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Forced Alfvén-wave turbulence and subgrid-scale closure

Published online by Cambridge University Press:  13 March 2009

Ye Zhou  and
George Vahala
Ye Zhou
Affiliation:
Bartol Research Institute, University of Delaware, Newark, Delaware 19716, U.S.A.
George Vahala
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Virginia 23185, U.S.A.
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Abstract

The renormalization-group method is applied to the problem of forced turbulence in the simplified Alfvén model of Chen and Mahajan. The effects of small unresolvable subgrid modes on the large-scale turbulence leads to a renormalized response function ε. In certain limits, the resulting recursion relation for the response function can be converted into a differential equation that can be solved analytically. For Gaussian forcing terms satisfying a power-law wavenumber correlation k–y but white-noise frequency spectrum, it is found that the response function exhibits second-harmonic generation of waves at frequency ω = 2ΛvA for all exponents y ≥ 0, where Λ is the wavenumber separating the subgrid and supergrid modes.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 1 , February 1989 , pp. 67 - 81
Copyright
Copyright © Cambridge University Press 1989

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References

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