Characteristic evolutions in numerical relativity using six angular patches

Classical and Quantum Gravity

Volumn 24, Issue 12, 2007, Pages

  Reisswig, Christian ^a   Bishop, Nigel T ^b   Lai, Chi Wai ^b   Thornburg, Jonathan ^a   Szilagyi, Bela ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b UNIVERSITY OF SOUTH AFRICA   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250009380     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/24/12/S21     Document Type: Article

References (37)

1. Bondi H, van der Burg M G J and Metzner A W K 1962 Gravitational waves in general relativity VII. Waves from axi-symmetric isolated systems Proc. R. Soc. A 269 21-52
2. Sachs R K 1962 Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time Proc. R. Soc. A 270 103-26
3. Bishop N T, Gómez R, Lehner L, Maharaj M and Winicour J 1997 High-powered gravitational news Phys. Rev. D 56 6298-309
4. Gómez R 2001 Gravitational waveforms with controlled accuracy Phys. Rev. D 64 024007
5. Bishop N T, Gómez R, Lehner L and Winicour J 1996 Cauchy-characteristic extraction in numerical relativity Phys. Rev. D 54 6153-65
6. Bishop N T, Gómez R, Lehner L, Maharaj M and Winicour J 1999 Incorporation of matter into characteristic numerical relativity Phys. Rev. D 60 024005
7. Bishop N T, Gómez R, Husa S, Lehner L and Winicour J 2003 A numerical relativistic model of a massive particle in orbit near a Schwarzschild black hole Phys. Rev. D 68 084015
8. Gómez R, Husa S, Lehner L and Winicour J 2002 Gravitational waves from a fissioning white hole Phys. Rev. D 66 064019
9. Bishop N T, Clarke C and d'Inverno R 1990 Numerical relativity on a transputer array Class. Quantum Grav. 7 L23-7
10. dInverno R A and Vickers J A 1997 Combining Cauchy and characteristic codes: IV. The characteristic field equations in axial symmetry Phys. Rev. D 56 772-84
11. dInverno R A, Dubal M R and Sarkies E A 2000 Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom Class. Quantum Grav. 17 3157-70
12. Papadopoulos P and Font J A 1999 Relativistic hydrodynamics on spacelike and null surfaces: formalism and computations of spherically symmetric spacetimes Phys. Rev. D 61 024015
13. Siebel F, Font J A, Mueller E and Papadopoulos P 2003 Axisymmetric core collapse simulations using characteristic numerical relativity Phys. Rev. D 67 124018
14. Siebel F and Font J A 2001 Scalar field induced oscillations of relativistic stars and gravitational collapse Phys. Rev. D 65 024021
15. Bartnik R A and Norton A H 1999 Einstein equations in the null quasi-spherical gauge: III. Numerical algorithms Preprint gr-qc/9904045
16. Bishop N T, Gómez R, Lehner L, Maharaj M and Winicour J 2005 Characteristic initial data for a star orbiting a black hole Phys. Rev. D 72 024002
17. Babiuc M, Szilagyi B, Hawke I and Zlochower Y 2005 Gravitational wave extraction based on Cauchy-characteristic extraction and characteristic evolution Class. Quantum Grav. 22 5089-108
18. Gómez R, Lehner L, Marsa R L and Winicour J 1998 Moving black holes in 3D Phys. Rev. D 57 4778-88
19. Zlochower Y, Gómez R, Husa S, Lehner L and Winicour J 2003 Mode coupling in the nonlinear response of black holes Phys. Rev. D 68 084014
20. Thornburg J 2004 Black hole excision with multiple grid patches Class. Quantum Grav. 21 3665-91
21. Calabrese G and Neilsen D 2004 Spherical excision for moving black holes and summation by parts for axisymmetric systems Phys. Rev. D 69 044020
22. Calabrese G and Neilsen D 2005 Excising a boosted rotating black hole with overlapping grids Phys. Rev. D 71 124027
23. Anderson M W 2004 Constrained evolution in numerical relativity PhD Thesis The University of Texas at Austin, Austin, Texas, USA
24. Lehner L, Reula O and Tiglio M 2005 Multi-block simulations in general relativity: high order discretizations, numerical stability, and applications Class. Quantum Grav. 22 S283-322
25. Diener P, Dorband E N, Schnetter E and Tiglio M 2005 New, efficient, and accurate high order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions Preprint gr-qc/0512001
26. Schnetter E, Diener P, Dorband N and Tiglio M 2006 A multi-block infrastructure for three-dimensional time-dependent numerical relativity Class. Quantum Grav. 23 S553-78
27. Dorband E N, Berti E, Diener P, Schnetter E and Tiglio M 2006 A numerical study of the quasinormal mode excitation of Kerr black holes Phys. Rev. D 74 084028
28. Bishop N T 2005 Linearized solutions of the Einstein equations within a Bondi-Sachs framework, and implications for boundary conditions in numerical simulations Class. Quantum Grav. 22 2393-406
29. Goodale T, Allen G, Lanfermann G, Massó J, Radke T, Seidel E and Shalf J 2003 The Cactus framework and toolkit: design and applications VECPAR'2002: Vector and Parallel Processing-5th Int. Conf. (Lecture Notes in Computer Science) (Berlin: Springer)
30. Schnetter E, Hawley S H and Hawke I 2004 Evolutions in 3D numerical relativity using fixed mesh refinement Class. Quantum Grav. 21 1465-88
31. Isaacson R, Welling J and Winicour J 1983 Null cone computation of gravitational radiation J. Math. Phys. 24 1824
32. Gómez R, Lehner L, Papadopoulos P and Winicour J 1997 The eth formalism in numerical relativity Class. Quantum Grav. 14 977-90
33. Newman E T and Penrose R 1966 Note on the Bondi-Metzner-Sachs group J. Math. Phys. 7 863-70
34. Goldberg J N, MacFarlane A J, Newman E T, Rohrlich F and Sudarshan E C G 1967 Spin-s spherical harmonics and J. Math. Phys. 8 2155-61
35. Fornberg B 1988 Generation of finite difference formulas on arbitrarily spaced grids Math. Comput. 51 699-706
36. Choptuik M W 1991 Consistency of finite-difference solutions to Einstein's equations Phys. Rev. D 44 3124-35
37. Hawke I 2005 personal communication to Jonathan Thornburg