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author:

Wang, Yuhui (Wang, Yuhui.) [1] | Cheng, Yu (Cheng, Yu.) [2] | Wang, Xiang-Hua (Wang, Xiang-Hua.) [3] | Yang, Shunchuan (Yang, Shunchuan.) [4] | Chen, Zhizhang (Chen, Zhizhang.) [5]

Indexed by:

EI Scopus SCIE

Abstract:

A summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method is proposed to model geometrically fine structures in this article. Compared with other works, the proposed SBP-SAT FDTD method uses the staggered Yee's grid without adding or modifying any field components through field extrapolation on the boundaries to make the discrete operators satisfy the SBP property. The accuracy of extrapolation keeps consistency with that of the second-order finite-difference scheme near the boundaries. In addition, the SATs are used to weakly enforce the tangential boundary conditions between multiple mesh blocks with different mesh sizes. With carefully designed interpolation matrices and selected free parameters of the SATs, no dissipation occurs in the whole computational domain. Therefore, its long-time stability is theoretically guaranteed. Four numerical examples are carried out to validate its effectiveness. Results show that the proposed SBP-SAT FDTD subgridding method is stable, accurate, efficient, and easy to implement based on the existing FDTD codes with only a few modifications.

Keyword:

Finite difference methods Finite-difference time-domain (FDTD) Mathematical models Microwave theory and techniques Numerical stability Power system stability projection operator stability Stability criteria subgridding summation-by-parts simultaneous approximation term (SBP-SAT) Time-domain analysis

Community:

  • [ 1 ] [Wang, Yuhui]Beihang Univ, Sch Elect & Informat Engn, Beijing 100083, Peoples R China
  • [ 2 ] [Cheng, Yu]Beihang Univ, Sch Elect & Informat Engn, Beijing 100083, Peoples R China
  • [ 3 ] [Yang, Shunchuan]Beihang Univ, Sch Elect & Informat Engn, Beijing 100083, Peoples R China
  • [ 4 ] [Wang, Yuhui]Beihang Univ, Res Inst Frontier Sci, Beijing 100083, Peoples R China
  • [ 5 ] [Yang, Shunchuan]Beihang Univ, Res Inst Frontier Sci, Beijing 100083, Peoples R China
  • [ 6 ] [Wang, Xiang-Hua]Tianjin Univ Technol & Educ, Sch Sci, Tianjin 300222, Peoples R China
  • [ 7 ] [Chen, Zhizhang]Fuzhou Univ, Coll Phys & Informat Engn, Fuzhou 350108, Fujian, Peoples R China
  • [ 8 ] [Chen, Zhizhang]Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3H 4R2, Canada

Reprint 's Address:

  • [Yang, Shunchuan]Beihang Univ, Sch Elect & Informat Engn, Beijing 100083, Peoples R China;;[Yang, Shunchuan]Beihang Univ, Res Inst Frontier Sci, Beijing 100083, Peoples R China;;

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Source :

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

ISSN: 0018-9480

Year: 2022

Issue: 2

Volume: 71

Page: 579-592

4 . 3

JCR@2022

4 . 1 0 0

JCR@2023

ESI Discipline: ENGINEERING;

ESI HC Threshold:66

JCR Journal Grade:2

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 6

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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