Reducing phase error in long numerical binary black hole evolutions with sixth-order finite differencing

Classical and Quantum Gravity

Volumn 25, Issue 10, 2008, Pages

  Husa, Sascha ^a   González, José A ^a,b   Hannam, Mark ^a   Brügmann, Bernd ^a   Sperhake, Ulrich ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44449178244     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/25/10/105006     Document Type: Article

References (54)

1. Pretorius F 2005 Evolution of binary black hole spacetimes Phys. Rev. Lett. 95 121101
2. Campanelli M, Lousto C O, Marronetti P and Zlochower Y 2006 Accurate evolutions of orbiting black-hole binaries without excision Phys. Rev. Lett. 96 111101
3. Baker J G, Centrella J, Choi D-I, Koppitz M and van Meter J 2006 Gravitational-wave extraction from an inspiraling configuration of merging black holes Phys. Rev. Lett. 96 111102
4. Hahn S G and Lindquist R W 1964 The two-body problem in geometrodynamics Ann. Phys. 29 304-31
5. Baker J G, Centrella J, Choi D-I, Koppitz M, van Meter J and Miller M C 2006 Getting a kick out of numerical relativity Astrophys. J. 653 L93-L96 (Preprint astro-ph/0603204)
6. González J A, Sperhake U, Brügmann B, Hannam M and Husa S 2007 Total recoil: the maximum kick from nonspinning black-hole binary inspiral Phys. Rev. Lett. 98 091101
7. Campanelli M, Lousto C O and Zlochower Y 2006 Gravitational radiation from spinning-black-hole binaries: the orbital hang up Phys. Rev. D 74 041501 (Preprint gr-qc/0604012)
8. Campanelli M, Lousto C O and Zlochower Y 2006 Spin-orbit interactions in black-hole binaries Phys. Rev. D 74 084023 (Preprint gr-qc/0608275)
9. Herrmann F, Hinder I, Shoemaker D, Laguna P and Matzner R 2007 Gravitational recoil from spinning binary black-hole mergers Astrophys. J. 661 430-6 (Preprint gr-qc/0701143)
10. Koppitz M, Pollney D, Reisswig C, Rezzolla L, Thornburg J, Diener P and Schnetter E 2007 Recoil velocities from equal-mass binary black hole mergers: a systematic investigation of spin-orbit aligned configurations Phys. Rev. Lett. 99 041102 (Preprint gr-qc/0701163)
11. González J A, Hannam M D, Sperhake U, Brügmann B and Husa S 2007 Supermassive recoil velocities for binary black-hole mergers with antialigned spins Phys. Rev. Lett. 98 231101
12. Campanelli M, Lousto C O, Zlochower Y and Merritt D 2007 Large merger recoils and spin flips from generic black-hole binaries Ap. J. Lett. 659 L5-L8 (Preprint gr-qc/0701164)
13. Herrmann F, Hinder I, Shoemaker D and Laguna P 2007 Presented at 'nrm3pn Meetings' (St Louis, 8-11 Feb, 2007)
14. Baker J G, Centrella J, Choi D-I, Koppitz M and van Meter J 2006 Binary black-hole merger dynamics and waveforms Phys. Rev. D 73 104002 (Preprint gr-qc/0602026)
15. Baker J G, van Meter J R, McWilliams S T, Centrella J and Kelly B J 2007 Consistency of post-Newtonian waveforms with numerical relativity Phys. Rev. Lett. 99 181101 (Preprint gr-qc/0612024)
16. Brügmann B, González J A, Hannam M, Husa S, Sperhake U and Tichy W 2008 Calibration of moving-puncture simulations Phys. Rev. D 77 024027 (Preprint gr-qc/0610128)
17. Buonanno A, Cook G B and Pretorius F 2007 Inspiral, merger and ring-down of equal mass black-holes binaries Phys. Rev. D 75 124018 (Preprint gr-qc/0610122)
18. Berti E et al 2007 Inspiral, merger and ringdown of unequal-mass black-hole binaries: a multipolar analysis Phys. Rev. D 76 064034 (Preprint gr-qc/0703053)
19. Pan Y et al 2008 A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case Phys. Rev. D 77 024014 (Preprint 0704.1964)
20. Ajith P et al 2007 Phenomenological template family for black-hole coalescence waveforms Class. Quantum Grav. 24 S689-99
21. Campanelli M, Lousto C O and Zlochower Y 2006 The last orbit of binary black holes Phys. Rev. D 73 061501
22. Baker J G, Centrella J, Choi D-I, Koppitz M and van Meter J 2006 Binary black-hole merger dynamics and waveforms Phys. Rev. D 73 104002
23. Sperhake U 2007 Binary black-hole evolutions of excision and puncture data Phys. Rev. D 76 104015 (Preprint gr-qc/0606079)
24. Scheel M A, Pfeiffer H P, Lindblom L, Kidder L E, Rinne O and Teukolsky S A 2006 Solving Einstein's equations with dual coordinate frames Phys. Rev. D 74 104006
