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On inertial-range scaling laws

Published online by Cambridge University Press:  26 April 2006

John C. Bowman
John C. Bowman
Affiliation:
Institute for Fusion Studies, The University of Texas, Austin, TX 78712, USA
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 306 , 10 January 1996 , pp. 167 - 181
Copyright
© 1996 Cambridge University Press

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