有限差分法求解静电场问题  

Solving Electric Field Problem with Finite-difference Method

作　　者：李国生[1] 

机构地区：[1]南京航空航天大学自动化学院,江苏南京210016

出　　处：《电气电子教学学报》2005年第5期49-52,共4页Journal of Electrical and Electronic Education

摘　　要：简介了有限差分法(FDM)的起源,讨论其在静电场求解中的应用。以铝电解槽物理模型为例,采用FDM对其场域进行离散,使用M ATLAB和C求解了各节点的电位。由此,绘制了整个场域的等位线和电场强度矢量分布。同时,讨论了加速收敛因子对超松弛迭代算法迭代速度的影响,以及具有正弦边界条件下的电场分布。The origin of finite-difference method is introduced first, then its applications in electrostatic are discussed. It takes the physical model of aluminum cell whose field is discreted with FDM method for instance, the Matlab and C are used to calculate the electric potential of each node. Then, isopotential and electric field intensity lines are plotted. The influence of acceleration convergence factor to the speed of iterative method and the distribution of electric field under the sinusoidal boundaries are discussed.

关 键 词：有限差分法 高斯-赛德尔迭代法 逐次超松弛法 等位线 

分 类 号：TM151[电气工程—电工理论与新技术] O241.82[理学—计算数学]