无网格法剖析及基扩充EFG法在电磁计算中的应用

计算物理 ›› 2004, Vol. 21 ›› Issue (1): 68-76.

无网格法剖析及基扩充EFG法在电磁计算中的应用

尹华杰¹, 吴建华²

1. 华南理工大学电力学院, 广东广州 510640;
2. 浙江大学电气工程系, 浙江杭州 310027

收稿日期:2002-11-13 修回日期:2003-05-09 出版日期:2004-01-25 发布日期:2004-01-25
作者简介:尹华杰(1966-),male,Dongkou,Hunan,Ph D,associate proffessor,specialized in eletromagnetic field computation and the design and control of electrical machines.
基金资助:
Supported by the National Natural Science Foundation of China(Grant no 50107003)

Deep Insight into Meshless Method and Application of Base-enriched EFG in EM Field Computation

YIN Hua-jie¹, WU Jian-hua²

1. College of Electrical Power, South China University of Technology, Guangzhou 510640, China;
2. Department of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Received:2002-11-13 Revised:2003-05-09 Online:2004-01-25 Published:2004-01-25
Supported by:
Supported by the National Natural Science Foundation of China(Grant no 50107003)

摘要/Abstract

摘要： 主要论述基扩充的无网格法(MLM)用于2D电磁问题计算时的具体算法及编程问题.以独特的分步骤操作方法,介绍了无网格方法;从数值拟合的角度,对无网格伽辽金法(EFG)的核心技术——移动最小二乘法进行了深入剖析;严格按照加权余量法原理,利用偏微分方程的余量加权在节点支持域上的积分,导出了基扩充的EFG离散格式;应用FEM和基扩充的EFG两种方法对-些实例进行了计算验证.

关键词: 无网格法, 电磁计算, FEM, EFG, 基扩充

Abstract: Algorithm and programming by using base-enriched EFG method to solve 2D electromagnetic problems are addressed.Differential from other literatures, the EFG discrete form is obtained strictly from the integration of the weighted residual of the partial differential equation over the support domain of each node in a very straightforward way here. A deep insight into the kernel technique of EFG,the moving least square(MLS) method, is also presented from a data fit viewpoint. Computation is made for examples by using both the EFG and the FEM methods for comparison and demonstration purposes.

Key words: meshless method, electromagnetic field, FEM, base-enrichment, EFG

中图分类号:

尹华杰, 吴建华. 无网格法剖析及基扩充EFG法在电磁计算中的应用[J]. 计算物理, 2004, 21(1): 68-76.

YIN Hua-jie, WU Jian-hua. Deep Insight into Meshless Method and Application of Base-enriched EFG in EM Field Computation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 21(1): 68-76.

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