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Improved fast-rotating black hole evolution simulations with modified Baumgarte-Shapiro-Shibata-Nakamura formulation
Yo, Hwei-Jang1; Cao, Zhoujian2,3; Lin, Chun-Yu4; Pan, Hsing-Po1
2015-07-21
Source PublicationPHYSICAL REVIEW D
ISSN1550-7998
Volume92Issue:2Pages:10
AbstractDifferent 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.
DOI10.1103/PhysRevD.92.024034
Language英语
Funding ProjectNational 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 Research AreaAstronomy & Astrophysics ; Physics
WOS SubjectAstronomy & Astrophysics ; Physics, Particles & Fields
WOS IDWOS:000358257600002
PublisherAMER PHYSICAL SOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20399
Collection应用数学研究所
Corresponding AuthorYo, Hwei-Jang
Affiliation1.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
Recommended Citation
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.
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