RUI: Analytical and Numerical Studies of Relativistic FluidFlows Accreting onto a Magnetized Schwarzschild Black Hole

RUI：磁化史瓦西黑洞吸积相对论流体流的分析和数值研究

• 批准号: 9200524
• 负责人: Ernesto Esteban
• 金额: $ 4.88万
• 依托单位: University of Puerto Rico at Humacao
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-15 至 1995-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9200524&HistoricalAwards=false
• 关键词: RUI; Analytical; Numerical; Studies; Relativistic

This research employs analytical methods and numerical simulations to investigate (in the context of relativistic astrophysics) the accretion processes around a black hole immersed in an external magnetic field. The black hole's exterior spacetime is modelled by a solution of the combined Einstein-Maxwell equations (the magnetized Schwarzschild metric). Equipotential surfaces and Von Zeipel cylinders of relativistic rotating thick disks are analytically investigated. Computer algebra systems will be used to tackle some of the cumbersome calculations expected in this part of the project. A numerical approach is also needed in regions where the analytical method fails (outside the closed potentials). This numerical approach involves converting the relativistic hydrodynamic equations into finite difference schemes to be solved on a supercomputer. Image processing techniques and color images will be necessary to interpret the numerical output. One important aim of the project is to involve undergraduate science majors in research experiences. This project will provide talented students with the opportunity for planning, carrying out, and reporting scientific research. Moreover, by using advanced computational tools, they will develop computing skills needed for their future advancement in science or engineering.

这项研究采用分析方法和数值模拟来研究（在相对论天体物理学的背景下）沉浸在外部磁场中的黑洞周围的吸积过程。 黑洞的外部时空是通过组合爱因斯坦-麦克斯韦方程（磁化史瓦西度量）的解来建模的。 对相对论旋转厚圆盘的等势面和 Von Zeipel 柱面进行了分析研究。 计算机代数系统将用于解决该项目这一部分中预期的一些繁琐的计算。 在分析方法失败的区域（闭合势之外）也需要采用数值方法。 这种数值方法涉及将相对论流体动力学方程转换为有限差分格式，以便在超级计算机上求解。 解释数字输出需要图像处理技术和彩色图像。 该项目的一个重要目标是让理科专业的本科生参与研究经验。 该项目将为有才华的学生提供规划、开展和报告科学研究的机会。 此外，通过使用先进的计算工具，他们将培养未来科学或工程进步所需的计算技能。