@Article{CiCP-32-3,
author = {Yi, Wang and Zhang, 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 = {<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>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0033},
url = {https://global-sci.com/article/79481/a-gas-kinetic-scheme-for-collisional-vlasov-poisson-equations-in-cylindrical-coordinates}
}