Computer Science – Numerical Analysis
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pasj...46...73y&link_type=abstract
PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 46, no. 1, p. 73-86
Computer Science
Numerical Analysis
2
Accretion Disks, Astronomical Models, Black Holes (Astronomy), Magnetic Field Configurations, Magnetohydrodynamic Flow, Magnetohydrodynamic Waves, Shock Waves, Event Horizon, Mach Number, Numerical Analysis, Relativity, X Rays
Scientific paper
The formation of a shock wave triggered by magnetic stress has been studied by numerical calculations. The radially symmetric accretion onto a black hole can possibly produce a shock wave near to the event horizon. The magnetohydrodynamical accretion forms a distribution for the Alfvenic Mach number, MA, in which the upper stream is super-Alfvenic and the downstream is sub-Alfvenic. A perturbation near to the Alfven point nonlinearly grows and evolves to a shock wave. The asymmetry of the flow increases the critical Mach number, MAC, at which the flow becomes unstable and produces the discontinuity front of the shock wave. We calculated the magnetohydrodynamical accretion with the initial condition that the magnetic field and the fluid are homogeneus around a black hole and the fluid is static. The accretion produces the peak of the magnetic pressure near to the symmetric axis. The magnetic pressure causes the azimuthal motion. When the Alfvenic Mach number reduces to ten, MA = 10, the rapid expansion starts from the symmetric axis to the equatorial plane and forms the discontinuity front of the shock wave. The expanding shock wave is reflected at the equatorial plane and propagates onto the upper stream. Even a weak magnetic field, whose energy density is one-hundredth that of the density of the kinetic energy of the falling fluid, can generate a shock wave. The temperature behind the shock front reaches the virial temperature. The shock waves formed at the vicinity of the event horizon may produce a large amount of X-ray emission.
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