Hierarchical coupled map lattices as cascade models for hydrodynamical turbulence

被引：16

作者：

Hilgers, A

Beck, C

机构：

[1] Rhein Westfal TH Aachen, Inst Theoret Phys, D-52056 Aachen, Germany

[2] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

来源：

EUROPHYSICS LETTERS | 1999年 / 45卷 / 05期

关键词：

D O I：

10.1209/epl/i1999-00199-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider hierarchical coupled map lattices as models for hydrodynamical turbulence at large Reynolds numbers. These lattice dynamical systems allow for an efficient simulation of spatio-temporal stochastic processes that have properties similar to those of fully developed turbulent flows. Relative scaling exponents and probability densities are calculated. They are in very good agreement with turbulence experiments. Some visualisations of spatiotemporal flow patterns are presented.

引用

页码：552 / 557

页数：6

共 17 条

[1] HIGH-ORDER VELOCITY STRUCTURE FUNCTIONS IN TURBULENT SHEAR FLOWS [J].

ANSELMET, F ;

GAGNE, Y ;

HOPFINGER, EJ ;

ANTONIA, RA .

JOURNAL OF FLUID MECHANICS, 1984, 140 (MAR) :63-89

[2] CHAOTIC CASCADE MODEL FOR TURBULENT VELOCITY DISTRIBUTIONS [J].

BECK, C .

PHYSICAL REVIEW E, 1994, 49 (05) :3641-3652

[3] 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

[4] 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

[5] MOLECULAR-DYNAMICS WITH COUPLING TO AN EXTERNAL BATH [J].

BERENDSEN, HJC ;

POSTMA, JPM ;

VANGUNSTEREN, WF ;

DINOLA, A ;

HAAK, JR .

JOURNAL OF CHEMICAL PHYSICS, 1984, 81 (08) :3684-3690

[6] Scalings and relative scalings in the Navier-Stokes turbulence [J].

Cao, NZ ;

Chen, SY ;

She, ZS .

PHYSICAL REVIEW LETTERS, 1996, 76 (20) :3711-3714

[7] VELOCITY PROBABILITY DENSITY-FUNCTIONS OF HIGH REYNOLDS-NUMBER TURBULENCE [J].

CASTAING, B ;

GAGNE, Y ;

HOPFINGER, EJ .

PHYSICA D, 1990, 46 (02) :177-200

[8]

Hilgers A, 1997, AIP CONF PROC, P11, DOI 10.1063/1.54181

[9] Turbulent behavior of stock exchange indices and foreign currency exchange rates [J].

Hilgers, A ;

Beck, C .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (08) :1855-1859

[10] THE LOCAL-STRUCTURE OF TURBULENCE IN INCOMPRESSIBLE VISCOUS-FLUID FOR VERY LARGE REYNOLDS-NUMBERS [J].

KOLMOGOROV, AN .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 434 (1890) :9-13

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