Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...356..580h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 356, June 20, 1990, p. 580-590.
Astronomy and Astrophysics
Astrophysics
17
Accretion Disks, Astronomical Models, Angular Momentum, Density Distribution, Flow Stability, Hydrodynamics
Scientific paper
Nonaxisymmetric instabilities in accretion disks are investigated in terms of the slender, non-self-gravitating, ideal fluid torus model. Nonlinear simulations are carried out in two and tree dimensions, using Cartesian-grid finite differencing. The fastest growing instability is the principal mode. This mode saturates with the formation of ellipsoidal density distributions, designated as 'planets'. The simulations provide evidence for nonlinear mode-mode coupling. When several wavenumbers m are unstable, multiple 'planets' form that subsequently merge. Sources of numerical error are examined, and the effects are contrasted with those of the physical instability. The same qualitative evolution is seen in both the two- and the three-dimensional simulations, even though strict vertical hydrostatic equilibrium is no longer rigorously maintained after mode saturation.
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