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[期刊论文]

An SBP-SAT FDTD Subgridding Method Using Staggered Yee's Grids Without Modifying Field Components for TM Analysis

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author:

Wang, Y. (Wang, Y..) [1] | Cheng, Y. (Cheng, Y..) [2] | Wang, X.-H. (Wang, X.-H..) [3] | Unfold

Indexed by:

Scopus

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. © 1963-2012 IEEE.

Keyword:

Finite-difference time-domain (FDTD) projection operator stability subgridding summation-by-parts simultaneous approximation term (SBP-SAT)

Community:

  • [ 1 ] [Wang, Y.]School of Electronic and Information Engineering, Beihang University, Beijing, 100083, China
  • [ 2 ] [Wang, Y.]Research Institute for Frontier Science, Beihang University, Beijing, 100083, China
  • [ 3 ] [Cheng, Y.]School of Electronic and Information Engineering, Beihang University, Beijing, 100083, China
  • [ 4 ] [Wang, X.-H.]School of Science, Tianjin University of Technology and Education, Tianjin, 300222, China
  • [ 5 ] [Yang, S.]School of Electronic and Information Engineering, Beihang University, Beijing, 100083, China
  • [ 6 ] [Yang, S.]Research Institute for Frontier Science, Beihang University, Beijing, 100083, China
  • [ 7 ] [Chen, Z.]College of Physics and Information Engineering, Fuzhou University, Fujian, Fuzhou, 350108, China
  • [ 8 ] [Chen, Z.]Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS B3H 4R2, Canada

Reprint 's Address:

  • [Yang, S.]School of Electronic and Information Engineering, Beihang University, China

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Source :

IEEE Transactions on Microwave Theory and Techniques

ISSN: 0018-9480

Year: 2023

Issue: 2

Volume: 71

Page: 579-592

4 . 1

JCR@2023

4 . 1 0 0

JCR@2023

ESI HC Threshold:35

JCR Journal Grade:2

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 9

30 Days PV: 2

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