运动介质中电磁场计算的一种迎风有限元方法

计算物理 ›› 1994, Vol. 11 ›› Issue (1): 59-67.

运动介质中电磁场计算的一种迎风有限元方法

沈敏, 施展伟

上海工业大学, 上海市应用数学和力学研究所, 200072

收稿日期:1992-06-09 修回日期:1993-06-19 出版日期:1994-03-25 发布日期:1994-03-25
基金资助:
上海市科学基金资助项目

AN UPWIND FEM SCHEME FOR ELECTROMAGNETIC FIELD PROBLEM IN MOVING MEDIA

Shen Ming, Shi Zhanwei

Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics

Received:1992-06-09 Revised:1993-06-19 Online:1994-03-25 Published:1994-03-25

摘要/Abstract

摘要： 本文提出了运动介质中正弦稳态电磁场问题的一种迎风有限元解法。用伽僚金法求解这类问题,当离散网格的Peclet数大于1时,计算结果会出现伪振荡。为了抑制这种振荡,引入了采用在迎风面与背风面具有不同迎风参数的权函数的迎风有限元法。该方法对一维问题,在均匀网格下能在节点上给出问题的精确解,在一维结果的基础上,提出了相应的二维解法,并用一个二维模型进行了验证。

关键词: 稳态磁场, 运动介质, 迎风有限元

Abstract: An upwind scheme for periodic electromagnetic field problems in moving media is developed in the paper. When the Peclet number of discrete grid is larger than one, the procedure using Galerkin method will provide spurious oscillations in the computed results. To suppress these oscillations, an upwingd finite element method with two different upwind parameters in upwind and downwind sides is introduced. To one dimensional problems, this method can provide nodally exact solution for even spacing grids. Based on the one dimensional result, a cooresponding two dimensional scheme is suggested and tested by a 2-D model.

Key words: finite element, periodic magnetic field, moving media upwind finite element

沈敏, 施展伟. 运动介质中电磁场计算的一种迎风有限元方法[J]. 计算物理, 1994, 11(1): 59-67.

Shen Ming, Shi Zhanwei. AN UPWIND FEM SCHEME FOR ELECTROMAGNETIC FIELD PROBLEM IN MOVING MEDIA[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 11(1): 59-67.

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