Explore the role of numerical relativity in gravitational wave astronomy and its future implications in this 38-minute lecture by Deirdre Shoemaker from the University of Texas at Austin. Delve into the recent discoveries of LIGO and Virgo detectors, including 50 events of coalescing compact objects. Examine how numerical relativity has contributed to unveiling the gravitational wave sky and its potential to enhance our understanding of gravity as detector technology advances. Gain insights into open questions, computational challenges, and data hurdles in the field. Discover the theoretical landscape, waveform templates, and the demands of future gravitational wave detectors. Learn about the methods for assessing accuracy and the challenges facing numerical relativity in the context of binary black hole systems and future gravitational wave observations.