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dc.contributor.authorDritschel, David Gerard
dc.contributor.authorTobias, Steve
dc.identifier.citationDritschel , 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.2012.195en
dc.identifier.otherPURE: 23838294
dc.identifier.otherPURE UUID: ae81c8fa-eff4-4a68-bc84-e0f604a7ce03
dc.identifier.otherScopus: 84865490696
dc.description.abstractIn 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.relation.ispartofJournal of Fluid Mechanicsen
dc.rightsCopyright (c) Cambridge University Press 2012en
dc.subjectComputational methodsen
dc.subjectMHD turbulenceen
dc.subjectTurbulence simulationen
dc.subjectQA Mathematicsen
dc.titleTwo-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limiten
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Scottish Oceans Instituteen
dc.contributor.institutionUniversity of St Andrews. Marine Alliance for Science & Technology Scotlanden
dc.description.statusPeer revieweden

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