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We present SphericalNR, a new framework for the publicly available Einstein Toolkit that numerically solves the Einstein field equations coupled to the equations of general relativistic magnetohydrodynamics (GRMHD) in a 3+1 split of spacetime in spherical coordinates without symmetry assumptions.
F. Cipolletta, J. V. Kalinani, B. Giacomazzo, and R. Ciolfi, (2019), arXiv:1912.04794 [astro-ph.HE]
1912
Earlier work this paper cites.
1912
Earlier work this paper cites.
G. Darmois, Mémorial des sciences mathématiques 25
1927
Earlier work this paper cites.
S. K. Godunov, Mat. Sb. 89
1959
Earlier work this paper cites.
A. Komar, Physical Review 113
1959
Earlier work this paper cites.
P. Lax and B. Wendroff, Commun. Pure Appl. Math. 13
1960
Earlier work this paper cites.
N. Rosen, Annals of Physics 22
1963
Earlier work this paper cites.
R. P. Kerr, Physical Review Letters 11
1963
Earlier work this paper cites.
F. H. J. Cornish, Proceedings of the Royal Society of London Series A 282
1964
Earlier work this paper cites.
R. Shapiro, Reviews of Geophysics and Space Physics 8
1970
Earlier work this paper cites.
D. Christodoulou, Physical Review Letters 25
1970
Earlier work this paper cites.
N. Rosen, General Relativity and Gravitation 4
1973
Earlier work this paper cites.
H.-O. Kreiss and J. Oliger, Methods for the approximate solution of time dependent problems , 10 (International Council of Scientific Unions, World Meteorological Organization, 1973)
1973
Earlier work this paper cites.
A. P. Lightman, W. H. Press, R. H. Price, and S. A. Teukolsky, Problem Book in Relativity and Gravitation (Princeton University Press, 1975)
1975
Earlier work this paper cites.
B. van Leer, Journal of Computational Physics 23
1977
Earlier work this paper cites.
J. U. Brackbill and D. C. Barnes, Journal of Computational Physics 35
1980
Earlier work this paper cites.
A. Harten, Journal of Computational Physics 49
1983
Earlier work this paper cites.
P. Colella and P. R. Woodward, Journal of Computational Physics 54
1984
Earlier work this paper cites.
J. Katz, Classical and Quantum Gravity 2
1985
Earlier work this paper cites.
P. L. Roe, Annual Review of Fluid Mechanics 18
1986
Earlier work this paper cites.
T. Nakamura, K. Oohara, and Y. Kojima, Progress of Theoretical Physics Supplement 90
1987
Earlier work this paper cites.
E. Nahmad-Achar and B. F. Schutz, General Relativity and Gravitation 19
1987
Earlier work this paper cites.
W. F. Noh, Journal of Computational Physics 72
1987
Earlier work this paper cites.
J. Katz, D. Lynden-Bell, and W. Israel, Classical and Quantum Gravity 5
1988
Earlier work this paper cites.
C. R. Evans and J. F. Hawley, Astrophys. J. 332
1988
Earlier work this paper cites.
C.-W. Shu and S. Osher, Journal of Computational Physics 77
1988
Earlier work this paper cites.
B. Einfeldt, SIAM Journal on Numerical Analysis 25
1988
Earlier work this paper cites.
R. Mönchmeyer and E. Müller, Astron. Astrophys. 217
1989
Earlier work this paper cites.
P. R. Gent and M. A. Cane, Journal of Computational Physics 81
1989
Earlier work this paper cites.
J. Katz and A. Ori, Classical and Quantum Gravity 7
1990
Earlier work this paper cites.
R. J. LeVeque, Numerical methods for conservation laws , Vol. 132 (Springer, 1992)
1992
Earlier work this paper cites.
E. Gourgoulhon and S. Bonazzola, Classical and Quantum Gravity 11
1994
Earlier work this paper cites.
M. Shibata and T. Nakamura, Phys. Rev. D 52
1995
Earlier work this paper cites.
C. Bona, J. Massó, E. Seidel, and J. Stela, Physical Review Letters 75
1995
Earlier work this paper cites.
N. Stergioulas and J. L. Friedman, Astrophys. J. 444
1995
Earlier work this paper cites.
J. R. Wilson, G. J. Mathews, and P. Marronetti, Phys. Rev. D 54
1996
Earlier work this paper cites.
J. M. Greenberg and A. Y. Leroux, SIAM Journal on Numerical Analysis 33
1996
Earlier work this paper cites.
