Extended self-similarity and hierarchical structure in turbulence

被引：17

作者：

Ching, ESC ^{[1
]}

She, ZS

Su, WD

Zou, ZP

机构：

[1] Chinese Univ Hong Kong, Dept Phys, Shatin, Hong Kong, Peoples R China

[2] Peking Univ, Dept Engn Sci & Mech, State Key Lab Turbulence Res, Beijing 100871, Peoples R China

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

PHYSICAL REVIEW E | 2002年 / 65卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.65.066303

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 show that a generalization of the She-Leveque hierarchical structure [Z.S. She and E. Leveque, Phys. Rev. Lett. 72, 336 (1994)] together with a constant maximum magnitude of the velocity difference give rise to the extended self-similarity (ESS) [R. Benzi , Phy. Rev. E 48, R29 (1993)]. Our analysis thus suggests that the ESS measured in turbulent flows is an indication of the most intense structures being shocklike. Analyses of velocity measurements in a turbulent pipe flow support our conjecture.

引用

页码：1 / 066303

页数：4

共 28 条

[1] Extended self-similarity in boundary layer turbulence [J].

Amati, G ;

Benzi, R ;

Succi, S .

PHYSICAL REVIEW E, 1997, 55 (06) :6985-6988

[2] EXTENDED SELF-SIMILARITY IN THE DISSIPATION RANGE OF FULLY-DEVELOPED TURBULENCE [J].

BENZI, R ;

CILIBERTO, S ;

BAUDET, C ;

CHAVARRIA, GR ;

TRIPICCIONE, R .

EUROPHYSICS LETTERS, 1993, 24 (04) :275-279

[3] Generalized scaling in fully developed turbulence [J].

Benzi, R ;

Biferale, L ;

Ciliberto, S ;

Struglia, MV ;

Tripiccione, R .

PHYSICA D, 1996, 96 (1-4) :162-181

[4] On the intermittent energy transfer at viscous scales in turbulent flows. [J].

Benzi, R ;

Biferale, L ;

Ciliberto, S ;

Struglia, MV ;

Tripiccione, R .

EUROPHYSICS LETTERS, 1995, 32 (09) :709-713

[5] ON THE SCALING OF 3-DIMENSIONAL HOMOGENEOUS AND ISOTROPIC TURBULENCE [J].

BENZI, R ;

CILIBERTO, S ;

BAUDET, C ;

CHAVARRIA, GR .

PHYSICA D, 1995, 80 (04) :385-398

[6] EXTENDED SELF-SIMILARITY IN TURBULENT FLOWS [J].

BENZI, R ;

CILIBERTO, S ;

TRIPICCIONE, R ;

BAUDET, C ;

MASSAIOLI, F ;

SUCCI, S .

PHYSICAL REVIEW E, 1993, 48 (01) :R29-R32

[7] Universal statistics of nonlinear energy transfer in turbulent models [J].

Benzi, R ;

Biferale, L ;

Trovatore, E .

PHYSICAL REVIEW LETTERS, 1996, 77 (15) :3114-3117

[8] Extended self-similarity in numerical simulations of three-dimensional anisotropic turbulence [J].

Benzi, R ;

Struglia, MV ;

Tripiccione, R .

PHYSICAL REVIEW E, 1996, 53 (06) :R5565-R5568

[9] Hierarchy of transverse structure functions [J].

Camussi, R ;

Benzi, R .

PHYSICS OF FLUIDS, 1997, 9 (02) :257-259

[10] HIERARCHY OF THE ENERGY-DISSIPATION MOMENTS IN FULLY-DEVELOPED TURBULENCE [J].

CHAVARRIA, GR ;

BAUDET, C ;

CILIBERTO, S .

PHYSICAL REVIEW LETTERS, 1995, 74 (11) :1986-1989

← 1 2 3 →