Numerical simulations of Einstein's equations

爱因斯坦方程的数值模拟

• 批准号: 0801213
• 负责人: Manuel Tiglio
• 金额: $ 12万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-08-15 至 2012-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0801213&HistoricalAwards=false
• 关键词: Numerical; simulations; Einstein; equations

This award supports research in numerical simulations of binary compact objects (black holes and neutron stars) accurate and efficient enough to be used for parameter estimation of sources of gravitational wave signals to be measured by detectors such as LIGO.These simulations will also be used to calibrate and drive the construction of faithful semi-analytical gravitational wave templates for parameter estimation in (e.g.) LIGO data analysis. The main numerical techniques to be used for both black hole and neutron star simulations will behigh order and pseudo-spectral multi-domain methods. Special effort will be spent on methods for extending binary simulations of orbiting compact objects using these techniques all the way to the merger and ring-down regimes.This project will address current obstacles in the ability to study with very high accuracy the gravitational waves emitted by coalescing binary compact objects, by combining the application and development of novel analytical and numerical techniques. The final goal is to develop both numerical and semi-analytical models that can be used to infer the sources of gravitational waves from their detected signals. The results of this project will have a broad impact on areas of computational relativity, modeling and detection of gravitational waves, and will likely drive the development of some new numerical techniques, which should be useful in rather general fields of computational physics involving time-dependent problems.

该奖项支持对致密双星（黑洞和中子星）进行数值模拟的研究，这些数值模拟的精度和效率足以用于LIGO等探测器测量的引力波信号源的参数估计。这些模拟还将用于校准和推动构建忠实的半分析引力波模板，用于参数估计（例如）。LIGO数据分析对黑洞和中子星星模拟的主要数值方法将是高阶和伪谱多域方法。将特别致力于采用各种方法，利用这些技术将轨道紧凑物体的双星模拟一直扩展到合并和衰荡状态，该项目将通过结合应用和开发新的分析和数值技术，解决目前在以非常高的精度研究合并双星紧凑物体发射的引力波方面的障碍。最终目标是开发数值和半分析模型，用于从探测到的信号中推断引力波的来源。该项目的结果将对计算相对论、引力波的建模和探测领域产生广泛的影响，并可能推动一些新的数值技术的发展，这些技术在涉及时间依赖问题的计算物理学的一般领域中应该是有用的。