Statistics – Computation
Scientific paper
Apr 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.225..677h&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 225, April 1, 1987, p. 677-694.
Statistics
Computation
58
Accretion Disks, Black Holes (Astronomy), Computational Astrophysics, Magnetohydrodynamic Stability, Nonlinear Evolution Equations, Toroidal Plasmas, Axisymmetric Bodies, Computational Fluid Dynamics, Finite Difference Theory
Scientific paper
A finite-difference hydrodynamics code is used to calculate the non-linear, time-dependent evolution of unstable non-axisymmetric modes in a narrow torus orbiting a black hole. The simulation is restricted to two dimensions in (r, φ) by assuming vertical hydrostatic equilibrium in the torus. The code is tested using axisymmetric radial breathing mode solutions, and by comparison with results obtained from linear perturbation analysis. The effects of differencing technique and grid resolution are considered. The evolution of three unstable modes demonstrates that the growth rate predicted by linear theory remains valid in the non-linear regime even for perturbations approaching δρ/ρ = 1. The end-point of the growth of an azimuthal mode of order m is the breakup of the disc into a series of m orbiting blobs, or "planets".
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