On the stability of covariant BSSN formulation

Gen Yoneda; Ryosuke Urakawa; Takuya Tsuchiya

On the stability of covariant BSSN formulation

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2206.13944 v1 pith:ZVRPVZRW submitted 2022-06-27 gr-qc

Ryosuke Urakawa , Takuya Tsuchiya , Gen Yoneda This is my paper · ORCID

classification gr-qc

keywords formulationcbssnstabilityadjustedbssnconstraintscovariantequations

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

In this study, we investigate the numerical stability of the covariant BSSN (cBSSN) formulation proposed by Brown. We calculate the constraint amplification factor (CAF), which is an eigenvalue of the coefficient matrix of the evolution equations of the constraints on the cBSSN formulation and on some adjusted formulations with constraints added to the evolution equations. The adjusted formulations have a higher numerical stability than the cBSSN formulation from the viewpoint of the CAF.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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.

Pith tools