Numerical Challenges
- the problem has a large range of dynamical scales:
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- a black hole's radius is 2M (in geometric units); this region needs to be well resolved for stable excision.
- wavelengths of gravitational waves ~ 20M.
- the outer boundary needs to be at least as far out as R~100M for accurate waveform extraction, due to the non-linear nature of the interactions close to the merger