Advancing Binary Black Hole Simulations: Innovations and Discoveries in Dendro-GR

Recent innovations in binary black hole simulations in the code Dendro-GR have significantly improved its current and expected accuracy and efficiency. We have improved the code with novel Hamiltonian damping techniques, Nyquist-based refinement strategies, parallel-in-time integration and compact finite differences. We also show novel waveform error analysis, both to quantify phase differences early on in simulations as well as to better quantify waveform noise for cross-simulation comparison. Finally, we share exciting hints toward waveform universality as well as a potential universal trend in spherical harmonic modes at merger peak. These improvements in accuracy which Dendro-GR provides work toward satisfying future accuracy requirements of gravitational wave detectors like LISA.