解析法求解涡流场

Solving Eddy Field by a General Analytical Method

本文给出了一种计算亥姆霍兹方程的解析法。给出了单连通区域和多连通区域中的一般级数表达式及确定级数项系数的方法。计算多连通区域时，分析了约束条件表达式。应用本文提出的方法分别计算了单连通区域和多连通区域薄型导体中的涡流场，给出了计算结果及其涡流线分布图。

An analytical method, which can be applied to solve the Helmhotlz equation is introduced. A series expansion and a method to determine the coefficients of the series expansion are given. The analytical method has been used to solve two 2D eddy field problems, one is in a single region and the other in a multiple connected region. In the latter a constrained condition is applied. Calculating results and a distribution of eddy current lines have been given.