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Numerical testbed for singularity excision in moving black hole spacetimes
Physical Review D, Particles and fields
We evolve a scalar field in a fixed Kerr-Schild background geometry to test simple (3+1)-dimensional algorithms for singularity excision. We compare both centered and upwind schemes for handling the shift (advection) terms, as well as different approaches for implementing the excision boundary conditions, for both static and boosted black holes. By first determining the scalar field evolution in a static frame with a (1+1)-dimensional code, we obtain the solution to very high precision. Thisdoi:10.1103/physrevd.64.124011 fatcat:t2fmypqn6zakrlkuz3nft4z5f4