Operator-difference schemes of magnetic gas dynamics

Solution numerical methods of magnetic gas dynamics (MGD) problems are considered in the paper aiming at the operator approach extension of the difference scheme theory to problems of two-dimensional magnetic gas dynamics in material coordinates. As a result methods of the operator recording of MGD net boundary-value problems and methods of their recording in the form of operator-difference equation systems have been developed. The new method of the reduction to a three-layer scheme for the investigation of linear models of MGD operator-difference schemes and the new iteration methods of the MGD implicit difference scheme solution have been created as well as the analysis general method of the non-linear difference scheme convergence. Effective methods and algorithms of the MGD-problem solution have been suggested as well as the new free-Lagrangian method. The plasma dynamic discharges in vacuum and gas, which made it possible to develop the physical theory of these discharges, have been investigated numerically for the first time. The new program complex of the MGD-problem wide class solution has been createdAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio