The two-dimensional numerical code for axisymmetric self-gravitating MHD-flows.

The numerical method for solution of the gravitational magnetogasdynamical equations has been developed. The two-dimensional code for self-gravitating MHD-flows simulation on the Eulerian cylindrical grid is constructed. This code is based on the explicit quasimonotonic high resolution TVD-scheme. The results of test computations show that the code has a good quality and can be applied to a wide class of plasma physics and astrophysics problems.