Numerical study of nonspherical black hole accretion. II. Finite differencing and code calibration

Journal Article · Fri Jun 01 04:00:00 EDT 1984 · Astrophys. J., Suppl. Ser.; (United States)

DOI:https://doi.org/10.1086/190953· OSTI ID:6675429

Hawley, J F; Smarr, L L; Wilson, J R

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), Journal Name: Astrophys. J., Suppl. Ser.; (United States) Vol. 55:2; ISSN APJSA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCRETION DISKS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
ANNULAR SPACE
BLACK HOLES
CONFIGURATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
FLOW MODELS
FLUID MECHANICS
GRAVITATIONAL COLLAPSE
HYDRODYNAMICS
ITERATIVE METHODS
MATHEMATICAL MODELS
MECHANICS
NUMERICAL SOLUTION
SPACE
TOROIDAL CONFIGURATION