摘要
本文介绍一种用于计算三维场的环状高精度插值单元。环状单元按圆周方向作傅立叶级数展开而沿轴向按线性函数展开。由于该函数沿圆周方向可以用解析式表达。所以在边界元法中,使用环状单元较用有限元剖分单元的计算精度高,且收敛快,因此可以大量地减低未知数的数目。本文提供的方法可以计算任意取向,任意截面的多个轴对称电极系统的场。该法还可推广于模拟电荷法及有限元法中。本文中的示例表明了上述观点的正确性。
This paper describes a high accuracy annular element interpolation method. In each annular element, the function to be solved is expanded into Fourier series in the circumference of element, and interpolated by linear function in the direction of axis. The calculation accuracy of the BEM using annular elements is much higher than that of the BEM using any other element, because the potential and field intensity can be represented by analytic function in the circumference of the annular element. Moreover, Fourier series used to expand unknown function converges fast, so that the number of nodes in an annular element can be reduced evidently. The method can be used conveniently for computation of three-dimensional field caused by multiple axisymmetrical electrodes with arbitrary shape in any position. In addition, the annular elements may be extended into the FEM and the Charge Simulation Method. Examples of calculation show that the points of view of the paper is correct.
出处
《电工技术学报》
EI
CSCD
北大核心
1989年第3期8-12,54,共6页
Transactions of China Electrotechnical Society
