Mathematical modelling of non-stationary processes in plasma-optical systems

A hybrid mathematical model is proposed for describing the non-stationary processes in plasma-optical systems, in which the dynamic behaviour of the heavy components of the plasma medium (the ions and neutral atoms) is described by kinetic equations taking account of ionization processes, while the dynamic behaviour of the electronic component is described at the hydrodynamic level. To solve the resulting system of integro-differential equations, a conservative numerical algorithm is proposed, based on the conservative version of the “coarse particles” method.