Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Stable, Accurate Methodology for High Mach Number, Strong Magnetic
  Field MHD Turbulence with Adaptive Mesh Refinement: Resolution and Refinement
  Studies   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. We have implemented a robust
combination of reconstruction schemes, Riemann solvers, limiters, and
Constrained Transport EMF 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 $\beta_0$ of 0.1 as initial conditions; our code is
shown 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 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.

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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom