Improved numerical stability of stationary black hole evolution calculations

Hwei Jang Yo; Thomas W. Baumgarte; Stuart L. Shapiro

doi:10.1103/PhysRevD.66.084026

Improved numerical stability of stationary black hole evolution calculations

Hwei Jang Yo, Thomas W. Baumgarte, Stuart L. Shapiro

Department of Physics

Research output: Contribution to journal › Article › peer-review

71 Citations (Scopus)

Abstract

We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stability of numerical black hole evolution calculations. We use excision to evolve both nonrotating and rotating Kerr-Schild black holes in octant and equatorial symmetry, and without any symmetry assumptions, and obtain accurate and stable simulations for specific angular momenta (Formula presented) of up to about (Formula presented)

Original language	English
Article number	084026
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	66
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.66.084026
Publication status	Published - 2002 Oct 31

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

Access to Document

10.1103/PhysRevD.66.084026

Fingerprint Dive into the research topics of 'Improved numerical stability of stationary black hole evolution calculations'. Together they form a unique fingerprint.

Cite this

@article{6996f623328c4b928e2235bf7a7c7b5e,

title = "Improved numerical stability of stationary black hole evolution calculations",

abstract = "We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stability of numerical black hole evolution calculations. We use excision to evolve both nonrotating and rotating Kerr-Schild black holes in octant and equatorial symmetry, and without any symmetry assumptions, and obtain accurate and stable simulations for specific angular momenta (Formula presented) of up to about (Formula presented)",

author = "Yo, {Hwei Jang} and Baumgarte, {Thomas W.} and Shapiro, {Stuart L.}",

year = "2002",

month = oct,

day = "31",

doi = "10.1103/PhysRevD.66.084026",

language = "English",

volume = "66",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

number = "8",

}

TY - JOUR

T1 - Improved numerical stability of stationary black hole evolution calculations

AU - Yo, Hwei Jang

AU - Baumgarte, Thomas W.

AU - Shapiro, Stuart L.

PY - 2002/10/31

Y1 - 2002/10/31

N2 - We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stability of numerical black hole evolution calculations. We use excision to evolve both nonrotating and rotating Kerr-Schild black holes in octant and equatorial symmetry, and without any symmetry assumptions, and obtain accurate and stable simulations for specific angular momenta (Formula presented) of up to about (Formula presented)

AB - We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stability of numerical black hole evolution calculations. We use excision to evolve both nonrotating and rotating Kerr-Schild black holes in octant and equatorial symmetry, and without any symmetry assumptions, and obtain accurate and stable simulations for specific angular momenta (Formula presented) of up to about (Formula presented)

UR - http://www.scopus.com/inward/record.url?scp=1942478782&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1942478782&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.66.084026

DO - 10.1103/PhysRevD.66.084026

M3 - Article

AN - SCOPUS:1942478782

VL - 66

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

M1 - 084026

ER -

Improved numerical stability of stationary black hole evolution calculations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this