On the stability of covariant BSSN formulation
General Relativity and Quantum Cosmology
2022-08-10 v1
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.
Keywords
Cite
@article{arxiv.2206.13944,
title = {On the stability of covariant BSSN formulation},
author = {Ryosuke Urakawa and Takuya Tsuchiya and Gen Yoneda},
journal= {arXiv preprint arXiv:2206.13944},
year = {2022}
}
Comments
18 pages, 6 figures