Self Surface Charge Method for Static Field Simulation Compatible With Non-Conformal Meshes

IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Zhong Yuan Pang;Bo O. Zhu
{"title":"Self Surface Charge Method for Static Field Simulation Compatible With Non-Conformal Meshes","authors":"Zhong Yuan Pang;Bo O. Zhu","doi":"10.1109/JMMCT.2025.3538602","DOIUrl":null,"url":null,"abstract":"Numerical analysis of static field problems is often encountered in science and engineering. The boundary element methods based on integral equations are popular due to small number of unknowns and high computational efficiency. Conventional boundary element methods require conformal meshes on the interface between two contact dielectric objects, which are more complicated to generate than non-conformal meshes. This paper presents a boundary element integral equation method compatible with non-conformal meshes on the interface between contacting objects. In this method, surface polarization charges on a homogeneous dielectric object are the unknowns, and the relationship between the electric field and surface polarization charges are employed to establish the integral equations. The discretization of such an integral equation and the treatment for singularity integration are discussed. Since the proposed method is compatible with non-conformal meshes, it reduces the meshing complexity for dielectric objects in contact, while the number of unknowns of the proposed method is intermediate compared with conventional methods. The proposed method is general for electrostatic field, magnetostatic field and stationary current field simulations. To demonstrate the feasibility, accuracy and efficiency of this approach, numerical tests and comparison with conventional methods are presented in this paper.","PeriodicalId":52176,"journal":{"name":"IEEE Journal on Multiscale and Multiphysics Computational Techniques","volume":"10 ","pages":"160-168"},"PeriodicalIF":1.8000,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Journal on Multiscale and Multiphysics Computational Techniques","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10870292/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0

Abstract

Numerical analysis of static field problems is often encountered in science and engineering. The boundary element methods based on integral equations are popular due to small number of unknowns and high computational efficiency. Conventional boundary element methods require conformal meshes on the interface between two contact dielectric objects, which are more complicated to generate than non-conformal meshes. This paper presents a boundary element integral equation method compatible with non-conformal meshes on the interface between contacting objects. In this method, surface polarization charges on a homogeneous dielectric object are the unknowns, and the relationship between the electric field and surface polarization charges are employed to establish the integral equations. The discretization of such an integral equation and the treatment for singularity integration are discussed. Since the proposed method is compatible with non-conformal meshes, it reduces the meshing complexity for dielectric objects in contact, while the number of unknowns of the proposed method is intermediate compared with conventional methods. The proposed method is general for electrostatic field, magnetostatic field and stationary current field simulations. To demonstrate the feasibility, accuracy and efficiency of this approach, numerical tests and comparison with conventional methods are presented in this paper.
非保形网格下静场模拟的自表面电荷法
静场的数值分析问题在科学和工程中经常遇到。基于积分方程的边界元法因其未知量少、计算效率高而广受欢迎。传统的边界元方法需要在两个接触介质物体之间的界面上生成保形网格,这比非保形网格生成更复杂。提出了一种适用于接触面非保形网格的边界元积分方程法。该方法以均匀介质表面极化电荷为未知量,利用电场与表面极化电荷之间的关系建立积分方程。讨论了该类积分方程的离散化和奇异积分的处理。由于该方法兼容非保形网格,降低了接触介质物体的网格划分复杂度,同时与传统方法相比,该方法的未知量处于中等水平。该方法适用于静电场、静磁场和静电流场的模拟。为了验证该方法的可行性、准确性和有效性,本文进行了数值试验,并与传统方法进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
4.30
自引率
0.00%
发文量
27
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信