摘要
对于二维静电场问题,应用传统有限元方法可以计算节点电位和单元电位移分布。基于电位函数和电通量函数的共轭调和性质,本文提出一种由单元电位移分布数值求解节点电通量分布的有限元方法,进而绘制出等电通量线——电力线。这个方法不仅适用于平行平面场,也适用于轴对称场。实例计算表明:这个方法是二维静电场有限元分析软件包中一个有效的后处理方法。
A finite element algorithm for plotting electric lines of force in electrostatic ield is presented. Based on the conjugate-harmonic property of electric potential and flux, by making use of the known electric displacement distribution which is determined by conventional finite element method, the nodal electric flux distribution is numerically calculated through integration of the known electric displacement distribution. Thus, the electric lines of force (actually the lines of electric displacement) are readily plotted. The algorithm is applicable not only to the parallel electric fields but also to the axisymmetric electric fields. Some examples show that the algorithm is an effective post-processing algorithm for inite element software package of two-dimensional electrostatic field.
基金
本文所属项目获霍英东教育基金会资助
