Implementation of the iterative algorithm for numerical solution of 2D magnetogasdynamics problems

We study an algorithm of making a numerical solution to the equations of magnetic gas dynamics (MHD), approximated by a completely conservative Eulerian-Lagrangian difference scheme (PCRS). The governing system describing a high-temperature matter dynamics is solved taking into account the conductive (electron, ion) and radiative heat transfer. The scheme is implicit for the calculations related to the “Lagrangian” moving grid, and the corresponding difference equations are solved by an iterative method with a consistent account of physical processes. We consider various combinations of difference equations grouped according to physical processes. The convergence criteria for the studied iteration process are obtained and validated through numerical experiments with model and application problems.