Asymptotic preserving automatic domain decomposition for the Vlasov-Poisson-BGK system with applications to plasmas

In this work we present an efficient strategy to deal with plasma physics simulations in which localized departures from thermodynamical equilibrium are present. The method relies on the introduction of buffer zones which realize a smooth transition between the kinetic and the fluid regions. In this paper we extend the idea, recently developed in [13, 14], of dynamic coupling and of buffer zones to the case of plasmas. The basic idea consists in using an hybrid scheme in which both kinetic and fluid descriptions are considered and coupled together. Moreover, we construct our scheme in order to solve the kinetic model by asymptotic preserving and accurate methods which permit to get high efficiency while guaranteeing precision of the proposed scheme for all regimes. The numerical scheme is validated and its performances are analyzed by numerical simulations.