Application of the complete flux scheme to radio frequency discharge models

Abstract

Abstract This paper is concerned with the application of transient complete flux scheme to a radio frequency discharge model in a one-dimensional geometry. The transient complete flux scheme and exponential difference scheme are used to discretize plasma fluxes in space. Temporal discretization is performed by using implicit Euler method and the 2-step backward differentiation formula of first and second orders. Numerical experiments are carried out to evaluate the order and level of accuracy. The results obtained by the complete flux scheme prove to have uniformly second-order accuracy for the spatial error and coincide with solutions calculated from the fourth-order deferred correction technique.