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An ‘ideal’ form of decaying two-dimensional turbulence

Published online by Cambridge University Press:  21 May 2002

TAKAHIRO IWAYAMA ,
THEODORE G. SHEPHERD  and
TAKESHI WATANABE
TAKAHIRO IWAYAMA
Affiliation:
Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada Permanent affiliation: .
THEODORE G. SHEPHERD
Affiliation:
Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
TAKESHI WATANABE
Affiliation:
Graduate School of Science and Technology, Kobe University, Kobe 657-8501, Japan
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Abstract

In decaying two-dimensional Navier–Stokes turbulence, Batchelor's similarity hypothesis fails due to the existence of coherent vortices. However, it is shown that decaying two-dimensional turbulence governed by the Charney–Hasegawa–Mima (CHM) equation

(∂/∂t)(∇2φ−λ2φ) +J(φ, ∇2φ) = D,

where D is a damping, is described well by Batchelor's similarity hypothesis for wave numbers k [Lt ] λ (the so-called AM regime). It is argued that CHM turbulence in the AM regime is a more ‘ideal’ form of two-dimensional turbulence than is Navier–Stokes turbulence itself.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 456 , 10 April 2002 , pp. 183 - 198
Copyright
© 2002 Cambridge University Press

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