A method for numerical solution of self–consistent problems in wave discharge physics is developed in the framework of models taking into account kinetic electrodynamic and gasdynamic effects. The solution algorithm is based on the well–known procedure of splitting the system of equations by the physical processes: kinetic, gasdynamic, electrodynamic. For solving the stiff systems of equations describing kinetic processes the Rosenbrok type method is used. To solve the multicomponent gasdynamic system of equations it is adapted for the implementation of TVD scheme. The electrical field equation inside the restricted domain with artificial boundary is solved by the method developed in [16]. The 2D unsteady problem on interaction of two coherent TE–wave rays with nitrogen plasma under high pressure (p~ 0,1-1,0 atm.) is solved numerically. The calculations were carried out based on the kinetic scheme including associative ionization reactions for electron–excited levels of N_2 as well as rapid ET–relaxation processes. Space distributions of kinetic, electrodynamic and gasdynamic parameters of non-equilibrium discharge were obtained numerically.

Mathematical problems and theory of numerical methods

Bezmenov I. V,,  KIAM RAS

Silakov V. P.,  KIAM RAS