Statistics – Computation
Scientific paper
Jul 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...218...89k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 218, no. 1-2, July 1989, p. 89-101.
Statistics
Computation
18
Accretion Disks, Acoustic Instability, Astronomical Models, Computational Fluid Dynamics, Active Galactic Nuclei, Quasars, Sound Waves, Turbulent Flow, Viscosity
Scientific paper
A second-order two-dimensional hydrodynamical code has been developed to study the stability of the Keplerian flow, using a numerical viscosity for the stabilization of shock fronts and for the damping of small-scale fluctuations in the shear flow. The linear rates are reproduced by small amplitudes of the initial fluctuations. It is found that the system does not develop supersonic fluctuations, but saturates (mainly by the dissipation in the weak shock fronts) at a Mach number of 0.5 of the fluctuations. No evidence is found for the development of turbulence. In the saturated state, the unstable modes are found to have a viscosity of alpha of about (0.3-0.9) x 10 to the -3rd.
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