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A Positivity-Preserving Scheme for the Simulation of Streamer Discharges in Non-Attaching and Attaching Gases

Published online by Cambridge University Press:  03 June 2015

Chijie Zhuang  and
Rong Zeng
Chijie Zhuang
Affiliation:
State Key Lab of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China
Rong Zeng*
Affiliation:
State Key Lab of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China
*
Email:chijie@tsinghua.edu.cn
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Abstract

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’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 (N2) and attaching gas (SF6) are given to illustrate the effectiveness of the scheme.

Keywords

65Z0565M0668U20WENO finite differencepositivity-preservingstreamer dischargenumerical simulation
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 1 , January 2014 , pp. 153 - 178
Copyright
Copyright © Global Science Press Limited 2014

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