C. Ronchi, R. Iacono, and P. Paolucci, Journal of Computational Physics 124
1996
Earlier work this paper cites.
J. V. Romero, J. M. A. Ibanez, J. M. A. Marti, and J. A. Miralles, Astrophys. J. 462
1996
Earlier work this paper cites.
F. Banyuls, J. A. Font, J. M. Ibáñez, J. M. Martí, and J. A. Miralles, Astrophys. J. 476
1997
Earlier work this paper cites.
A. Suresh and H. T. Huynh, Journal of Computational Physics 136
1997
Earlier work this paper cites.
A. Harten, B. Engquist, S. Osher, and S. R. Chakravarthy, Journal of Computational Physics 131
1997
Earlier work this paper cites.
R. Gómez, L. Lehner, P. Papadopoulos, and J. Winicour, Classical and Quantum Gravity 14
1997
Earlier work this paper cites.
N. T. Bishop, R. Gómez, L. Lehner, M. Maharaj, and J. Winicour, Phys. Rev. D 56
1997
Earlier work this paper cites.
J. M. Martí, E. Müller, J. A. Font, J. M. Z. Ibáñez, and A. Marquina, Astrophys. J. 479
1997
Earlier work this paper cites.
C.-W. Shu, in Advanced numerical approximation of nonlinear hyperbolic equations (Springer, 1998) pp. 325–432
1998
Earlier work this paper cites.
C. Bona, J. Masso, E. Seidel, and P. Walker, arXiv e-prints , gr-qc/9804052 (1998), arXiv:gr-qc/9804052 [gr-qc]
1998
Earlier work this paper cites.
S. Gottlieb and C. W. Shu, Mathematics of Computation 67
1998
Earlier work this paper cites.
S. Koide, K. Shibata, and T. Kudoh, Astrophys. J. 522
1999
Earlier work this paper cites.
T. W. Baumgarte and S. L. Shapiro, Phys. Rev. D 59
1999
Earlier work this paper cites.
P. Papadopoulos and J. A. Font, (1999), gr-qc/9912054
1999
Earlier work this paper cites.
M. A. Aloy, J. M. Ibáñez, J. M. Martí, and E. Müller, Astrophys. J. Supplement Series 122
1999
Earlier work this paper cites.
S. S. Komissarov, Mon. Not. R. Astron. Soc. 303
1999
Earlier work this paper cites.
M. Shibata and K. ō. Uryū, Phys. Rev. D 61
2000
Earlier work this paper cites.
G. Tóth, Journal of Computational Physics 161
2000
Earlier work this paper cites.
D. W. Neilsen and M. W. Choptuik, Classical and Quantum Gravity 17
2000
Earlier work this paper cites.
W. J. Rider, Journal of Computational Physics 162
2000
Earlier work this paper cites.
M. Shibata, T. W. Baumgarte, and S. L. Shapiro, Phys. Rev. D 61
2000
Earlier work this paper cites.
H. Dimmelmeier, General relativistic collapse of rotating stellar cores in axisymmetry , Ph.D. thesis , Technische Universität München (2001)
2001
Earlier work this paper cites.
J. P. Boyd, Boyd, J.P. 2001, Chebyshev and Fourier Spectral Methods, 2nd edn., Dover books on mathematics (Mineola, NY: Dover Publications), ISBN 0486411834. (2001) p. 2001
2001
Earlier work this paper cites.
S. Gottlieb, C.-W. Shu, and E. Tadmor, SIAM review 43
2001
Earlier work this paper cites.
2002
Earlier work this paper cites.
A. Dedner, F. Kemm, D. Kröner, C.-D. Munz, T. Schnitzer, and M. Wesenberg, Journal of Computational Physics 175
2002
Earlier work this paper cites.
2002
Earlier work this paper cites.
H.-J. Yo, T. W. Baumgarte, and S. L. Shapiro, Phys. Rev. D 66
2002
Earlier work this paper cites.
J.-P. De Villiers and J. F. Hawley, Astrophys. J. 589
2003
Earlier work this paper cites.
C. F. Gammie, J. C. McKinney, and G. Tóth, Astrophys. J. 589
2003
Earlier work this paper cites.
C. Bona, T. Ledvinka, C. Palenzuela, and M. Žáček, Phys. Rev. D 67
2003
Earlier work this paper cites.
M. Alcubierre, B. Brügmann, P. Diener, M. Koppitz, D. Pollney, E. Seidel, and R. Takahashi, Phys. Rev. D 67
2003
Cited alongside, same era.
