中国电机工程学报Issue(12)：3170-3175,6.DOI:10.13334/j.0258-8013.pcsee.2015.12.030
采用简化球谐法快速计算流注放电光电离
Fast Computation of Photoionization in Streamer Discharges Based on Simplified Spherical Harmonics Approximations
摘要
Abstract
ABSTRACT:Streamer discharges are usually modeled by the fluid approach which consists of moments of the Boltzmann equation coupled with Poisson’s equation. Photoionization is added to the first order moment of the Boltzmann equation which is the continuity equations for the charged particles. As the calculation of the photoionization rate at a given point requires a quadrature over the complete volume, and it should be done at every time step, the computational cost of streamer discharges becomes very large. In order to improve the efficiency, photoionization in streamer discharges was calculated based on simplified spherical harmonics method. The radiative transfer characteristic of the photos in the isotropic scattering media was analyzed, and the radiative transfer equation which satisfies the optically thick condition was derived, then the governing equations and the boundary conditions of 1 order simplified spherical harmonics approximation (SP1) and 3 order simplified spherical harmonics approximations (SP3) were obtained. Specific validation comparisons are presented for computation of photoionization of Gaussian emission source and double-headed streamer. It is shown that the efficiency of 3 group SP1 is far higher than the integral method of Zheleznyak, and the accuracy of 3 group SP1 is higher than that of 3 group Helmtoltz models;it is sufficient to use 3 group SP1 method to calculate the photoionization of the streamer discharges at atmospheric pressure.关键词
流注放电/光电离/吸收函数/简化球谐近似/各向同性散射Key words
streamer discharge/photoionization/absorption function/simplified spherical harmonics approximation/isotropic scattering分类
信息技术与安全科学引用本文复制引用
蔡新景,孙悦,王新新,邹晓兵,鲁志伟..采用简化球谐法快速计算流注放电光电离[J].中国电机工程学报,2015,(12):3170-3175,6.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）
