@Article{CiCP-15-153,
author = {Chijie Zhuang and Rong Zeng},
title = {A Positivity-Preserving Scheme for the Simulation of Streamer Discharges in Non-Attaching and Attaching Gases},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {1},
pages = {153--178},
abstract = {<p style="text-align: justify;">Assumed having axial symmetry, the streamer discharge is often described
by a fluid model in cylindrical coordinate system, which consists of convection dominated (diffusion) equations with source terms, coupled with a Poisson&#39;s equation.
Without additional care for a stricter CFL condition or special treatment to the negative source term, popular methods used in streamer discharge simulations, e.g., FEM-FCT, FVM, cannot ensure the positivity of the particle densities for the cases in attaching gases. By introducing the positivity-preserving limiter proposed by Zhang and
Shu [15] and Strang operator splitting, this paper proposes a finite difference scheme
with a provable positivity-preserving property in cylindrical coordinate system, for
the numerical simulation of streamer discharges in non-attaching and attaching gases.
Numerical examples in non-attaching gas (N<sub>2</sub>) and attaching gas (SF<sub>6</sub>) are given to
illustrate the effectiveness of the scheme.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.210213.300413a},
url = {http://global-sci.org/intro/article_detail/cicp/7091.html}
}