级数展开法求静电势分布的统一公式

计算物理 ›› 1995, Vol. 12 ›› Issue (1): 131-136.

级数展开法求静电势分布的统一公式

施将君, 王士俊, 肖学政, 刘军, 章冠人

中国工程物理研究院, 成都523信箱, 610003

收稿日期:1993-06-28 修回日期:1994-03-10 出版日期:1995-03-25 发布日期:1995-03-25

UNIVERSAL FORMULAE FOR SOLVING ELECTROSTATIC POTENTIAL BY SERIES-EXPANSION METHODE

Shi Jiangjun, Wang Shijun, Liu Jun, Xiao Xuezheng, Zhang Guanren

CAEP, P.O.Box 523, Chenghu, 610003

Received:1993-06-28 Revised:1994-03-10 Online:1995-03-25 Published:1995-03-25

摘要/Abstract

摘要： 利用泰勒级数展开的二阶近似法求解任意边界区域内的静电泊松方程,给出了二维区域内静电势和静电场的空间分布.在物理问题的对称轴上使用罗必达法则求解.各类几何形状的边界处理中,使用了一套统一的求电势公式,从而简化了问题的复杂性,使程序编制精练化.

关键词: 泰勒级数展开法, 电场系数, 泊松系数, 统一公式

Abstract: The Taylor expansion approximate method is deScribed with the precision of the second order, which is used to solve the electrostatic Poisson equation in the region with arbitrary shape. The Roberta rule is applied to obtain the potential distribution on the axisymmetric axle of the physical problem. A set of universal formulae is derived to solve the problem with various,boundary, so that the complexity of the problem is avoided and the simulating code can be simplied much more.

Key words: Taylor series expansion method, electric field coefficient, Poisson coefficient, universal formulae

中图分类号:

O441.1
TN241

施将君, 王士俊, 肖学政, 刘军, 章冠人. 级数展开法求静电势分布的统一公式[J]. 计算物理, 1995, 12(1): 131-136.

Shi Jiangjun, Wang Shijun, Liu Jun, Xiao Xuezheng, Zhang Guanren. UNIVERSAL FORMULAE FOR SOLVING ELECTROSTATIC POTENTIAL BY SERIES-EXPANSION METHODE[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 12(1): 131-136.

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