메뉴 건너뛰기




Volumn 23, Issue 16, 2006, Pages

A multi-block infrastructure for three-dimensional time-dependent numerical relativity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33746604824     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/16/S14     Document Type: Article
Times cited : (108)

References (62)
  • 1
    • 36149033966 scopus 로고
    • Coordinates and boundary conditions for the general relativistic initial data problem
    • Thornburg J 1987 Coordinates and boundary conditions for the general relativistic initial data problem Class. Quantum Grav. 4 1119 (http://stacks.iop.org/0264-9381/4/1119)
    • (1987) Class. Quantum Grav. , vol.4 , Issue.5 , pp. 1119
    • Thornburg, J.1
  • 2
    • 0001229924 scopus 로고
    • Towards a singularity-proof scheme in numerical relativity
    • Seidel E and Suen W-M 1992 Towards a singularity-proof scheme in numerical relativity Phys. Rev. Lett. 69 1845 (Preprint gr-qc/9210016)
    • (1992) Phys. Rev. Lett. , vol.69 , Issue.13 , pp. 1845
    • Seidel, E.1    Suen, W.-M.2
  • 3
    • 0009445873 scopus 로고    scopus 로고
    • The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity
    • Secchi P 1996 The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity Diff. Integral Eqns 9 671
    • (1996) Diff. Integral Eqns , vol.9 , pp. 671
    • Secchi, P.1
  • 4
    • 17044396255 scopus 로고    scopus 로고
    • Cauchy-perturbative matching and outer boundary conditions: Computational studies
    • Rezzolla L, Abrahams A M, Matzner R A, Rupright M E and Shapiro S L 1999 Cauchy-perturbative matching and outer boundary conditions: computational studies Phys. Rev. D 59 064001 (Preprint gr-qc/9807047)
    • (1999) Phys. Rev. , vol.59 , Issue.6 , pp. 064001
    • Rezzolla, L.1    Abrahams, A.M.2    Matzner, R.A.3    Rupright, M.E.4    Shapiro, S.L.5
  • 5
    • 0034507153 scopus 로고    scopus 로고
    • Grazing collisions of black holes via the excision of singularities
    • Brandt S et al 2000 Grazing collisions of black holes via the excision of singularities Phys. Rev. Lett. 85 5496 (Preprint gr-qc/0009047)
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.26 , pp. 5496
    • Brandt, S.1    Al, E.2
  • 8
    • 33644547732 scopus 로고    scopus 로고
    • Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision
    • Sperhake U, Kelly B, Laguna P, Smith K L and Schnetter E 2005 Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision Phys. Rev. D 71 124042 (Preprint gr-qc/0503071)
    • (2005) Phys. Rev. , vol.71 , Issue.12 , pp. 124042
    • Sperhake, U.1    Kelly, B.2    Laguna, P.3    Smith, K.L.4    Schnetter, E.5
  • 9
    • 33746652409 scopus 로고
    • Thornburg J 1993 Numerical relativity in black hole spacetimes PhD Thesis University of British Columbia, Vancouver, British Columbia
    • (1993) PhD Thesis
    • Thornburg, J.1
  • 11
    • 4243654605 scopus 로고    scopus 로고
    • Stable characteristic evolution of generic three-dimensional single-black-hole spacetimes
    • Gómez R et al 1998 Stable characteristic evolution of generic three-dimensional single-black-hole spacetimes Phys. Rev. Lett. 80 3915 (Preprint gr-qc/9801069)
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.18 , pp. 3915
    • Gómez, R.1
  • 12
    • 4043048680 scopus 로고    scopus 로고
    • Black hole excision with multiple grid patches
    • Thornburg J 2004 Black hole excision with multiple grid patches Class. Quantum Grav. 21 3665 (Preprint gr-qc/0404059)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.15 , pp. 3665
