Disk Tearing: Numerical Investigation of Warped Disk Instability
Disk Tearing: Numerical Investigation of Warped Disk Instability
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盘撕裂：翘曲盘不稳定性的数值研究
DOI：
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
S. Doğan
中科院分区：
文献类型：
--
作者：
A. Raj;C. Nixon;S. Doğan
我们提出了一个旋转的黑洞周围的错位磁盘覆盖范围内的参数的数值模拟。以前的模拟已经表明，被强迫岁差强烈扭曲的盘-在这种情况下，来自旋转黑洞的Lense-Thirring效应-可以分裂成离散的盘或环，这些盘或环可以在短时间尺度内准独立地行为。我们在这里提出的模拟，我们确认薄和高度倾斜的磁盘更容易磁盘撕裂比厚磁盘或那些具有较低的倾斜度，我们表明，较低的磁盘粘度参数值导致不稳定在较低的翘曲振幅。这与翘曲圆盘方程的详细稳定性分析是一致的。我们发现，在数值模拟中看到的不稳定性的增长率在很宽的参数范围内是相似的，并且与预测的增长率具有相同的顺序。然而，我们没有发现预期的增长率与粘度参数的趋势。这可能表明增长率受数值分辨率的影响，或者增长最快的模式的波长是本地磁盘参数的函数。最后，我们还发现，磁盘撕裂可以发生的粘度参数高于预测的翘曲盘方程的局部稳定性分析的磁盘。在这种情况下，不稳定性表现得不同，会在盘中局部产生盘倾斜的巨大变化，而不是通常在低粘度盘中发生的盘扭曲的巨大变化。
We present numerical simulations of misaligned disks around a spinning black hole covering a range of parameters. Previous simulations have shown that disks that are strongly warped by a forced precession—in this case, the Lense–Thirring effect from the spinning black hole—can break apart into discrete disks or rings that can behave quasi-independently for short timescales. With the simulations we present here, we confirm that thin and highly inclined disks are more susceptible to disk tearing than thicker disks or those with lower inclination, and we show that lower values of the disk viscosity parameter lead to instability at lower warp amplitudes. This is consistent with detailed stability analysis of the warped disk equations. We find that the growth rates of the instability seen in the numerical simulations are similar across a broad range of parameters, and are of the same order as the predicted growth rates. However, we did not find the expected trend of growth rates with viscosity parameter. This may indicate that the growth rates are affected by numerical resolution, or that the wavelength of the fastest-growing mode is a function of local disk parameters. Finally, we also find that disk tearing can occur for disks with a viscosity parameter that is higher than predicted by a local stability analysis of the warped disk equations. In this case, the instability manifests differently, producing large changes in the disk tilt locally in the disk, rather than the large changes in disk twist that typically occur in lower-viscosity disks.
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DOI：
10.1111/j.1365-2966.2009.15773.x
发表时间：
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影响因子：
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