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基于Helmholtz模型的流注放电过程光电离快速计算

DOI: 10.13334/j.0258-8013.pcsee.2015.01.029, PP. 240-246

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Abstract:

流注放电过程通常用流体模型来描述,它由粒子连续性方程耦合泊松方程组成,光电离作为源项加在电子和正离子连续性方程上。目前光电离一般用精度较低的空间均匀背景预电离代替或者用计算效率低的Zheleznyak积分模型进行求解。针对上述两种方法的不足,有学者用多组Helmholtz方程代替积分方程计算光电离,但并没有揭示此方法的物理意义和得到有效的边界条件。结合Penney和Hummert用离子室测量光电离的实验,若把吸收函数表示成指数和形式,即可得到Helmholtz模型的控制方程;根据辐射物理特性,给出了Helmholtz方程Sommerfeld远场辐射边界条件。将该方法应用于高斯辐射源和大气压下双向流注传播过程计算,并与采用其它边界条件的Helmholtz方法和Zheleznyak积分方法进行对比实验。仿真结果表明:采用Sommerfeld远场辐射边界的Helmholtz模型和采用Zheleznyak积分方法计算结果接近,但计算效率更高。

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