黑洞磁球中的黎曼解算器和阿尔芬波

IF 16.281
Brian Punsly, Dinshaw Balsara, Jinho Kim, Sudip Garain
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引用次数: 4

摘要

在旋转黑洞的磁层中,流入的等离子体必须穿过内部的阿尔芬临界表面(IACS)。在IACS内部,阿尔芬波向内指向黑洞。时空活动区域(遍层)的大部分适当体积都在IACS内部。电荷和完全横向动量通量(波法向和无扰动磁场的横向动量通量)都完全由阿尔芬极化决定。因此,减小阿尔芬波的耗散对黑洞磁层的数值模拟具有重要意义。无论IACS如何,耗散波的元素都出现在相邻的单元中,没有机制可以阻止Alfvenic信息向外交叉。因此,数值耗散可以影响模拟磁球如何获得与旋转磁场相关的大量哥德里奇-朱利安电荷密度。为了帮助最小化阿尔芬波在相对论数值模拟中的耗散,我们制定了一个一维黎曼解算器,称为HLLI,它包含了阿尔芬不连续和接触不连续。我们还制定了一个多维黎曼解算器,称为MuSIC,使阿尔芬波在多维中低耗散传播。文中还列举了高阶格式对降低阿尔芬波数值耗散的重要性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Riemann solvers and Alfven waves in black hole magnetospheres

Riemann solvers and Alfven waves in black hole magnetospheres

In the magnetosphere of a rotating black hole, an inner Alfven critical surface (IACS) must be crossed by inflowing plasma. Inside the IACS, Alfven waves are inward directed toward the black hole. The majority of the proper volume of the active region of spacetime (the ergosphere) is inside of the IACS. The charge and the totally transverse momentum flux (the momentum flux transverse to both the wave normal and the unperturbed magnetic field) are both determined exclusively by the Alfven polarization. Thus, it is important for numerical simulations of black hole magnetospheres to minimize the dissipation of Alfven waves. Elements of the dissipated wave emerge in adjacent cells regardless of the IACS, there is no mechanism to prevent Alfvenic information from crossing outward. Thus, numerical dissipation can affect how simulated magnetospheres attain the substantial Goldreich-Julian charge density associated with the rotating magnetic field. In order to help minimize dissipation of Alfven waves in relativistic numerical simulations we have formulated a one-dimensional Riemann solver, called HLLI, which incorporates the Alfven discontinuity and the contact discontinuity. We have also formulated a multidimensional Riemann solver, called MuSIC, that enables low dissipation propagation of Alfven waves in multiple dimensions. The importance of higher order schemes in lowering the numerical dissipation of Alfven waves is also catalogued.

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期刊介绍: Computational Astrophysics and Cosmology (CompAC) is now closed and no longer accepting submissions. However, we would like to assure you that Springer will maintain an archive of all articles published in CompAC, ensuring their accessibility through SpringerLink's comprehensive search functionality.
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