Developing High Order Stable and Efficient Methods for Long Time Simulations of Gravitational Waveforms

开发高阶稳定且有效的方法来长时间模拟引力波形

• 批准号: 2309609
• 负责人: Scott Field
• 金额: $ 34.91万
• 依托单位: University of Massachusetts, Dartmouth
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-07-15 至 2026-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2309609&HistoricalAwards=false
• 关键词: Developing; Order; Stable; Efficient; Methods

Gravitational waves were predicted by Einstein a century ago. Still, they had never been directly observed before the Nobel Prize-winning discovery of black hole and neutron star binary systems by the US-based Laser Interferometer Gravitational-Wave Observatory (LIGO) detectors in 2015. This detection heralded a major scientific transformation in the gravitational wave astrophysics field, which led to an urgent need for advanced computational models that will play a critical role in the future success of LIGO and upcoming space-borne missions like Laser Interferometer Space Antenna. High-accuracy gravitational wave simulations are needed to produce the expected gravitational wave signal emitted from these systems over hundreds of thousands of orbital cycles, which are required to filter noisy data. The main objective of this project is to develop new computational techniques to accurately and efficiently simulate gravitational waves that will allow scientists to maximize the scientific output of current and future detectors. These efforts open a window into the universe and capture the interest of the general public as well as a younger generation of scientists. Previous research projects by the investigators have been discussed in the general media, and this work will continue to be successful in outreach to the general public. The computational skills that the students develop are broadly applicable and, therefore, would allow them access to various career options, including in areas of urgent national need.The project aims to develop advanced mathematical and computational models to accurately simulate large-mass-ratio binary black hole systems, which are crucial for detecting gravitational waves. In particular, it will develop efficient and stable high-order methods that can handle the highly singular source terms of the s = ±2 Teukolsky model, including the development of a novel algorithm using a discontinuous Galerkin scheme and a mixed precision 2D weighted essentially non-oscillatory scheme. Work will also focus on developing high-order, positivity-preserving time-stepping methods with minimized phase and dispersion errors to enhance the accuracy of the simulations. The research outcomes will significantly impact the field of gravitational wave discoveries by enabling the modeling of highly realistic astrophysical scenarios that were previously infeasible, such as systems in which both black holes are rapidly spinning in the extreme mass ratio limit.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

爱因斯坦在一个世纪前预测了重力波，在2015年在2015年，在美国的激光干涉仪重力探测器（LIGO）检测器中，它们从未直接观察到诺贝尔奖获得诺贝尔奖和中子星二元系统重力波天体物理学领域模型中的主要科学转化在Ligo的未来成功和即将到来的太空传播任务（如激光干涉仪）中起着至关重要的作用。数千个轨道周期，要过滤嘈杂的数据。以及一代人的科学家。项目AD开发的高级数学模型可以准确模拟大型二进制黑色E系统，这对于侦探波是至关重要的，它将发展效率和稳定的高空气方法，可以处理S = 2的高度来源Teukolsky模型，Teukolsky模型混合精度2D加权本质上是非振荡的方案。较高的天体物理场景是不可行的，例如两个黑洞在极端质量比的限制下都是快速的。该奖项反映了NSF'SF'Stutory Mission，并使用基金会的知识分子和更广泛的影响。审查标准。