On inertial-range scaling laws
chao-dyn
2016-08-31 v1 Chaotic Dynamics
Abstract
Inertial-range scaling laws for two- and three-dimensional turbulence are re-examined within a unified framework. A new correction to Kolmogorov's 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.
Keywords
Cite
@article{arxiv.chao-dyn/9507011,
title = {On inertial-range scaling laws},
author = {John C. Bowman},
journal= {arXiv preprint arXiv:chao-dyn/9507011},
year = {2016}
}
Comments
16 pages, postscript (uncompressed, not encoded)