Implementing a Fully Conservative Lagrangian–Euler Scheme for Two-Dimensional Problems of Magnetic Gas Dynamics

An algorithm for the numerical solution of the equations of magnetic gas dynamics (MGD) approximated by a fully conservative Lagrangian–Euler difference scheme (FCDS) is considered. The complete system of equations for the dynamics of a high-temperature medium is solved taking into account the conductive (electronic, ionic) and radiative heat transfer. The calculation stage related to computations on a Lagrangian moving grid is implemented based on implicit approximations. The corresponding difference equations are solved by an iterative method with a sequential allowance for physical processes. Convergence estimates are obtained for various combinations of difference equations grouped according to physical processes. The obtained estimates are validated by computational experiments with model and applied problems.