T. W. Baumgarte and S. L. Shapiro, Astrophys. J. 585
2003
Cited alongside, same era.
T. Goodale, G. Allen, G. Lanfermann, J. Massó, T. Radke, E. Seidel, and J. Shalf, in Proceedings of the 5th International Conference on High Performance Computing for Computational Science , edited by J. M. L. M. Palma, A. A. Sousa, J. Dongarra, and V. Hernández (Springer Berlin Heidelberg, Berlin, Heidelberg, 2003) Chap. The Cactus Framework and Toolkit: Design and Applications, pp. 197–227
2003
Cited alongside, same era.
Y. Stiriba and R. Donat, Computers & Mathematics with Applications 46
2003
Cited alongside, same era.
O. Dreyer, B. Krishnan, D. Shoemaker, and E. Schnetter, Phys. Rev. D67
2003
Cited alongside, same era.
M. Shibata and K. Taniguchi, Living Reviews in Relativity 14
2011
Later among the works it cites.
P. McCorquodale and P. Colella, Communications in Applied Mathematics and Computational Science 6
2011
Later among the works it cites.
M. Castro, B. Costa, and W. S. Don, Journal of Computational Physics 230
2011
Later among the works it cites.
B. Giacomazzo, L. Rezzolla, and L. Baiotti, Phys. Rev. D 83
2011
Later among the works it cites.
O. Korobkin, E. B. Abdikamalov, E. Schnetter, N. Stergioulas, and B. Zink, Phys. Rev. D 83
2011
Later among the works it cites.
K. Beckwith and J. M. Stone, Astrophys. J. Supplement Series 193
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. S. Komissarov, Mon. Not. R. Astron. Soc. 350
2004
Cited alongside, same era.
S. Bonazzola, E. Gourgoulhon, P. Grandclément, and J. Novak, Phys. Rev. D 70
2004
Cited alongside, same era.
M. Shibata, K. Uryū, and J. L. Friedman, Phys. Rev. D 70
2004
Cited alongside, same era.
C. Bona and C. Palenzuela, Phys. Rev. D 69
2004
Cited alongside, same era.
E. Schnetter, S. H. Hawley, and I. Hawke, Classical and Quantum Gravity 21
2004
Cited alongside, same era.
A. Kageyama and T. Sato, Geochemistry, Geophysics, Geosystems 5
2004
Cited alongside, same era.
C. Jablonowski, Adaptive Grids in Weather and Climate Modeling, Ph.D. dissertation, University of Michigan, Ann Arbor, MI (2004)
2004
Cited alongside, same era.
2011
Later among the works it cites.
I. Cordero-Carrión, P. Cerdá-Durán, and J. M. Ibáñez, Phys. Rev. D 85
2012
Later among the works it cites.
J. A. Faber and F. A. Rasio, Living Reviews in Relativity 15
2012
Later among the works it cites.
A. Mignone, M. Flock, M. Stute, S. M. Kolb, and G. Muscianisi, Astron. Astrophys. 545
2012
Later among the works it cites.
P. J. Montero and I. Cordero-Carrión, Phys. Rev. D 85
2012
Later among the works it cites.
D. Alic, C. Bona-Casas, C. Bona, L. Rezzolla, and C. Palenzuela, Phys. Rev. D 85
2012
Later among the works it cites.
B. D. Farris, R. Gold, V. Paschalidis, Z. B. Etienne, and S. L. Shapiro, Phys. Rev. Lett. 109
2012
Later among the works it cites.
J. C. McKinney, A. Tchekhovskoy, and R. D. Blandford, Mon. Not. R. Astron. Soc. 423
2012
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
K. Dionysopoulou, D. Alic, C. Palenzuela, L. Rezzolla, and B. Giacomazzo, Phys. Rev. D 88
2013
Later among the works it cites.
A. Burrows, Reviews of Modern Physics 85
2013
Later among the works it cites.
M. A. Abramowicz and P. C. Fragile, Living Reviews in Relativity 16
2013
Later among the works it cites.
T. W. Baumgarte, P. J. Montero, I. Cordero-Carrión, and E. Müller, Phys. Rev. D 87
2013
Later among the works it cites.
D. Alic, W. Kastaun, and L. Rezzolla, Phys. Rev. D 88
2013
Later among the works it cites.
L. Rezzolla and O. Zanotti, Relativistic hydrodynamics (Oxford University Press, 2013)
2013
Later among the works it cites.
