Algorithms, Scientific Computing, and Numerical Studies in Classical and Quantum General Relativity

经典和量子广义相对论中的算法、科学计算和数值研究

• 批准号: 0908457
• 负责人: Manuel Tiglio
• 金额: $ 10万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-01 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0908457&HistoricalAwards=false
• 关键词: Algorithms; Scientific; Computing; Numerical; Studies

A comprehensive set of new algorithmic and scientific computing tools to numerically investigate the modeling of binary black hole collisions with higher efficiency will be developed. Symbolic manipulation tools to automatize and obtain higher order post-Newtonian expansions of the Einstein equations using techniques from Quantum Field Theory will be developed.  The use of heterogeneous computing and, more specifically, general purpose Graphics Processing Units (GPUs) in numerical relativity will be explored. The tools developed in this project aim to explore the physics of binary black hole collisions, expected to be one of the main sources of gravitational waves to be detected by ground- and space-based interferometers such as LIGO and LISA. The parameter space is so large that new computing paradigms are needed to explore it. The results of this project should be of interest in the broad areas of general relativity, gravitational waves, symbolic computing algebra, field theory, and high performance computing.

将开发一套全面的新算法和科学计算工具，以更高的效率对二元黑洞碰撞建模进行数值研究。将开发符号操作工具，使用量子场论技术自动化并获得爱因斯坦方程的高阶后牛顿展开。使用异构计算，更具体地说，通用图形处理单元（gpu）在数值相对论将被探索。该项目开发的工具旨在探索双黑洞碰撞的物理特性，有望成为地面和天基干涉仪（如LIGO和LISA）探测到的引力波的主要来源之一。参数空间是如此之大，以至于需要新的计算范式来探索它。这个项目的结果应该对广义相对论、引力波、符号计算代数、场论和高性能计算等广泛领域感兴趣。