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

• 学术论文 • 上一篇    下一篇

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   

  1. 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 发布日期: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   

  1. 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

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

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