Reduced Order Modeling for Gravitational Waves

双黑洞合并产生的引力波的八维参数空间的结构在很大程度上是未知的。对于每个参数值，每个解都是通过对爱因斯坦方程的数值求解得到的，并且涉及时间密集的大规模模拟。因此，用传统方法探索引力波参数空间的成本过高，最终限制了引力波物理学的进展，并对激光干涉仪引力波天文台（LIGO）的实验计划提出了重要的科学挑战。在这个项目中，新的降阶建模技术将被开发出来，用于精确地表示参数化问题的解，这些问题的数值求解成本很高，特别是在黑洞双星合并引力波的背景下。这一研究项目的结果将使科学界在绘制引力波连续体图的能力方面取得重大进展，从而用于引力波探测目的。预计在本建议中开发的方法将对涉及参数化问题和昂贵的大规模数值解决方案的广泛其他学科有用。该项目涉及两位博士后研究员的重大贡献，他们未来的职业生涯将受益于在重要科学研究的前沿进行创造性研究。

The structure of the eight-dimensional parameter space for gravitational waves produced by binary black hole mergers is largely unknown. For each parameter value, each solution is found from numerically solving Einstein's equations and involves time intensive large-scale simulations. Hence, it is prohibitively expensive to explore the parameter space with traditional methods, which ultimately limits progress in gravitational waves physics and presents an important scientific challenge for the experimental program at the Laser Interferometer Gravitational-Wave Observatory (LIGO). In this project, new reduced-order modeling techniques will be developed for accurately representing solutions of parameterized problems that are expensive to solve for numerically, specifically in the context of gravitational waves from black hole binary mergers. The results of this research project will enable the scientific community to make significant progress in the ability to map the continuum of gravitational waves from compact binary coalescence for gravitational wave detection purposes. It is expected the methods developed in this proposal will be useful for a broad range of other disciplines involving parameterized problems and expensive large-scale numerical solutions. The project involves significant contributions from two post-doctoral fellows, whose future careers will benefit from performing creative research at the forefront of an important scientific investigation.