Contemporary Numerical Models in Gravitational Gas Dynamics

The analysis of contemporary numerical models of non-stationary 3D processes in gravitating gas systems. The simulation of gas dynamics in astrophysics has a number of important features. Thus some of valid computational fluid dynamics methods are not appliable to the problems under discussion. The state-of-art of simulation means 3D computations with high resolution level of the models, thus supercomputers should applied. In such a way the problems of supercomputer implementation of computational fluid dynamics methods are considered. The numerical implementations of 3D model of gravitational gas dynamics are included into the review, as well as a number of free packages. The most popular methods today are the Lagrangian gridless Smoothed Particle Hydrodynamics (SPH) and the Eulerian methods with adaptive mesh refinement (AMR). Various properties of this methods are listed as well as the impact of these properties on the solution.