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.
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.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2017年第12期2944-2948,共5页
Acta Electronica Sinica
基金
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)