Chaos and information in two-dimensional turbulence

被引：9

作者：

Clark, Daniel ^{[1
,2
]}

Tarra, Lukas ^{[1
,2
]}

Berera, Arjun ^{[1
,2
]}

机构：

[1] Univ Edinburgh, Sch Phys & Astron, JCMB, Edinburgh EH9 3FD, Midlothian, Scotland

[2] Kings Bldg,Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland

来源：

PHYSICAL REVIEW FLUIDS | 2020年 / 5卷 / 06期

基金：

英国工程与自然科学研究理事会; 英国科学技术设施理事会;

关键词：

LYAPUNOV SPECTRUM; CHARACTERISTIC EXPONENTS; ENERGY-SPECTRUM; DIMENSION; PREDICTABILITY; MODEL; ATTRACTORS; COMPUTATION; CASCADE;

D O I：

10.1103/PhysRevFluids.5.064608

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：

By performing a large number of fully resolved simulations of incompressible homogeneous and isotropic two-dimensional turbulence, we study the scaling behavior of the maximal Lyapunov exponent, the Kolmogorov-Sinai entropy, and attractor dimension. The scaling of the maximal Lyapunov exponent is found to be in good agreement with the dimensional predictions. For the cases of the Kolmogorov-Sinai entropy and attractor dimension, the simple dimensional predictions are found to be insufficient. A dependence on the system size and the forcing length scale is found, suggesting nonuniversal behavior. The applicability of these results to atmospheric predictability is also discussed.

引用

页数：18

共 68 条

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[3]

Batchelor G. K., 1953, The Theory of Homogeneous Turbulence

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