Supercomputer simulation of a gravitating gaseous circumstellar disk using SPH

New parallel algorithm is developed for simulating the dynamics of a thin circumstellar disk. It is based on the combination of a gridless method of smoothed particle hydrodynamics (SPH) and the grid-based convolution method for calculating a gravitational potential. To develop the algorithm, we made software profiling of numerical experiments aimed at simulating gravitational fragmentation and subsequent inward migration of dense clumps onto the star.