    • Thornburg, J.1
  • 16
    • 0242341762 scopus 로고    scopus 로고
    • The Lazarus project: A pragmatic approach to binary black hole evolutions
    • Baker J, Campanelli M and Lousto C O 2002 The Lazarus project: a pragmatic approach to binary black hole evolutions Phys. Rev. D 65 044001 (Preprint gr-qc/0104063)
    • (2002) Phys. Rev. , vol.65 , Issue.4 , pp. 044001
    • Baker, J.1    Campanelli, M.2    Lousto, C.O.3
  • 18
    • 0037105306 scopus 로고    scopus 로고
    • Exploiting gauge and constraint freedom in hyperbolic formulations of Einstein's equations
    • Sarbach O and Tiglio M 2002 Exploiting gauge and constraint freedom in hyperbolic formulations of Einstein's equations Phys. Rev. D 66 064023 (Preprint gr-qc/0205086)
    • (2002) Phys. Rev. , vol.66 , Issue.6 , pp. 064023
    • Sarbach, O.1    Tiglio, M.2
  • 21
    • 1842479966 scopus 로고    scopus 로고
    • Evolutions in 3D numerical relativity using fixed mesh refinement
    • Schnetter E, Hawley S H and Hawke I 2004 Evolutions in 3D numerical relativity using fixed mesh refinement Class. Quantum Grav. 21 1465 (Preprint gr-qc/0310042)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.6 , pp. 1465
    • Schnetter, E.1    Hawley, S.H.2    Hawke, I.3
  • 22
    • 33746629230 scopus 로고    scopus 로고
    • Mesh Refinement with Carpet, URL: http://www.carpetcode.org/
  • 24
    • 0001473098 scopus 로고
    • Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems. Methodology and application to high-order compact schemes
    • Carpenter M, Gottlieb D and Abarbanel S 1994 Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems. methodology and application to high-order compact schemes J. Comput. Phys. 111 220
    • (1994) J. Comput. Phys. , vol.111 , Issue.2 , pp. 220
    • Carpenter, M.1    Gottlieb, D.2    Abarbanel, S.3
  • 25
    • 0000926967 scopus 로고    scopus 로고
    • A stable and conservative interface treatment of arbitrary spatial accuracy
    • Carpenter M, Nordström J and Gottlieb D 1999 A stable and conservative interface treatment of arbitrary spatial accuracy J. Comput. Phys. 148 341
    • (1999) J. Comput. Phys. , vol.148 , Issue.2 , pp. 341
    • Carpenter, M.1    Nordström, J.2    Gottlieb, D.3
  • 26
    • 0035841069 scopus 로고    scopus 로고
    • High-order finite difference methods, multidimensional linear problems and curvilinear coordinates
    • Nordström J and Carpenter M 2001 High-order finite difference methods, multidimensional linear problems and curvilinear coordinates J. Comput. Phys. 173 149
    • (2001) J. Comput. Phys. , vol.173 , Issue.1 , pp. 149
    • Nordström, J.1    Carpenter, M.2
  • 27
    • 2342423048 scopus 로고    scopus 로고
    • Some mathematical and numerical questions connected with first and second order time dependent systems of partial differential equations
    • Kreiss H O and Ortiz O E 2002 Some mathematical and numerical questions connected with first and second order time dependent systems of partial differential equations Lect. Notes Phys. 604 359 (Preprint gr-qc/0106085)
    • (2002) Lect. Notes Phys. , vol.604 , pp. 359
    • Kreiss, H.O.1    Ortiz, O.E.2
  • 28
    • 4744357416 scopus 로고    scopus 로고
    • Hyperbolicity of the BSSN system of Einstein evolution equations
    • Sarbach O, Calabrese G, Pullin J and Tiglio M 2002 Hyperbolicity of the BSSN system of Einstein evolution equations Phys. Rev. D 66 064002 (Preprint gr-qc/0205064)
