DocumentCode :
944566
Title :
Conformal method to eliminate the ADI-FDTD staircasing errors
Author :
Chai, Mei ; Xiao, Tian ; Liu, Qing Huo
Author_Institution :
Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA
Volume :
48
Issue :
2
fYear :
2006
fDate :
5/1/2006 12:00:00 AM
Firstpage :
273
Lastpage :
281
Abstract :
The alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is an unconditionally stable method and allows the time step to be increased beyond the Courant-Friedrich-Levy (CFL) stability condition. This method is potentially very useful for modeling electrically small but complex features often encountered in applications. As the regular FDTD method, however, the spatial discretization in the ADI-FDTD method is only first-order accurate for discontinuous media; several researchers have shown that the errors can be very high when the regular ADI-FDTD method is applied to such discontinuous media. On the other hand, the conformal FDTD method has recently emerged as an efficient FDTD method with higher order accuracy. In this work, a second-order accurate ADI-FDTD method using the conformal approximation of spatial derivatives is proposed. This new scheme, called the ADI-CFDTD method, retains the second-order accuracy in both temporal and spatial discretizations even for discontinuous media with metallic structures, and is unconditionally stable. 2D and 3D examples demonstrate the efficacy of this method and its application in EMC problems.
Keywords :
approximation theory; electromagnetic compatibility; finite difference time-domain analysis; numerical stability; Courant-Friedrich-Levy stability; EMC; FDTD; alternating-direction-implicit finite-difference time-domain; conformal approximation; conformal method; discontinuous media; Application software; Computer errors; Degradation; Dielectric materials; Electrical capacitance tomography; Electromagnetic compatibility; Finite difference methods; Helium; Stability; Time domain analysis; ADI-CFDTD method; ADI-FDTD method; staircasing error;
fLanguage :
English
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9375
Type :
jour
DOI :
10.1109/TEMC.2006.874084
Filename :
1634740
Link To Document :
بازگشت