中国电机工程学报Issue(1)：240-246,7.DOI:10.13334/j.0258-8013.pcsee.2015.01.029
基于Helmholtz模型的流注放电过程光电离快速计算
Fast Computation of Photoionization in Streamer Discharges Based on Helmholtz Model
摘要
Abstract
Streamer discharges are usually modeled by the fluid approach which consistes of continuity equations for charged particle densities coupled with Poisson’s equation. Photoionization is taken into account through a source term which is added to the continuity equations for electron and positive ion densities. But photoionization was substituted by a spatially uniform background pre-ionization level which had low precision or derived by the integral model proposed by Zheleznyak et al which was very time consuming. In order to overcome the above deficiencies, multigroup Helmholtz method had been proposed to derive the photoionization instead of evaluating the integral, however, the intrinsic significance of this method wasn’t revealed and an efficient boundary condition wasn’t derived. Here it is investigated that if the absorption function is expressed as the exponential sum according to the photoionization measurement experiment of Penny and Hummert, the governing equation of the Helmholtz model can be obtained; and Sommerfeld far-field radiative boundary condition is proposed based on the properties of radiation. Then the method has been verified by the Gaussian radiative source and atmospheric double-headed streamer discharge simulation. The results show that the Helmholtz model with Sommerfeld boundary condition has the same precision as the Zheleznyak integral method, nevertheless it is more efficient.关键词
流注放电/对流扩散方程/光电离/吸收系数/Helmholtz模型/熄灭压强/远场辐射边界Key words
streamer discharge/convective-diffusion equation/photoionization/absorption coefficient/Helmholtz model/quenching pressure/far-field radiative boundary分类
信息技术与安全科学引用本文复制引用
蔡新景,王新新,邹晓兵,孙悦,鲁志伟..基于Helmholtz模型的流注放电过程光电离快速计算[J].中国电机工程学报,2015,(1):240-246,7.基金项目
国家自然科学基金项目(51207019)。Project Supported by National Natural Science Foundation of China (51207019) （51207019）
