On the existence and scaling of structure functions in turbulence according to the data

被引：15

作者：

Arenas, A

Chorin, AJ ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Lawrence Berkeley Natl Lab, Berkeley, CA 94720 USA

[3] Univ Rovira & Virgili, Dept Engn Informat Matemat, Tarragona 43007, Spain

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2006年 / 103卷 / 12期

关键词：

inertial range; exponents; intermittency;

D O I：

10.1073/pnas.0600482103

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that the higher-order structure functions diverge for orders larger than a certain threshold, as theorized in some recent work. The significance of the results for the statistical theory of homogeneous turbulence is reviewed.

引用

页码：4352 / 4355

页数：4

共 26 条

[1] New perspectives in turbulence: Scaling laws, asymptotics, and intermittency [J].