Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio

Yuhui Wang; Langran Deng; Shunchuan Yang

doi:10.23919/ACES-China60289.2023.10249894

Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio

Yuhui Wang
, Langran Deng
, Shunchuan Yang

School of Electronic and Information Engineering

Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve the transverse magnetic (TM) problems efficiently. The SBP-SAT technique and the carefully designed interpolation matrix with the grid ratio 1:n are used to guarantee long-time stability and accuracy. By introducing a virtual intermediate domain, the interpolation matrix with an arbitrary grid ratio is derived, which is flexible to model complex structures. Numer-ical results show the accuracy, efficiency and flexibility of the proposed subgridding method.

Original language	English
Title of host publication	2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781733509657
DOIs	https://doi.org/10.23919/ACES-China60289.2023.10249894
State	Published - 2023
Event	2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023 - Hangzhou, China Duration: 15 Aug 2023 → 18 Aug 2023

Publication series

Name	2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023

Conference

Conference	2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023
Country/Territory	China
City	Hangzhou
Period	15/08/23 → 18/08/23

Keywords

Finite-difference time-domain (FDTD)
arbitrary grid ratio
stability
sub-gridding
summation-by-parts simultaneous approximation term (SBP-SAT)

Access to Document

10.23919/ACES-China60289.2023.10249894

Cite this

Wang, Y., Deng, L., & Yang, S. (2023). Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio. In 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023 (2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACES-China60289.2023.10249894

Wang, Yuhui ; Deng, Langran ; Yang, Shunchuan. / Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio. 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023).

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title = "Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio",

abstract = "A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve the transverse magnetic (TM) problems efficiently. The SBP-SAT technique and the carefully designed interpolation matrix with the grid ratio 1:n are used to guarantee long-time stability and accuracy. By introducing a virtual intermediate domain, the interpolation matrix with an arbitrary grid ratio is derived, which is flexible to model complex structures. Numer-ical results show the accuracy, efficiency and flexibility of the proposed subgridding method.",

keywords = "Finite-difference time-domain (FDTD), arbitrary grid ratio, stability, sub-gridding, summation-by-parts simultaneous approximation term (SBP-SAT)",

author = "Yuhui Wang and Langran Deng and Shunchuan Yang",

note = "Publisher Copyright: {\textcopyright} 2023 Applied Computational Electromagnetics Society (ACES).; 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023 ; Conference date: 15-08-2023 Through 18-08-2023",

year = "2023",

doi = "10.23919/ACES-China60289.2023.10249894",

language = "英语",

series = "2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023",

address = "美国",

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Wang, Y, Deng, L & Yang, S 2023, Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio. in 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023. 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023, Institute of Electrical and Electronics Engineers Inc., 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023, Hangzhou, China, 15/08/23. https://doi.org/10.23919/ACES-China60289.2023.10249894

Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio. / Wang, Yuhui; Deng, Langran; Yang, Shunchuan.
2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio

AU - Wang, Yuhui

AU - Deng, Langran

AU - Yang, Shunchuan

PY - 2023

Y1 - 2023

N2 - A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve the transverse magnetic (TM) problems efficiently. The SBP-SAT technique and the carefully designed interpolation matrix with the grid ratio 1:n are used to guarantee long-time stability and accuracy. By introducing a virtual intermediate domain, the interpolation matrix with an arbitrary grid ratio is derived, which is flexible to model complex structures. Numer-ical results show the accuracy, efficiency and flexibility of the proposed subgridding method.

AB - A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method with arbitrary grid ratios is proposed to solve the transverse magnetic (TM) problems efficiently. The SBP-SAT technique and the carefully designed interpolation matrix with the grid ratio 1:n are used to guarantee long-time stability and accuracy. By introducing a virtual intermediate domain, the interpolation matrix with an arbitrary grid ratio is derived, which is flexible to model complex structures. Numer-ical results show the accuracy, efficiency and flexibility of the proposed subgridding method.

KW - Finite-difference time-domain (FDTD)

KW - arbitrary grid ratio

KW - stability

KW - sub-gridding

KW - summation-by-parts simultaneous approximation term (SBP-SAT)

UR - https://www.scopus.com/pages/publications/85174262986

U2 - 10.23919/ACES-China60289.2023.10249894

DO - 10.23919/ACES-China60289.2023.10249894

M3 - 会议稿件

AN - SCOPUS:85174262986

T3 - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023

BT - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023

Y2 - 15 August 2023 through 18 August 2023

ER -

Wang Y, Deng L, Yang S. Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio. In 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023. Institute of Electrical and Electronics Engineers Inc. 2023. (2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023). doi: 10.23919/ACES-China60289.2023.10249894

Towards the Stable FDTD Subgridding Method with SBP-SAT Technique and Arbitrary Grid Ratio

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