ALE-MHD technique for modeling three-dimensional magnetic implosion of a liner

The article is devoted to the methodology for modeling current-carrying plasma in a Z-pinch studied in pulsed-power experiments. We discuss simulation performed via moving Lagrangian-Euler difference grid. The difference scheme approximating the hydrodynamic equations of a high-temperature medium possesses a “complete conservation” property and includes energy balances between the plasma components taking into account electromagnetic field – matter interaction and conductive (electronic, ionic) as well as radiative heat transfer. Numerical experiments provide quantitative estimates of physical effects which lead to essential distortions of a plasma shell during its magnetically-driven implosion. Performed simulations show the effect of instabilities on the final pinch structure, mainly, the hydrodynamic Rayleigh-Taylor instability and instability of a temperature-inhomogeneous plasma