@Article{CiCP-32-779, author = {Wang , YiZhang , Jiexing and Ni , Guoxi}, title = {A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates}, journal = {Communications in Computational Physics}, year = {2022}, volume = {32}, number = {3}, pages = {779--809}, abstract = {
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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0033}, url = {http://global-sci.org/intro/article_detail/cicp/21045.html} }