Journal
ASTROPHYSICAL JOURNAL
Volume 744, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0004-637X/744/2/187
Keywords
accretion, accretion disks; black hole physics; magnetohydrodynamics (MHD); methods: numerical
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Funding
- National Science Foundation [PHY 02-05155, AST 07-09246]
- NASA [NNX10AD03G]
- Richard and Margaret Romano Professorial scholarship
- NESS [NNX10AL24H]
- NASA [NNX10AD03G, 135909] Funding Source: Federal RePORTER
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Global, general relativistic magnetohydrodynamic (GRMHD) simulations of non-radiative, magnetized disks are widely used to model accreting black holes. We have performed a convergence study of GRMHD models computed with HARM3D. The models span a factor of four in linear resolution, from 96 x 96 x 64 to 384 x 384 x 256. We consider three diagnostics of convergence: (1) dimensionless shell-averaged quantities such as plasma beta; (2) the azimuthal correlation length of fluid variables; and (3) synthetic spectra of the source including synchrotron emission, absorption, and Compton scattering. Shell-averaged temperature is, except for the lowest resolution run, nearly independent of resolution; shell-averaged plasma beta decreases steadily with resolution but shows signs of convergence. The azimuthal correlation lengths of density, internal energy, and temperature decrease steadily with resolution but show signs of convergence. In contrast, the azimuthal correlation length of magnetic field decreases nearly linearly with grid size. We argue by analogy with local models, however, that convergence should be achieved with another factor of two in resolution. Synthetic spectra are, except for the lowest resolution run, nearly independent of resolution. The convergence behavior is consistent with that of higher physical resolution local model (shearing box) calculations and with the recent non-relativistic global convergence studies of Hawley et al.
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