Numerical Simulation of Viscous Accretion Disks

Physics

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Smoothed Particle Hydrodynamics

Scientific paper

A two-and three-dimensional numerical hydrodynamics FORTRAN code is developed to model viscous accretion disks, employing the method of smoothed particle hydrodynamics. The effective shear viscosity present in the code is evaluated. Using a polytropic equation of state, models of self-gravitating accretion disks are evolved with central mass to disk ratios of 1 and 3, with ratios of specific heats of 2 and 5/3, and with an artificial viscosity parameter of 1, 0.5, 0.25. From these models it is found that a characteristic mass accretion rate, constant with time, is maintained by the accretion disks, and that mass accretion is inversely proportional to the strength of the local shear viscous force. This is a consequence of the effect of local viscous forces upon the global non-axisymmetric modes that primarily drive accretion in these disks. In addition, the formation of satellites is observed in models which also develop a dominating m = 1 mode. The relevance of these satellites to planet formation is speculated.

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