25. Pfeiffer H P, Brown D, Kidder L E, Lindblom L, Lovelance G and Scheel M A 2007 Reducing orbital eccentricity in binary black hole simulations Class. Quantum Grav. 24 S59-S82
26. Scheel M 2006 Binary black hole evolutions using spectral methods Talk at the NFNR Conf. (Potsdam, Germany, 17-21 July, 2006)
27. Baker J G et al 2007 Binary black hole late inspiral: simulations for gravitational-wave observations Phys. Rev. D 75 124024 (Preprint gr-qc/0612117)
28. Brügmann B, González J A, Hannam M, Husa S and Sperhake U 2006 Presented at LSC Meeting (Boston, 4-6 Nov, 2006)
29. Baumgarte T W and Shapiro S L 1999 On the numerical integration of Einstein's field equations Phys. Rev. D 59 024007
30. Shibata M and Nakamura T 1995 Evolution of three-dimensional gravitational waves: harmonic slicing case Phys. Rev. D 52 5428
31. Alcubierre M, Brügmann B, Diener P, Koppitz M, Pollney D, Seidel E and Takahashi R 2003 Gauge conditions for long-term numerical black hole evolutions without excision Phys. Rev. D 67 084023
32. Gundlach C and Martin-Garcia J M 2006 Hyperbolicity of second-order in space systems of evolution equations Class. Quantum Grav. 23 S387-404
33. Alcubierre M and Brügmann B 2001 Simple excision of a black hole in 3+1 numerical relativity Phys. Rev. D 63 104006
34. Baker J, Brügmann B, Campanelli M, Lousto C O and Takahashi R 2001 Plunge waveforms from inspiralling binary black holes Phys. Rev. Lett. 87 121103
35. Hannam M, Husa S, Pollney D, Brügmann B and Murchadha N 2007 Geometry and regularity of moving punctures Phys. Rev. Lett. 99 241102 (Preprint gr-qc/0606099)
36. Hannam M, Husa S, Murchadha N, Brügmann B, González J A and Sperhake U 2007 Where do moving punctures go? J. Phys.: Conf. Ser. 66 012047
37. Brown J D 2008 Puncture evolution of schwarzschild black holes Phys. Rev. D 77 044018 (Preprint 0705.1359)
38. Brügmann B 1999 Binary black-hole mergers in 3D numerical relativity Int. J. Mod. Phys. D 8 85
39. Brügmann B, Tichy W and Jansen N 2004 Numerical simulation of orbiting black holes Phys. Rev. Lett. 92 211101
40. Husa S, Hinder I and Lechner C 2006 Kranc: a Mathematica application to generate numerical codes for tensorial evolution equations Comput. Phys. Commun. 174 983-1004
41. Gropp W, Lusk E, Doss N and Skjellum A 1996 A high-performance, portable implementation of the MPI message passing interface standard Parallel Comput. 22 789-828
42. Schnetter E, Hawley S H and Hawke I 2004 Evolutions in 3D numerical relativity using fixed mesh refinement Class. Quantum Grav. 21 1465-88
43. Lehner L, Liebling S L and Reula O 2006 AMR, stability and higher accuracy Class. Quantum Grav. 23 S421-S445
44. Brandt S and Brügmann B 1997 A simple construction of initial data for multiple black holes Phys. Rev. Lett. 78 3606-9
45. Beig R and O'Murchadha N 1994 Class. Quantum Grav. 11 419
46. Dain S and Friedrich H 2001 Asymptotically flat initial data with prescribed regularity at infinity Commun. Math. Phys. 222 569 (Preprint gr-qc/0102047)
47. Ansorg M, Brügmann B and Tichy W 2004 A single-domain spectral method for black-hole puncture data Phys. Rev. D 70 064011
48. Csizmadia P 2006 Testing a new mesh-refinement code in the evolution of a spherically symmetric Klein-Gordon field Int. J. Mod. Phys. D 15 107-19
49. Baker J G and Meter J R 2005 Reducing reflections from mesh-refinement interfaces in numerical relativity Phys. Rev. D 72 104010
50. Zlochower Y, Baker J G, Campanelli M and Lousto C O 2005 Accurate black hole evolutions by fourth-order numerical relativity Phys. Rev. D 72 024021
51. Kreiss H O and Oliger J 1973 Methods for the approximate solution of time dependent problems GARP Publication Series no. 10 (Geneva: GARP Publication)
52. Husa S, Hannam M, González J A, Sperhake U and Brügmann B 2008 Reducing eccentricity in black-hole binary evolutions with initial parameters from post-Newtonian inspiral Phys. Rev. D 77 044037
53. Hannam M, Husa S, Sperhake U, Brügmann B and González J A 2008 Where post-Newtonian and numerical-relativity waveforms meet Phys. Rev. D 77 044020
54. Calabrese G, Hinder I and Husa S 2005 Numerical stability for finite-difference approximations of Einstein's equations J. Comput. Phys. 218 607-34