On inertial-range scaling laws

被引：30

作者：

Bowman, JC

机构：

[1] Institute for Fusion Studies, University of Texas, Austin

来源：

JOURNAL OF FLUID MECHANICS | 1996年 / 306卷

关键词：

D O I：

10.1017/S0022112096001279

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Inertial-range scaling laws for two- and three-dimensional turbulence are re-examined within a unified framework. A new correction to Kolmogorov's k(-5/3) scaling is derived for the energy inertial range. A related modification is found to Kraichnan's logarithmically corrected two-dimensional enstrophy-range law that removes its unexpected divergence at the injection wavenumber. The significance of these corrections is illustrated with steady-state energy spectra from recent high-resolution closure computations. Implications for conventional numerical simulations are discussed. These results underscore the asymptotic nature of inertial-range scaling laws.

引用

页码：167 / 181

页数：15

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