    • (2002) Phys. Rev. , vol.66 , Issue.6 , pp. 064002
    • Sarbach, O.1    Calabrese, G.2    Pullin, J.3    Tiglio, M.4
  • 29
    • 42749105439 scopus 로고    scopus 로고
    • Strongly hyperbolic second order Einstein's evolution equations
    • Nagy G, Ortiz O E and Reula O A 2004 Strongly hyperbolic second order Einstein's evolution equations Phys. Rev. D 70 044012 (Preprint gr-qc/0402123)
    • (2004) Phys. Rev. , vol.70 , pp. 044012
    • Nagy, G.1    Ortiz, O.E.2    Reula, O.A.3
  • 30
    • 42749104755 scopus 로고    scopus 로고
    • On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations
    • Beyer H and Sarbach O 2004 On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations Phys. Rev. D 70 104004 (Preprint gr-qc/0406003)
    • (2004) Phys. Rev. , vol.70 , Issue.10 , pp. 104004
    • Beyer, H.1    Sarbach, O.2
  • 32
    • 33644960507 scopus 로고    scopus 로고
    • Harmonic initial-boundary evolution in general relativity
    • Babiuc M C, Szilagyi B and Winicour J 2006 Harmonic initial-boundary evolution in general relativity Phys. Rev. D 73 064017 (Preprint gr-qc/0601039)
    • (2006) Phys. Rev. , vol.73 , pp. 064017
    • Babiuc, M.C.1    Szilagyi, B.2    Winicour, J.3
  • 34
    • 0026122066 scopus 로고
    • What every computer scientist should know about floating-point arithmetic
    • Goldberg D 1991 What every computer scientist should know about floating-point arithmetic ACM Comput. Surv. 23 5 (http://citeseer.ist.psu.edu/goldberg91what.html)
    • (1991) ACM Comput. Surv. , vol.23 , Issue.1 , pp. 5
    • Goldberg, D.1
  • 36
    • 29044433670 scopus 로고    scopus 로고
    • Multi-block simulations in general relativity: High-order discretizations, numerical stability, and applications
    • 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 5283 (Preprint gr-qc/0507004)
    • (2005) Class. Quantum Grav. , vol.22 , Issue.24 , pp. 5283
    • Lehner, L.1    Reula, O.2    Tiglio, M.3
  • 37
    • 33746605870 scopus 로고    scopus 로고
    • GridPro Program Development Company http://www.gridpro.com
  • 40
    • 3242716141 scopus 로고    scopus 로고
    • Initial data for numerical relativity
    • Cook G B 2000 Initial data for numerical relativity Living Rev. Rel. 3 5 (http://relativity.livingreviews.org/Articles/lrr-2000-5/index.html)
    • (2000) Living Rev. Rel. , vol.3 , pp. 5
    • Cook, G.B.1
  • 41
    • 3843147142 scopus 로고    scopus 로고
    • Highly damped quasinormal modes of Kerr black holes: A complete numerical investigation
    • Berti E, Cardoso V and Yoshida S 2004 Highly damped quasinormal modes of Kerr black holes: a complete numerical investigation Phys. Rev. D 69 124018 (Preprint gr-qc/0401052)
    • (2004) Phys. Rev. , vol.69 , Issue.12 , pp. 124018
    • Berti, E.1    Cardoso, V.2    Yoshida, S.3
  • 42
    • 33749159494 scopus 로고    scopus 로고
    • Quasinormal modes of Kerr-Newman black holes: Coupling of electromagnetic and gravitational perturbations
    • Berti E and Kokkotas K D 2005 Quasinormal modes of Kerr-Newman black holes: coupling of electromagnetic and gravitational perturbations Phys. Rev. D 71 124008 (Preprint gr-qc/0502065)
    • (2005) Phys. Rev. , vol.71 , Issue.12 , pp. 124008
    • Berti, E.1    Kokkotas, K.D.2
  • 44
    • 42749102347 scopus 로고    scopus 로고
    • 3D simulations of Einstein's equations: Symmetric hyperbolicity, live gauges and dynamic control of the constraints
