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基于分形理论的平板电极气体放电模拟 被引量:2

Simulation of flat-plate gas discharge based on fractal theory
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摘要 为了达到通过分形理论对气体放电击穿过程进行计算机数值模拟,建立平行板电极气体放电模型的目的,采用有限元方法,通过FORTRAN语言编程,实现了平行板电极放电区域的剖分,并计算出放电区域的电位和电场强度.应用分形理论对气体放电击穿路径进行了有效选择,通过计算机模拟得到平板电极气体放电路径.基于二维理论模型数值模拟了气体放电在整个放电空间的时空演化特性,得到了与实际放电路径相近的气体放电通道.利用所建立的理论模型对气体放电进行了理论分析与数值模拟,数值结果指出了微放电通道有遍历整个放电空间的趋势,讨论了电场因素、随机因素对气体放电路径的重要影响. A flat-plate gas discharge model based on fractal theory was established by simulating the whole process of gas discharge. The electric potential and electric field strength of the fiat-plate gas discharge were obtained using finite element method (FEM). The path of gas discharge was also efficiently chosen by fractal theory, and the fiat-plate gas discharge graphs were presented by computer simulation. The whole spacial-temporal behavior of gas discharge based on 2-dimension theory model is close to the actual gas discharge path. Moreover, the theoretical analysis and numerical simulation were also performed, and the influence of electric and random factors on the gas discharge channels was also discussed. The numerical simulation results indicate the tendency and development of micro-discharge-channels in the whole discharge space.
出处 《沈阳工业大学学报》 EI CAS 2008年第4期366-369,共4页 Journal of Shenyang University of Technology
基金 国家自然科学基金资助项目(5067703950537010)
关键词 放电 分形 随机模型 有限元分析 电场 discharge fractal random model FEM electric field
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