Supercomputer simulation of self-gravitating media

A numerical 3D-model for investigation of non-stationary processes in a gravitating system with gas has been created. The model is based on the solution of the Poisson equation for gravitational field, the Vlasov-Liouville equation for solids and equations of gas dynamics. For solution of the Poisson equation at each timestep an efficient iterational solver is created with extrapolation of the evolutionary prosesses under study. It provides fast convergence at high precision. Parallelisation technique and load balancing strategy are discussed.