The next generation of gravitational-wave detectors, conceived to begin
operations in the 2030s, will probe fundamental physics with exquisite
sensitivity. These observations will measure the equation of state of dense
nuclear matter in the most extreme environments in the universe, reveal with
exquisite fidelity the nonlinear dynamics of warped spacetime, put general
relativity to the strictest test, and perhaps use black holes as cosmic
particle detectors. Achieving each of these goals will require a new generation
of numerical relativity simulations that will run at scale on the
supercomputers of the 2030s to achieve the necessary accuracy, which far
exceeds the capabilities of numerical relativity and high-performance computing
infrastructures available today.
