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Performing a stable, long duration simulation of driven MHD turbulence with ahigh thermal Mach number and a strong initial magnetic field is a challenge tohigh-order Godunov ideal MHD schemes because of the difficulty in guaranteeingpositivity of the density and pressure. We have implemented a robustcombination of reconstruction schemes, Riemann solvers, limiters, andConstrained Transport EMF averaging schemes that can meet this challenge, andusing this strategy, we have developed a new Adaptive Mesh Refinement (AMR) MHDmodule of the ORION2 code. We investigate the effects of AMR on severalstatistical properties of a turbulent ideal MHD system with a thermal Machnumber of 10 and a plasma $\beta_0$ of 0.1 as initial conditions; our code isshown to be stable for simulations with higher Mach numbers ($M_rms = 17.3$)and smaller plasma beta ($\beta_0 = 0.0067$) as well. Our results show that thequality of the turbulence simulation is generally related to thevolume-averaged refinement. Our AMR simulations show that the turbulentdissipation coefficient for supersonic MHD turbulence is about 0.5, inagreement with unigrid simulations.

astrophysical journal/the astrophysical journal

A Stable, Accurate Methodology for High Mach Number, Strong Magnetic  Field MHD Turbulence with Adaptive Mesh Refinement: Resolution and Refinement  Studies