A Numerical Approach to Black Hole Physics

本项目的目的是研究黑洞系统的基本流体力学和磁流体动力学。研究方法是数值方法；黑洞物理是使用大规模、多维有限差分来建模的。三维广义相对论程序将用于研究压力支撑吸积环中非轴对称圆盘不稳定性的非线性行为。这项研究将扩展到三维吸积流的研究，非轴对称流体动力学波在圆盘中的角动量传输，以及Kerr洞的框架拖曳效应。黑洞吸积系统也会以高度准直的喷流形式产生外流。磁流体动力射流准直过程将用二维牛顿程序进行研究。喷流系统SS433和Sc0 X-1将用这个代码建模，以确定磁力是否能解释观测到的喷流聚焦。此外，一个完全相对论的计算机程序的工作将继续进行，该程序将应用于越来越复杂的问题，包括喷流的准直、聚焦和产生，以及从旋转的黑洞中提取能量。

The aim of this project is to investigate the basic hydrodynamics and magnetohydrodynamics of black hole systems. The research approach is numerical; the black hole physics is modeled using large-scale, multidimensional finite- differencing. A three-dimensional, general relativistic code will be used to investigate the nonlinear behavior of nonaxisymmetric disk instabilities in pressure-supported accretion tori. This research will be extended to studies of three-dimensional accretion flows, to the transport of angular momentum through disks by nonaxisymmetric hydrodynamic waves, and to effects due to frame dragging by Kerr holes. Black hole accretion systems also produce outflows in the form of highly collimated jets. Magnetohydrodynamic jet collimation processes will be studied with a two-dimensional Newtonian code. The jet systems SS433 and Sc0 X-1 will be modeled with this code to determine whether magnetic forces can account for the observed jet focusing. In addition, work will continue on a fully-relativistic computer program, which will be applied to increasingly complex problems involving jet collimation, focusing, and generation, as well as to the extraction of energy from rotating black holes.