# Two-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limit

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### Abstract

In this paper we introduce a new method for computations of
two-dimensional magnetohydrodynamic (MHD) turbulence at low magnetic
Prandtl number $\Pra=\nu/\eta$. When $\Pra \ll 1$, the magnetic field
dissipates at a scale much larger than the velocity field. The method
we utilise is a novel hybrid contour--spectral method, the Combined
Lagrangian Advection Method'', formally to integrate the equations
with zero viscous dissipation. The method is compared with a standard
pseudo-spectral method for decreasing $\Pra$ for the problem of
decaying two-dimensional MHD turbulence. The method is shown to agree
well for a wide range of imposed magnetic field strengths. Examples of
problems for which such a method may prove invaluable are also given.
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### Details

Original language English 85-98 14 Journal of Fluid Mechanics 703 14 Jun 2012 10.1017/jfm.2012.195 Published - 1 Jul 2012

### Research areas

• Computational methods, MHD turbulence, Turbulence simulation

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1. ## Journal of Fluid Mechanics (Journal)

David Gerard Dritschel (Editor)
2005 → …

Activity: Publication peer-review and editorial work typesEditor of research journal

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