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Robust gauge conditions are critically important to the stability andaccuracy of numerical relativity (NR) simulations involving compact objects.Most of the NR community use the highly robust---thoughdecade-old---moving-puncture (MP) gauge conditions for such simulations. It hasbeen argued that in binary black hole (BBH) evolutions adopting this gauge,noise generated near adaptive-mesh-refinement (AMR) boundaries does notconverge away cleanly with increasing resolution, severely limitinggravitational waveform accuracy at computationally feasible resolutions. Welink this noise to a sharp (short-wavelength), initial outgoing gauge wavecrossing into progressively lower resolution AMR grids, and presentimprovements to the standard MP gauge conditions that focus on stretching,smoothing, and more rapidly settling this outgoing wave. Our best gauge choicegreatly reduces gravitational waveform noise during inspiral, yielding lessfluctuation in convergence order and $\sim 40%$ lower waveform phase andamplitude errors at typical resolutions. Noise in other physical quantities ofinterest is also reduced, and constraint violations drop by more than an orderof magnitude. We expect these improvements will carry over to simulations ofall types of compact binary systems, as well as other $N$+1 formulations ofgravity for which MP-like gauge conditions can be chosen.

Improved Moving Puncture Gauge Conditions for Compact Binary Evolutions