Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation

doi:10.1103/PhysRevD.92.024034

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	Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation
	Yo, Hwei-Jang 1; Cao, Zhoujian2,3 ; Lin, Chun-Yu 4; Pan, Hsing-Po 1
	2015-07-21
发表期刊	PHYSICAL REVIEW D
ISSN	1550-7998
卷号	92 期号:2 页码:10
摘要	Different formulations of Einstein's equations used in numerical relativity can affect not only the stability but also the accuracy of numerical simulations. In the original Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation, the loss of the angular momentum, J, is non-negligible in highly spinning single black hole evolutions. This loss also appears, usually right after the merger, in highly spinning binary black hole simulations, The loss of J may be attributed to some unclear numerical dissipation. Reducing unphysical dissipation is expected to result in more stable and accurate evolutions. In the previous work [H.-J. Yo et al., Phys. Rev. D 86, 064027 (2012).] we proposed several modifications which are able to prevent black hole evolutions from the unphysical dissipation, and the resulting simulations are more stable than in the traditional BSSN formulation. Specifically, these three modifications (M1, M2, and M3) enhance the effects of stability, hyperbolicity, and dissipation of the formulation. We experiment further in this work with these modifications, and demonstrate that these modifications improve the accuracy and also effectively suppress the loss of J, particularly in the black hole simulations with an initially large ratio of J and a square of the ADM mass.
DOI	10.1103/PhysRevD.92.024034
语种	英语
资助项目	National Science Council[NSC102-2112-M-006-014-MY2] ; Headquarters of University Advancement at the National Cheng Kung University - Ministry of Education, Taiwan, Republic of China ; NSFC[11375260]
WOS研究方向	Astronomy & Astrophysics ; Physics
WOS类目	Astronomy & Astrophysics ; Physics, Particles & Fields
WOS记录号	WOS:000358257600002
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20399
专题	应用数学研究所
通讯作者	Yo, Hwei-Jang
作者单位	1.Natl Cheng Kung Univ, Dept Phys, Tainan 701, Taiwan 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 4.Natl Ctr High Performance Comp, Hsinchu 300, Taiwan
推荐引用方式 GB/T 7714	Yo, Hwei-Jang,Cao, Zhoujian,Lin, Chun-Yu,et al. Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation[J]. PHYSICAL REVIEW D,2015,92(2):10.
APA	Yo, Hwei-Jang,Cao, Zhoujian,Lin, Chun-Yu,&Pan, Hsing-Po.(2015).Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation.PHYSICAL REVIEW D,92(2),10.
MLA	Yo, Hwei-Jang,et al."Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation".PHYSICAL REVIEW D 92.2(2015):10.