On inertial-range scaling laws-Reference-Cited by-同舟云学术

On inertial-range scaling laws

Published:1996-01-10 Issue: Volume:306 Page:167-181
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Bowman John C.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference25 articles.

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5. Kraichnan, R. H. 1964 Decay of isotropic turbulence in the direct-interaction approximation.Phys. Fluids 7,1030–1047.

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