A STABLE, ACCURATE METHODOLOGY FOR HIGH MACH NUMBER, STRONG MAGNETIC FIELD MHD TURBULENCE WITH ADAPTIVE MESH REFINEMENT: RESOLUTION AND REFINEMENT STUDIES
A STABLE, ACCURATE METHODOLOGY FOR HIGH MACH NUMBER, STRONG MAGNETIC FIELD MHD TURBULENCE WITH ADAPTIVE MESH REFINEMENT: RESOLUTION AND REFINEMENT STUDIES
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具有自适应网格细化的高马赫数、强磁场 MHD 湍流的稳定、准确的方法：分辨率和细化研究
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发表时间：
2011
期刊：
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通讯作者：
C. McKee
中科院分区：
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作者：
P. Li;Daniel F. Martin;R. Klein;C. McKee
在高热马赫数和强初始磁场条件下对驱动MHD湍流进行稳定、长时间的模拟，由于难以保证密度和压力的正性，对高阶Goddom理想MHD格式是一个挑战。我们已经实现了一个强大的组合重建方案，黎曼解算器，限制器，和约束运输电动势平均计划，可以满足这一挑战，并使用这种策略，我们已经开发出一个新的自适应网格细化（AMR）MHD模块的ORION 2代码。我们研究了AMR对热马赫数为10，等离子体β0为0.1的湍流理想MHD系统的几个统计特性的影响;我们的程序在较高马赫数（）和较小等离子体β（β0 = 0.0067）的模拟中也是稳定的。我们的研究结果表明，湍流模拟的质量一般与体积平均细化。我们的AMR模拟表明，超声速MHD湍流的湍流耗散系数约为0.5，与unigrid模拟一致。
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 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 () 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.