[1]孔令荣,郭小娟,王 昊.导体电磁散射特性无网格方法研究[J].南京理工大学学报(自然科学版),2014,38(05):669-674.
 Kong Lingrong,Guo Xiaojuan,Wang Hao.Meshless method of electromagnetic scattering characteristics of conductor[J].Journal of Nanjing University of Science and Technology,2014,38(05):669-674.
点击复制

导体电磁散射特性无网格方法研究
分享到:

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
38卷
期数:
2014年05期
页码:
669-674
栏目:
出版日期:
2014-10-29

文章信息/Info

Title:
Meshless method of electromagnetic scattering characteristics of conductor
作者:
孔令荣1郭小娟2王 昊1
1.南京理工大学 泰州科技学院电子电气工程学院,江苏 泰州 225300; 2.南京理工大学 电子工程与光电技术学院,江苏 南京 210094
Author(s):
Kong Lingrong1Guo Xiaojuan2Wang Hao1
1.School of Electronic and Electric Engineering,Taizhou Institute of Science and Technology, NUST,Taizhou 225300,China; 2.School of Electronic and Optical Engineering,NUST,Nanjing 210094,China
关键词:
无网格法 离散过程 导体表面 散射 奇异性 相关性
Keywords:
meshless method discrete process conductor surface scattering singularity correlation
分类号:
TM15; O441
摘要:
传统数值方法的展开依赖于基函数网格生成,当离散网格不满足其构成条件时,算法的计算精度和效率会降低。针对这一问题,该文提出了不受离散网格质量限制的无网格方法。该方法采用无规律、自由生成的任意网格,基于点离散基础对目标的电磁特性进行数值分析。给出了无网格法在求解导体表面电磁散射时的矩阵求解过程,包括方程离散过程、矩阵元素计算过程及求解表面电场积分方程时对奇异积分的处理过程。几种典型算例的分析结果表明,无网格方法结合该文预条件提高了近相互作用的准确性。
Abstract:
In view of that the grid generation of traditional numerical method depends on the basis functions,its calculation accuracy and efficiency of algorithm are affected when the mesh does not meet necessary conditions,the meshless method is proposed based on the discrete points without discrete grid quality constraints,and the free arbitrary mesh with no laws is used.The solving process matrix of the meshless method for the electromagnetic conductor surface scattering is given to treat with the process of singular integral calculation process and calculate the surface electric field integral equation,including the equations of the discrete process and the matrix element.The numberical analysis results of several typical examples show that the meshless method based on the pre-conditioner can improve the accuracy of the close interaction.

参考文献/References:

[1] Atluri S N,Zhu T.A new meshless local Petrov-Galerkin approach in computational mechanics[J].Computational Mechanics,1998,22(6):117-127.
[2]聂在平,方大纲.目标与环境电磁散射特性建模-理论、方法与实现[M].北京:国防工业出版社,2009.
[3]Herault C,Marechal Y.Boundary and interface conditions in meshless methods[J].IEEE Transactions on Magnetics,1999,35(3):1450-1453.
[4]Manzin A,Bottauscio O.Element-free galerkin method for the analysis of electromagnetic-wave scattering[J].IEEE Trans Magn,2008,44(6):1366-1369.
[5]Canino L F,Ottusch J J,Stalzer M A,et al.Numerical solution o f the Helmholtz equation in 2D and 3D using a high-order Nyström discretization[J].Journal of Computational Physics,1998,46(2):627-663.
[6]Mei Songtong,Weng Chochew.A higher_order nystrom scheme for electromagnetic scattering by arbitrarily shaped srufaces[J].IEEE Antennas and Wireless Propagation Letters,2005,53(4):277-280.
[7]Lee J F,Sun D K.P-type multiplicative Schwarz(pMUS)method with vector finite elements for modeling three-dimensional waveguide discontinuities[J].IEEE Transactions on Microwave Theory and Technology,2004,52(3):864-870.
[8]Lee J F,Lee R,Teixeira F.Hierarchical vector finite elements with p-type non-overlapping Schwarz method for modeling waveguide discontinuities[J].CEMS-Computer Modeling in Engineering & Sciences,2004,5(5):423-434.
[9]Lu Caicheng.Multilevel fast multipole algorithm for electromagnetic scattering from conducting objects with material coating[J].IEEE Trans Antennas Propagation,2001,49(2):770-773.
[10]盛新庆.计算电磁学要论[M].北京:科学出版社,2004:16-75.
[11]Viana S A,Mesquita R C.Moving least square reproducing kernel method for electromagnetic field computation[J].IEEE Trans Magn,1999,35(3):1372-1375.
[12]杨儒贵.高等电磁理论[M].北京:高等教育出版社,2008.
[13]Oñate E,Idelsohn S,Zienkiewicz O C,et al.A stabilized finite point method for analysis of fluid mechanics problems[J].Computer Methods in Applied Mechanics and Engineering,1996,139(4):3-47.
[14]Belytschko T,Krongauz Y,Organ D,et al.Meshless methods:An overview and recent development[J].Comput Mech Engrg,1996,139(3):47.
[15]Engheta N,Murphy W D,Rokhlin V,et al.The fast multipole method(FMM)for electromagnetic scattering problems[J].IEEE Trans Antennas Propagat,1992,40(6):634-641.

备注/Memo

备注/Memo:
收稿日期:2014-06-03 修回日期:2014-08-12
作者简介:孔令荣(1983-),男,硕士,讲师,主要研究方向:电磁场数值计算与微波天线相关技术,E-mail:642711803@qq.com。
引文格式:孔令荣,郭小娟,王昊.导体电磁散射特性无网格方法研究[J].南京理工大学学报,2014,38(5):669-674.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2014-10-31