Modeling of problems in magnetohydrodynamics on high performance computational systems

The work presented here discusses an algorithm for solving problems of magnetic gas dynamics which is well adapted to the architecture of computer systems with extramaximal parallelism. The algorithm is based on a kinetic model describing the interaction of an ensemble of charged and neutral particles, as well as a magnetic field. As an illustration, the results of a 3D calculation of motion of molten sodium in a channel conjugated with a cavern are given.