E. F. Toro, Riemann solvers and numerical methods for fluid dynamics: a practical introduction (Springer Science & Business Media, 2013)
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
P. J. Montero, T. W. Baumgarte, and E. Müller, Phys. Rev. D 89
2014
Later among the works it cites.
N. Sanchis-Gual, P. J. Montero, J. A. Font, E. Müller, and T. W. Baumgarte, Phys. Rev. D 89
2014
Later among the works it cites.
A. Mignone, Journal of Computational Physics 270
2014
Later among the works it cites.
D. Radice, L. Rezzolla, and F. Galeazzi, Classical and Quantum Gravity 31
2014
Later among the works it cites.
S. Rosswog, International Journal of Modern Physics D 24
2015
Later among the works it cites.
2015
Later among the works it cites.
R. Turolla, S. Zane, and A. L. Watts, Reports on Progress in Physics 78
2015
Later among the works it cites.
S. Mereghetti, J. Pons, and A. Melatos, Space Sci. Rev. 191
2015
Later among the works it cites.
T. W. Baumgarte, P. J. Montero, and E. Müller, Phys. Rev. D 91
2015
Later among the works it cites.
T. Melson, H.-T. Janka, and A. Marek, Astrophys. J. Letters 801
2015
Later among the works it cites.
B. Müller, Mon. Not. R. Astron. Soc. 453
2015
Later among the works it cites.
T. Dietrich and S. Bernuzzi, Phys. Rev. D 91
2015
Later among the works it cites.
V. Mewes, J. A. Font, and P. J. Montero, Phys. Rev. D 91
2015
Later among the works it cites.
C. J. White, J. M. Stone, and C. F. Gammie, Astrophys. J. Supplement Series 225
2016
Later among the works it cites.
B. D. Metzger, Living Reviews in Relativity 20
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
L. Baiotti and L. Rezzolla, Reports on Progress in Physics 80
2017
Later among the works it cites.
V. M. Kaspi and A. M. Beloborodov, Annual Review of Astronomy and Astrophysics 55
2017
Later among the works it cites.
P. Mocz, Journal of Computational Physics 328
2017
Later among the works it cites.
2017
Later among the works it cites.
B. P. Abbott et al. (LIGO Scientific, VIRGO), Phys. Rev. Lett. 118
2018
Later among the works it cites.
2018
Later among the works it cites.
F. Fambri, M. Dumbser, S. Köppel, L. Rezzolla, and O. Zanotti, Mon. Not. R. Astron. Soc. 477
2018
Later among the works it cites.
I. Ruchlin, Z. B. Etienne, and T. W. Baumgarte, Phys. Rev. D 97
2018
Later among the works it cites.
2018
Later among the works it cites.
I. Ruchlin, Z. B. Etienne, and T. W. Baumgarte, Phys. Rev. D97
2018
Later among the works it cites.
D. M. Siegel, P. Mösta, D. Desai, and S. Wu, Astrophys. J. 859
2018
Later among the works it cites.
K. Wu and H. Tang, Zeitschrift Angewandte Mathematik und Physik 69
2018
Later among the works it cites.
H. Shiokawa, R. M. Cheng, S. C. Noble, and J. H. Krolik, Astrophys. J. 861
2018
Later among the works it cites.
M. Liska, C. Hesp, A. Tchekhovskoy, A. Ingram, M. van der Klis, and S. Markoff, MNRAS: Letters 474
2018
Later among the works it cites.
M. D. Duez and Y. Zlochower, Reports on Progress in Physics 82
2019
Later among the works it cites.
The Einstein Toolkit developers, “The Einstein Toolkit,”
2019
Later among the works it cites.
D. Hilditch and A. Schoepe, Phys. Rev. D 99
2019
Later among the works it cites.
K. Wu and C.-W. Shu, Numer. Math. 142
2019
Later among the works it cites.
2019
Later among the works it cites.
B. Zhang, K. A. Sorathia, J. G. Lyon, V. G. Merkin, and M. Wiltberger, Journal of Computational Physics 376
2019
Later among the works it cites.
P. Cerdá-Durán, Private communication. (2019)
2019
Later among the works it cites.
M. Obergaulinger, Private communication. (2019)
2019
Later among the works it cites.
Z. B. Etienne, “ NRPy+
2020
Closest in time.
M. Avara, D. B. Bowen, S. C. Noble, T. Ryu, M. Campanelli, J. H. Krolik, V. Mewes, H. Shiokawa, R. Cheng, (2020), in preparation
2020
Closest in time.
Y. Zlochower et. al., (2020), in preparation
2020
Closest in time.