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arXiv 1212.1306astro-ph.HE
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全球吸积盘模拟中的平衡盘、MRI模激发和稳态turbulence

Equilibrium disks, MRI mode excitation, and steady state turbulence in global accretion disk simulations

E. R. Parkin, G. V. Bicknell

摘要:

本文从完全平衡的初始条件出发,考虑了磁力,并满足感应方程,对湍流吸积盘进行了三维磁流体动力学(MHD)模拟。磁旋转不稳定性(MRI)的局部线性理论被用作全球模拟中磁场扰动增长的预测器。当非线性运动(可能由湍流的开始触发)扰乱了用于激发MRI的速度扰动时,线性增长估计和全局模拟会出现分歧。饱和状态被发现是独立的最初激发的MRI模式,表明一旦磁盘驱逐了最初的净通量场,并解决到准周期振荡的环形磁通量,发电机周期调节的全球饱和应力水平。此外,收敛湍流的时间平均措施,如磁能比,被发现与以前的作品。特别地,归一化到气体压力的全局平均应力<α_{ \rm P}> = 0.034,对于具有更高方位分辨率的模拟,获得了显著更高的值。使用不同的数值算法和分辨率进行补充测试。收敛与分辨率在初始的线性MRI生长阶段被发现为23-35细胞每scaleheight(在垂直方向)。

英文摘要:

Global three dimensional magnetohydrodynamic (MHD) simulations of turbulent accretion disks are presented which start from fully equilibrium initial conditions in which the magnetic forces are accounted for and the induction equation is satisfied. The local linear theory of the magnetorotational instability (MRI) is used as a predictor of the growth of magnetic field perturbations in the global simulations. The linear growth estimates and global simulations diverge when non-linear motions - perhaps triggered by the onset of turbulence - upset the velocity perturbations used to excite the MRI. The saturated state is found to be independent of the initially excited MRI mode, showing that once the disk has expelled the initially net flux field and settled into quasi-periodic oscillations in the toroidal magnetic flux, the dynamo cycle regulates the global saturation stress level. Furthermore, time-averaged measures of converged turbulence, such as the ratio of magnetic energies, are found to be in agreement with previous works. In particular, the globally averaged stress normalized to the gas pressure, <α_{\rm P}> = 0.034, with notably higher values achieved for simulations with higher azimuthal resolution. Supplementary tests are performed using different numerical algorithms and resolutions. Convergence with resolution during the initial linear MRI growth phase is found for 23-35 cells per scaleheight (in the vertical direction).

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