基于FDTD算法的新型亚网格技术

doi:10.3969/j.issn.0372-2112.2017.12.016

电子学报 ›› 2017, Vol. 45 ›› Issue (12): 2944-2948.DOI: 10.3969/j.issn.0372-2112.2017.12.016

基于FDTD算法的新型亚网格技术

任昊, 王胜, 谢国大, 王丽华, 吴先良, 黄志祥

安徽大学计算智能与信号处理教育部重点实验室, 安徽合肥 230039

收稿日期:2017-03-31 修回日期:2017-06-26 出版日期:2017-12-25
- 通讯作者:
- 黄志祥
- 作者简介:
- 任昊,男,1991年出生于安徽亳州.安徽大学电子信息工程学院硕士研究生,研究方向计算电磁学,太阳能电池.E-mail:tenyren@gmail.com
- 基金资助:
- 国家自然科学基金 (No.61471001，No.51277001，No.61601166，No.61701001，No.61701003）; 安徽省自然科学基金 (No.KJ2015A202）; 安徽高校自然科学研究重大项目 (No.KJ2017ZD51，No.KJ2017ZD02）; 国家自然科学优秀青年基金 (No.61722101）

A New Subgridding Technology Based on FDTD Algorithm

REN Hao, WANG Sheng, XIE Guo-dang, WANG Li-hua, WU Xian-liang, HUANG Zhi-xiang

Key Laboratory of intelligent Computing & Signal Processing, Anhui University, Hefei, Anhui 230039, China

Received:2017-03-31 Revised:2017-06-26 Online:2017-12-25 Published:2017-12-25
- Supported by:
- National Natural Science Foundation of China (No.61471001, No.51277001, No.61601166, No.61701001, No.61701003); Natural Science Foundation of Anhui Province (No.KJ2015A202); Key Program of Natural Science Research Program of Colleges and Universities in Anhui Province (No.KJ2017ZD51, No.KJ2017ZD02); National Natural Science Foundation of China for Excellent Youth Schoolars (No.61722101)

摘要/Abstract

摘要： 提出了一种基于空间滤波（Spatial Filtering-Finite-Difference Time-Domain，SF-FDTD）算法的亚网格技术，使得FDTD算法的Courant-Friedrich-Levy（CFL）稳定性条件可通过空间频域滤波操作得以提高，从而获得高稳定度FDTD算法.进一步将SF-FDTD算法应用到亚网格技术中，可使亚网格区域时间步长的选取取与粗网格一致，从而极大地提高了计算效率.数值计算结果表明，在求解带有精细结构的电磁问题上，所提算法具有较高的准确性和有效性.

关键词: 空间滤波, 时域有限差分算法, 亚网格技术, 稳定性条件

Abstract: A subgridding technique based on spatial filtering-Finite Difference Time Domain (SF-FDTD) method is proposed in this paper,the Courant-Friedrich-Levy (CFL) stability condition of the conventional FDTD algorithm can be improved by filtering operation in spatial frequency domain,thus obtaining a high stability FDTD method.The SF-FDTD algorithm is further applied to the subgridding technique,so that the time step of the subgridding region is the same as that of the coarse grid which greatly improved the computational efficiency.The numerical results show that the algorithm has high accuracy and validity in solving the electromagnetic problem with fine structure.

Key words: spatial filtering, FDTD method, subgridding technique, stability condition

中图分类号:

TN801

任昊, 王胜, 谢国大, 等. 基于FDTD算法的新型亚网格技术[J]. 电子学报, 2017, 45(12): 2944-2948.

REN Hao, WANG Sheng, XIE Guo-dang, et al. A New Subgridding Technology Based on FDTD Algorithm[J]. Acta Electronica Sinica, 2017, 45(12): 2944-2948.

参考文献

[1] K S Yee.Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media[J].IEEE Transactions on Antennas and propagation,1966,14(3):302-307.
[2] 葛德彪,闫玉波.电磁波时域有限差分法[M].2版.西安:西安电子科技大学出版社,2005,.
[3] A Taflove,S C Hagness.Computational Electrodynamics the Finite-Difference Time-Domain Method[M].3rd Ed.USA:Artech House,2005.
[4] 赵鑫泰,马西奎.一种求解Maxwell方程组的无条件稳定时域精细方法[J].电子学报,2006,34(9):1600-1604. ZHAO Xin-Tai,XI-Kui Ma.An unconditionally stable precise integration time domain method for solving Maxwell's equations[J].Acta Electronica Sinica,2006,34(9):1600-1604.(in Chinese)
[5] 黄志祥,吴先良.辛算法的稳定性及数值色散分析[J].电子学报,2006,34(3):535-538. HUANG Zhi-Xiang,WU Xian-liang.The stability and numerical dispersion of symplectic scheme[J].Acta Electronica Sinica,2006,34(3):535-538.(in Chinese)
[6] L Kulas, M Mrozowski.Reciprocity principlefor stable subgridding in the finite difference time domain method[A].The International Conference on "Computer as a Tool"[C].Warsaw,Poland:IEEE,2007.106-111.
[7] I S Kim,W J R.Hoefer.A local refinement algorithm for the time-domain finite-difference method using Maxwell's curl equations[J].IEEE Transactions on Microwave Theory & Techniques,1990,38(6):812-815.
[8] K Xiao,D J Pommerenke,J L Drewniak.A three-dimensional FDTD subgridding method with separated spatial and temporal subgriding interfaces and related stability analysis[J].IEEE Transactions on Antennas and propagation,2007,55(7):1981-1990.
[9] B Z Wang,Y J Wang,W H Yu,R Mittra.A hybrid 2-D ADI-FDTD scheme for modeling on-chip interconnects[J].IEEE Transactions on Advanced Packaging,2001,24(4):528-533.
[10] 冯德山,陈佳维,吴奇.混合ADI-FDTD亚网格技术在探底雷达频散煤质中的高效正演[J].地球物理学报,2014,57(4):1322-1334. FENG De-Shan,CHEN Jia-Wei,WU Qi.A hybrid ADI-FDTD subgridding scheme for efficient GPR simulation of dispersion media[J].Chinese Journal Of Geophysics-Chinese Edition,2014,57(4):1322-1334.(in Chinese)
[11] N Diamanti,A Giannopulous.An investigation into the implementation of ADI-FDTD subgrids in FDTD GPR modeling[A].The International Conference on "4th International Workshop on,Advanced Ground Penetrating Radar"[C].IREA,Naples,ITALY:IEEE 2007.122-126.
[12] C D Sarris.Extending the stability limit of the FDTD method with spatial filtering[J].IEEE Microwave and Wireless Components Letters,2011,21(4):176-178.

基于FDTD算法的新型亚网格技术

A New Subgridding Technology Based on FDTD Algorithm

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