A comparison between grid and particle methods on the small-scale dynamo
  in magnetised supersonic turbulence
  We perform a comparison between the smoothed particle magnetohydrodynamics
(SPMHD) code, Phantom, and the Eulerian grid-based code, Flash, on the
small-scale turbulent dynamo in driven, Mach 10 turbulence. We show, for the
first time, that the exponential growth and saturation of an initially weak
magnetic field via the small-scale dynamo can be successfully reproduced with
SPMHD. The two codes agree on the behaviour of the magnetic energy spectra, the
saturation level of magnetic energy, and the distribution of magnetic field
strengths during the growth and saturation phases. The main difference is that
the dynamo growth rate, and its dependence on resolution, differs between the
codes, caused by differences in the numerical dissipation and shock capturing
schemes leading to differences in the effective Prandtl number in Phantom and
Flash.
