A Strang-splitting based unified gas-kinetic scheme for two species plasma in spherical coordinate

Abstract

Plasma disturbed by an absorbing spherical body is important in the electric probe theory, this process can be simulated by a two species plasma model, which includes ions and electrons. To simulate it efficiently in all regimes, a novel Strang-splitting based unified gas-kinetic scheme for this model in spherical coordinate is proposed. The novel Strang-splitting strategy allows a larger time step for ions’ simulation while a second-order temporal accuracy is maintained. The asymptotic-preserving property is proved. The numerical experiments verify the temporal accuracy and give a reasonable kinetic result for the charging process of absorbing spherical body in plasma in rarefied and dense regimes.