    • Tiglio M, Lehner L and Neilsen D 2004 3d simulations of Einstein's equations: symmetric hyperbolicity, live gauges and dynamic control of the constraints Phys. Rev. D 70 104018 (Preprint gr-qc/0312001)
    • (2004) Phys. Rev. , vol.70 , Issue.10 , pp. 104018
    • Tiglio, M.1    Lehner, L.2    Neilsen, D.3
  • 45
    • 33746291149 scopus 로고    scopus 로고
    • Boundary conditions for Einstein's field equations: Analytical and numerical analysis
    • Sarbach O and Tiglio M 2005 Boundary conditions for Einstein's field equations: analytical and numerical analysis J. Hyperbolic Diff. Eqns 2 839 (Preprint gr-qc/0412115)
    • (2005) J. Hyperbolic Diff. Eqns , vol.2 , Issue.4 , pp. 839
    • Sarbach, O.1    Tiglio, M.2
  • 46
    • 17044424216 scopus 로고    scopus 로고
    • Cauchy boundaries in linearized gravitational theory
    • Szilgyi B, Gómez R, Bishop N T and Winicour J 2000 Cauchy boundaries in linearized gravitational theory Phys. Rev. D 62 104006 (Preprint gr-qc/9912030)
    • (2000) Phys. Rev. , vol.62 , Issue.10 , pp. 104006
    • Szilgyi, B.1    Gómez, R.2    Bishop, N.T.3    Winicour, J.4
  • 47
    • 84859697031 scopus 로고    scopus 로고
    • Boundary conditions in linearized harmonic gravity
    • Szilagyi B, Schmidt B and Winicour J 2002 Boundary conditions in linearized harmonic gravity Phys. Rev. D 65 064015 (Preprint gr-qc/0106026)
    • (2002) Phys. Rev. , vol.65 , Issue.6 , pp. 064015
    • Szilagyi, B.1    Schmidt, B.2    Winicour, J.3
  • 48
    • 0742323874 scopus 로고    scopus 로고
    • Towards standard testbeds for numerical relativity
    • Alcubierre M et al 2004b Towards standard testbeds for numerical relativity Class. Quantum Grav. 21 589 (Preprint gr-qc/0305023)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.2 , pp. 589
    • Alcubierre, M.1    Al, E.2
  • 50
    • 33646608955 scopus 로고
    • Stability of a Schwarzschild singularity
    • Regge T and Wheeler J 1957 Stability of a Schwarzschild singularity Phys. Rev. 108 1063
    • (1957) Phys. Rev. , vol.108 , Issue.4 , pp. 1063
    • Regge, T.1    Wheeler, J.2
  • 51
    • 0000358125 scopus 로고
    • Linearized quadrupole waves in general relativity and the motion of test particles
    • Teukolsky S A 1982 Linearized quadrupole waves in general relativity and the motion of test particles Phys. Rev. D 26 745
    • (1982) Phys. Rev. , vol.26 , Issue.4 , pp. 745
    • Teukolsky, S.A.1
  • 52
    • 0003706460 scopus 로고    scopus 로고
    • Anderson E et al 1999 LAPACK Users' Guide 3rd edn (Philadelphia, PA: Society for Industrial and Applied Mathematics) ISBN 0-89871-447-8 (paperback)
    • (1999) LAPACK Users' Guide
    • Anderson, E.1
  • 56
    • 0001873476 scopus 로고
    • LAM: An open cluster environment for MPI
    • Burns G, Daoud R and Vaigl J 1994 LAM: an open cluster environment for MPI Proc. Supercomputing Symposium pp 379-386 (http://www.lam-mpi.org/download/files/lam-papers.tar.gz)
    • (1994) Proc. Supercomputing Symposium , pp. 379-386
    • Burns, G.1    Daoud, R.2    Vaigl, J.3
  • 59
    • 0030243005 scopus 로고    scopus 로고
    • A high-performance, portable implementation of the MPI message passing interface standard
    • 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
    • (1996) Parallel Comput. , vol.22 , Issue.6 , pp. 789
    • Gropp, W.1    Lusk, E.2    Doss, N.3    Skjellum, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.