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 dc.contributor.author Dritschel, David Gerard dc.contributor.author Tobias, Steve dc.date.accessioned 2013-06-13T23:32:45Z dc.date.available 2013-06-13T23:32:45Z dc.date.issued 2012-07-01 dc.identifier.citation Dritschel , D G & Tobias , S 2012 , ' Two-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limit ' Journal of Fluid Mechanics , vol 703 , pp. 85-98 . DOI: 10.1017/jfm.2012.195 en dc.identifier.issn 0022-1120 dc.identifier.other PURE: 23838294 dc.identifier.other PURE UUID: ae81c8fa-eff4-4a68-bc84-e0f604a7ce03 dc.identifier.uri http://hdl.handle.net/10023/3698 dc.description.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. en dc.format.extent 14 en dc.language.iso eng dc.relation.ispartof Journal of Fluid Mechanics en dc.rights Copyright (c) Cambridge University Press 2012 en dc.subject Computational methods en dc.subject MHD turbulence en dc.subject Turbulence simulation en dc.subject QA Mathematics en dc.subject.lcc QA en dc.title Two-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limit en dc.type Journal article en dc.description.version Publisher PDF en dc.contributor.institution University of St Andrews. Applied Mathematics en dc.contributor.institution University of St Andrews. Scottish Oceans Institute en dc.contributor.institution University of St Andrews. Marine Alliance for Science & Technology Scotland en dc.identifier.doi http://dx.doi.org/10.1017/jfm.2012.195 dc.description.status Peer reviewed en dc.date.embargoedUntil 14-06-20