TY - JOUR
T1 - A Positivity-Preserving Scheme for the Simulation of Streamer Discharges in Non-Attaching and Attaching Gases
JO - Communications in Computational Physics
VL - 1
SP - 153
EP - 178
PY - 2014
DA - 2014/01
SN - 15
DO - http://doi.org/10.4208/cicp.210213.300413a
UR - https://global-sci.org/intro/article_detail/cicp/7091.html
KW - 
AB - <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>