TY - JOUR
T1 - A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates
AU - Wang , Yi
AU - Zhang , Jiexing
AU - Ni , Guoxi
JO - Communications in Computational Physics
VL - 3
SP - 779
EP - 809
PY - 2022
DA - 2022/09
SN - 32
DO - http://doi.org/10.4208/cicp.OA-2022-0033
UR - https://global-sci.org/intro/article_detail/cicp/21045.html
KW - Vlasov-BGK-Poisson equations, cylindrical coordinates, gas-kinetic scheme, asymptotic preserving property, Coulomb collisions.
AB - <p style="text-align: justify;">Many configurations in plasma physics are axisymmetric, it will be more
convenient to depict them in cylindrical coordinates compared with Cartesian coordinates. In this paper, a gas-kinetic scheme for collisional Vlasov-Poisson equations in
cylindrical coordinates is proposed, our algorithm is based on Strang splitting. The
equation is divided into two parts, one is the kinetic transport-collision part solved by
multiscale gas-kinetic scheme, and the other is the acceleration part solved by a Runge-Kutta solver. The asymptotic preserving property of whole algorithm is proved and
it’s applied on the study of charge separation problem in plasma edge and 1D Z-pinch
configuration. Numerical results show it can capture the process from non-equilibrium
to equilibrium state by Coulomb collisions, and numerical accuracy is obtained.</p>