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Apples with Apples comparison of 3+1 conformal numerical relativity schemes

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arxiv 1810.12346 v1 pith:BNTZN6K5 submitted 2018-10-29 gr-qc

classification gr-qc
keywords applesnumericalccz4comparisonconstraintdampingrelativityschemes
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This paper contains a comprehensive comparison catalog of `Apples with Apples' tests for the BSSNOK, CCZ4 and Z4c numerical relativity schemes, with and without constraint damping terms for the latter two. We use basic numerical methods and reach the same level of accuracy as existing results in the literature. We find that the best behaving scheme is generically CCZ4 with constraint damping terms.

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  1. Stable long-term evolution in numerical relativity

    gr-qc 2025-01 conditional novelty 6.0 of 10

    Two modified CCZ4 schemes that propagate momentum constraint violations without damping suppress a late-time instability seen in long BSSN black hole simulations.

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