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Inverse cascades in incompressible fluid and magnetofluid turbulence

Published online by Cambridge University Press:  13 March 2009

Murshed Hossain
Affiliation:
Bartol Research Institute, University of Delaware, Newark, DE 19716, USA

Abstract

Absolute equilibrium statistical theory and numerical simulations are reviewed in the context of inverse cascades in two- and three-dimensional incompressible fluid and magnetofluid turbulence. Turbulent fluctuations of physically interesting quantities undergo inverse cascade to larger spatial scales, leading to self-organization under certain circumstances. In particular, most systems with more than one quadratic ideal invariant, or, having some kind of imposed anisotropy, exhibit inverse cascades. Anisotropic fluid turbulence in the presence of a uniform rotation and magnetofluid turbulence in the presence of a uniform magnetic field are considered.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

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