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HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
Open accessAbstract
We describe a conservative, shock-capturing scheme for evolving the equations of general relativistic magnetohydrodynamics. The fluxes are calculated using the Harten, Lax, & van Leer scheme. A variant of constrained transport, proposed earlier by Tóth, is used to maintain a divergence-free magnetic field. Only the covariant form of the metric in a coordinate basis is required to specify the geometry. We describe code performance on a full suite of test problems in both special and general relativity. On smooth flows we show that it converges at second order. We conclude by showing some results from the evolution of a magnetized torus near a rotating black hole.
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Cited by
First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
The Event Horizon Telescope Collaboration, Akiyama, K., Alberdi, A., Alef, W., Asada, K., Azulay, R., Baczko, A.-K., Ball, D., Baloković, M., Barrett, J., et al. (2019) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ab0ec7 · Cited by 4,205
Self-citationHot Accretion Flows Around Black Holes
Yuan, F., & Narayan, R. (2014) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-082812-141003 · Cited by 1,529
First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
The Event Horizon Telescope Collaboration, Akiyama, K., Alberdi, A., Alef, W., Asada, K., Azulay, R., Baczko, A.-K., Ball, D., Baloković, M., Barrett, J., et al. (2019) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ab0f43 · Cited by 1,424
Self-citationEfficient generation of jets from magnetically arrested accretion on a rapidly spinning black hole
Tchekhovskoy, A., Narayan, R., & McKinney, J. C. (2011) · Monthly Notices of the Royal Astronomical Society: Letters · doi:10.1111/j.1745-3933.2011.01147.x · Cited by 1,254
Self-citationFoundations of Black Hole Accretion Disk Theory
Abramowicz, M. A., & Fragile, P. C. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-1 · Cited by 668
Metadata
- Authors
- Gammie, C. F., McKinney, J. C., & Toth, G.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2003-05-20
- Volume
- 589
- Issue
- 1
- Pages
- 444-457
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2078887476
- Cited by
- 798
- References
- 0
- FWCI
- 23.40
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Gammie, C. F., McKinney, J. C., & Toth, G. (2003). HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics. The Astrophysical Journal. https://doi.org/10.1086/374594
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