Skip to content

Research at St Andrews

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

Research output: Contribution to journalArticle

DOI

Open Access permissions

Open

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.
Close

Details

Original languageEnglish
Pages (from-to)85-98
Number of pages14
JournalJournal of Fluid Mechanics
Volume703
Early online date14 Jun 2012
DOIs
StatePublished - 1 Jul 2012

    Research areas

  • Computational methods, MHD turbulence, Turbulence simulation

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. On the regularity of the Green-Naghdi equations for a rotating shallow fluid layer

    Dritschel, D. G. & Jalali, M. R. 19 Feb 2019 In : Journal of Fluid Mechanics. 865, p. 100-136

    Research output: Contribution to journalArticle

  2. Scale-invariant singularity of the surface quasigeostrophic patch

    Scott, R. K. & Dritschel, D. G. 28 Jan 2019 In : Journal of Fluid Mechanics. 863, 12 p., R2

    Research output: Contribution to journalArticle

  3. Imperfect bifurcation for the quasi-geostrophic shallow-water equations

    Dritschel, D. G., Hmidi, T. & Renault, C. 12 Oct 2018 In : Archive for Rational Mechanics and Analysis. 231, 3, p. 1853-1915 63 p.

    Research output: Contribution to journalArticle

Related by journal

  1. Journal of Fluid Mechanics (Journal)

    Dritschel, D. G. (Editor)
    2005 → …

    Activity: Publication peer-review and editorial workEditor of research journal

Related by journal

  1. On the regularity of the Green-Naghdi equations for a rotating shallow fluid layer

    Dritschel, D. G. & Jalali, M. R. 19 Feb 2019 In : Journal of Fluid Mechanics. 865, p. 100-136

    Research output: Contribution to journalArticle

  2. Scale-invariant singularity of the surface quasigeostrophic patch

    Scott, R. K. & Dritschel, D. G. 28 Jan 2019 In : Journal of Fluid Mechanics. 863, 12 p., R2

    Research output: Contribution to journalArticle

  3. Three-dimensional quasi-geostrophic vortex equilibria with m−fold symmetry

    Reinaud, J. N. 22 Jan 2019 In : Journal of Fluid Mechanics. 863, p. 32-59

    Research output: Contribution to journalArticle

ID: 23838294