 6614, F-76801 St Etienne, France

来源：

PHYSICAL REVIEW E | 2005年 / 72卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.72.016302

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：

On the basis of the Euler equation and its symmetry properties, this paper proposes a model of stationary homogeneous developed turbulence. A regularized averaging formula for the product of two fields is obtained. An equation for the averaged turbulent velocity field is derived from the Navier-Stokes equation by renormalization-group transformation.

引用

页数：6

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