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arXiv 1004.2382astro-ph.HEastro-ph.SR
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净磁通为零的剪切盒中磁旋转不稳定性的MHD模拟:Pm=4的情况

MHD simulations of the magnetorotational instability in a shearing box with zero net flux: the case Pm=4

Sebastien Fromang

摘要:

本文研究了当磁普朗特数Pm大于1时,大雷诺数Re下磁旋转不稳定性引起的MHD湍流的输运特性。对无分层剪切盒中零净磁通的磁旋转不稳定性进行了三种MHD模拟。这些模拟与代码宙斯进行,并考虑角动量输运率的演变,Re逐渐增加,从3125到12500,同时保持Pm=4。为了确保流动的小尺度特征被很好地分辨,分辨率从每盘尺度高度128个单元变化到每盘尺度高度512个单元。后者构成了迄今为止MRI湍流模拟的最高分辨率。使用α参数测量的角动量输运率仅非常弱地依赖于雷诺数:发现α约为0.007,在所有模拟中,该平均值的变化范围为15%。Re没有系统演化。对于最佳分辨率的模型,动能功率谱初步显示出一个幂律范围内的指数-3/2,而磁能被发现转移到越来越小的尺度随着磁雷诺数的增加。几种不同的诊断都表明一个明确定义的注射长度的一小部分的规模高度。这封信中提出的结果是一致的MRI能够有效地传输角动量在大雷诺数时,Pm=4在非分层零净通量剪切盒。

英文摘要:

This letter investigates the transport properties of MHD turbulence induced by the magnetorotational instability at large Reynolds numbers Re when the magnetic Prandtl number Pm is larger than unity. Three MHD simulations of the magnetorotational instability (MRI) in the unstratified shearing box with zero net flux are presented. These simulations are performed with the code Zeus and consider the evolution of the rate of angular momentum transport as Re is gradually increased from 3125 to 12500 while simultaneously keeping Pm=4. To ensure that the small scale features of the flow are well resolved, the resolution varies from 128 cells per disk scaleheight to 512 cells per scaleheight. The latter constitutes the highest resolution of an MRI turbulence simulation to date. The rate of angular momentum transport, measured using the alpha parameter, depends only very weakly on the Reynolds number: alpha is found to be about 0.007 with variations around this mean value bounded by 15% in all simulations. There is no systematic evolution with Re. For the best resolved model, the kinetic energy power spectrum tentatively displays a power-law range with an exponent -3/2, while the magnetic energy is found to shift to smaller and smaller scales as the magnetic Reynolds number increases. A couple of different diagnostics both suggest a well-defined injection length of a fraction of a scaleheight. The results presented in this letter are consistent with the MRI being able to transport angular momentum efficiently at large Reynolds numbers when Pm=4 in unstratified zero net flux shearing boxes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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