TY - JOUR
T1 - Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications
AU - Chijie Zhuang, Mengmin Huang & Rong Zeng
JO - Communications in Computational Physics
VL - 4
SP - 1259
EP - 1278
PY - 2018
DA - 2018/06
SN - 24
DO - http://doi.org/10.4208/cicp.2018.hh80.13
UR - https://global-sci.org/intro/article_detail/cicp/12327.html
KW - Streamer discharge, mixed finite element method, least-squares finite element method, discontinuous Galerkin method, fluid model.
AB - <p style="text-align: justify;">In this work, we propose and compare four different strategies for simulating
the fluid model of quasi-three-dimensional streamer propagation, consisting of
Poisson&#39;s equation for the particle velocity and two continuity equations for particle
transport in the cylindrical coordinate system with angular symmetry. Each strategy
involves one method for solving Poisson&#39;s equation, a discontinuous Galerkin
method for solving the continuity equations, and a total variation-diminishing RungeKutta
method in temporal discretization. The numerical methods for Poisson&#39;s equation
include discontinuous Galerkin methods, the mixed finite element method, and
the least-squares finite element method. The numerical method for continuity equations
is the Oden-Babuška-Baumann discontinuous Galerkin method. A slope limiter
for the DG methods in the cylindrical coordinate system is proposed to conserve the
physical property. Tests and comparisons show that all four strategies are compatible
in the sense that solutions to particle densities converge. Finally, different types of
streamer propagation phenomena were simulated using the proposed method, including
double-headed streamer in nitrogen and SF<sub>6</sub> between parallel plates, a streamer
discharge in a point-to-plane gap.</p>