A stable, accurate methodology for high Mach number, strong magnetic field MHD turbulence with adaptive mesh refinement: resolution and refinement studies

Li, Pak Shing; Martin, Daniel F.; Klein, Richard I.; McKee, Christopher F.

doi:10.1088/0004-637x/745/2/139

A stable, accurate methodology for high Mach number, strong magnetic field MHD turbulence with adaptive mesh refinement: resolution and refinement studies

Journal Article · Wed Jan 11 00:00:00 EST 2012 · The Astrophysical Journal

DOI:https://doi.org/10.1088/0004-637x/745/2/139· OSTI ID:2301857

Li, Pak Shing ^[1]; Martin, Daniel F. ^[2]; Klein, Richard I. ^[3]; McKee, Christopher F. ^[1]

University of California, Berkeley, CA (United States)
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
University of California, Berkeley, CA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Performing a stable, long-duration simulation of driven MHD turbulence with a high thermal Mach number and a strong initial magnetic field is a challenge to high-order Godunov ideal MHD schemes because of the difficulty in guaranteeing positivity of the density and pressure. For this work, we have implemented a robust combination of reconstruction schemes, Riemann solvers, limiters, and constrained transport electromotive force averaging schemes that can meet this challenge, and using this strategy, we have developed a new adaptive mesh refinement (AMR) MHD module of the ORION2 code. We investigate the effects of AMR on several statistical properties of a turbulent ideal MHD system with a thermal Mach number of 10 and a plasma β₀ of 0.1 as initial conditions; our code is shown to be stable for simulations with higher Mach numbers ($$\mathcal{M}_{rms}=17.3$$) and smaller plasma beta (β₀ = 0.0067) as well. Our results show that the quality of the turbulence simulation is generally related to the volume-averaged refinement. Our AMR simulations show that the turbulent dissipation coefficient for supersonic MHD turbulence is about 0.5, in agreement with unigrid simulations.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC02-05CH11231; AC52-07NA27344

OSTI ID:: 2301857

Alternate ID(s):: OSTI ID: 22011896

Report Number(s):: LLNL-JRNL-519491; 542449

Journal Information:: The Astrophysical Journal, Journal Name: The Astrophysical Journal Journal Issue: 2 Vol. 745; ISSN 0004-637X

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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