TY - JOUR
T1 - A stable FDTD subgridding scheme with SBP-SAT for transient TM analysis
AU - Cheng, Yu
AU - Wang, Yuhui
AU - Liu, Hanhong
AU - Li, Lilin
AU - Wang, Xiang Hua
AU - Zhang, Xingqi
AU - Chen, Zhizhang
AU - Yang, Shunchuan
N1 - Publisher Copyright:
© 2023 Elsevier Inc.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - We proposed a provably stable FDTD subgridding method for accurate and efficient transient electromagnetic analysis. In the proposed method, several field components are properly added to the boundaries of Yee's grid to make sure that the discrete operators meet the 2nd-order and 4th-order summation-by-parts (SBP) properties. Then, by incorporating the simultaneous approximation terms (SATs) into the finite-difference time-domain (FDTD) method, the proposed FDTD subgridding method mimics the energy estimate of the continuous Maxwell's equations at the semi-discrete level to guarantee its stability. Furthermore, to couple multiple mesh blocks with different mesh sizes, the interpolation matrices are also derived. The proposed FDTD subgridding method is accurate, efficient, easy to implement and integrate into the existing FDTD codes with only simple modifications. At last, four numerical examples with fine structures are carried out to validate the effectiveness of the proposed method.
AB - We proposed a provably stable FDTD subgridding method for accurate and efficient transient electromagnetic analysis. In the proposed method, several field components are properly added to the boundaries of Yee's grid to make sure that the discrete operators meet the 2nd-order and 4th-order summation-by-parts (SBP) properties. Then, by incorporating the simultaneous approximation terms (SATs) into the finite-difference time-domain (FDTD) method, the proposed FDTD subgridding method mimics the energy estimate of the continuous Maxwell's equations at the semi-discrete level to guarantee its stability. Furthermore, to couple multiple mesh blocks with different mesh sizes, the interpolation matrices are also derived. The proposed FDTD subgridding method is accurate, efficient, easy to implement and integrate into the existing FDTD codes with only simple modifications. At last, four numerical examples with fine structures are carried out to validate the effectiveness of the proposed method.
KW - Finite-difference time-domain (FDTD)
KW - Simultaneous approximation terms
KW - Stability
KW - Subgridding
KW - Summation-by-parts
KW - Summation-by-parts simultaneous approximation term (SBP-SAT)
UR - https://www.scopus.com/pages/publications/85173208284
U2 - 10.1016/j.jcp.2023.112510
DO - 10.1016/j.jcp.2023.112510
M3 - 文章
AN - SCOPUS:85173208284
SN - 0021-9991
VL - 494
JO - Journal of Computational Physics
JF - Journal of Computational Physics
M1 - 112510
ER -