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Fully resolved array of simulations investigating the influence of the magnetic Prandtl number on magnetohydrodynamic turbulence

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Original languageEnglish
Number of pages6
JournalPhysical Review E
Publication statusPublished - 4 Jan 2019


We explore the effect of the magnetic Prandtl number Pm on energy and dissipation in fully resolved direct numerical simulations of steady-state, mechanically forced homogeneous magnetohydrodynamic turbulence in the range Pm = 1/32 to 32. We compare the spectra and show that if the simulations are not fully resolved, the steepness of the scaling of the kinetic-to-magnetic dissipation ratio with Pm is overestimated. We also present results of decaying turbulence with helical and nonhelical magnetic fields, where we find nonhelical reverse spectral transfer for Pm <1. The results of this systematic analysis have applications including stars, planetary dynamos, and accretion disks.

    Research areas

  • physics.flu-dyn, astro-ph.CO, physics.plasm-ph

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