Abstract
We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 129-143 |
| Number of pages | 15 |
| Journal | Journal of Scientific Computing |
| Volume | 39 |
| Issue number | 1 |
| DOIs | |
| State | Published - Apr 2009 |
Fingerprint
Keywords
- Finite difference time domain method
- Nonorthogonal grid
- Overlapping cells
- Yee's scheme
ASJC Scopus subject areas
- Software
- Computational Theory and Mathematics
- Theoretical Computer Science
- Engineering(all)
Cite this
Overlapping Yee FDTD method on nonorthogonal grids. / Liu, Jinjie; Brio, Moysey; Moloney, Jerome V.
In: Journal of Scientific Computing, Vol. 39, No. 1, 04.2009, p. 129-143.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Overlapping Yee FDTD method on nonorthogonal grids
AU - Liu, Jinjie
AU - Brio, Moysey
AU - Moloney, Jerome V
PY - 2009/4
Y1 - 2009/4
N2 - We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.
AB - We propose a new overlapping Yee (OY) method for solving time-domain Maxwell's equations on nonorthogonal grids. The proposed method is a direct extension of the Finite-Difference Time-Domain (FDTD) method to irregular grids. The OY algorithm is stable and maintains second-order accuracy of the original FDTD method, and it overcomes the late-time instability of the previous FDTD algorithms on nonorthogonal grids. Numerical examples are presented to illustrate the accuracy, stability, convergence and efficiency of the OY method.
KW - Finite difference time domain method
KW - Nonorthogonal grid
KW - Overlapping cells
KW - Yee's scheme
UR - http://www.scopus.com/inward/record.url?scp=62949139574&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=62949139574&partnerID=8YFLogxK
U2 - 10.1007/s10915-008-9253-1
DO - 10.1007/s10915-008-9253-1
M3 - Article
AN - SCOPUS:62949139574
VL - 39
SP - 129
EP - 143
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
SN - 0885-7474
IS - 1
ER -