Numerical study of nonspherical black hole accretion. II. Finite differencing and code calibration
We describe in detail our two-dimensional, axisymmetric computer code for calculating fully relativistic ideal gas hydrodynamics around a Kerr black hole. This code is being used to study fully dynamic inviscid fluid accretion onto black holes, as well as the evolution and developement of nonlinear instabilities in pressure-supported accretion disks. The numerical techniques are developed and discussed. A variety of alternate differencing schemes are compared on an analytic test bed. Some discussion is devoted to general issues in finite differencing. The working code is calibrated using analytically solvable accretion problems, including the radial accretion of dust and of fluid with pressure (Bondi accretion). Two-dimensional test problems include the spiraling infall of low angular momentum fluid, the formation of a pressure-supported torus, and the stable evolution of a torus.
- Research Organization:
- Astronomy Department, University of Illinois
- OSTI ID:
- 6675429
- Journal Information:
- Astrophys. J., Suppl. Ser.; (United States), Vol. 55:2
- Country of Publication:
- United States
- Language:
- English
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TIME EVOLUTION OF THE THREE-DIMENSIONAL ACCRETION FLOWS: EFFECTS OF THE ADIABATIC INDEX AND OUTER BOUNDARY CONDITION
Numerical study of nonspherical black hole accretion. I. Equations and test problems
Related Subjects
GENERAL PHYSICS
BLACK HOLES
FLOW MODELS
ACCRETION DISKS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
FINITE DIFFERENCE METHOD
GRAVITATIONAL COLLAPSE
HYDRODYNAMICS
TOROIDAL CONFIGURATION
ANNULAR SPACE
CONFIGURATION
EQUATIONS
FLUID MECHANICS
ITERATIVE METHODS
MATHEMATICAL MODELS
MECHANICS
NUMERICAL SOLUTION
SPACE
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