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，以更高的效率对双黑洞碰撞进行建模。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式。将开发异构计算的使用，更具体地说，将开发数值相对论中的通用图形处理单元（GPU）。该项目开发的工具旨在探索双黑洞碰撞的物理原理，双黑洞碰撞有望成为 LIGO 和 LISA 等地基和空基干涉仪探测到的引力波的主要来源之一。如此之大，需要新的计算范式来探索它，该项目的结果应该引起广义相对论、引力波、符号计算代数、场论和高性能计算等广泛领域的兴趣。