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Toward the Development of a 3-D SBP-SAT FDTD Method: Theory and Validation

Authors :
Cheng, Yu
Liu, Hanhong
Wang, Xinsong
Chen, Guangzhi
Wang, Xiang-Hua
Zhang, Xingqi
Yang, Shunchuan
Chen, Zhizhang
Source :
IEEE Transactions on Antennas and Propagation; December 2023, Vol. 71 Issue: 12 p9178-9193, 16p
Publication Year :
2023

Abstract

To enhance the scalability and performance of the traditional finite-difference time-domain (FDTD) methods, a 3-D summation-by-part simultaneous approximation term (SBP-SAT) FDTD method is developed to solve complex electromagnetic problems. It is theoretically stable and can be further used for multiple mesh blocks with different mesh sizes. This article mainly focuses on the fundamental theoretical aspects upon its 3-D implementation, the SAT for various boundary conditions, and the numerical dispersion properties and the comparison with the FDTD method. The proposed SBP-SAT FDTD method inherits all the merits of the FDTD method, which is matrix-free, easy to implement, and has the same level of accuracy with a negligible overhead of runtime and memory usage. Four numerical examples are carried out to validate the effectiveness of the proposed method.

Details

Language :
English
ISSN :
0018926X and 15582221
Volume :
71
Issue :
12
Database :
Supplemental Index
Journal :
IEEE Transactions on Antennas and Propagation
Publication Type :
Periodical
Accession number :
ejs64995287
Full Text :
https://doi.org/10.1109/TAP.2022.3230553