A Numerical Model of Hydromagnetic Turbulence

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Abstract
A kinematic numerical model of two-dimensional hydromagnetic turbulence is developed to investigate the amplification of an externally maintained seed magnetic field under the action of fluid motions of varying magnetic Reynolds number. The dependence of the degree of amplification of the mean square field on the Reynolds number is found to agree approximately with the order of magnitude estimate given. In astrophysical applications an initially weak magnetic field may often be amplified to equipartition with the velocity field. The model is applied to the problem of the expulsion of flux from a turbulent region in a conducting fluid, and it is suggested that some flux may always remain in such a region. The turbulent dynamo problem is briefly discussed.

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