Numerical dispersion relation for FDTD method in general curvilinear coordinates

Author

Xiao, Fengchao ; Yabe, Hatsuo

Author_Institution

Dept. of Commun. & Syst., Univ. of Electro-Commun., Tokyo, Japan

Volume

7

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

48

Lastpage

50

Abstract

The numerical dispersion relation (NDR) of the finite-difference time-domain method in general curvilinear coordinates (FDTD-GCC) is discussed for a two-dimensional (2-D) uniformly skewed mesh. The analysis shows that the average scheme, which is being used in the FDTD-GCC method, causes an additional numerical dispersion error. When this dispersion error is considered, the FDTD-GCC method holds the same NDR as that of the FDTD discrete surface integral (FDTD-DSI) method. It also indicates that the stable range of the FDTD-GCC method, with respect to the skewing angle in the 2-D case, is narrowed due to the average scheme

Keywords

dispersion relations; error analysis; finite difference time-domain analysis; numerical stability; 2D uniformly skewed mesh; FDTD method; average scheme; dispersion error; finite-difference time-domain method; general curvilinear coordinates; numerical dispersion relation; skewing angle; Difference equations; Dispersion; Finite difference methods; Geometry; Magnetic fields; Maxwell equations; Time domain analysis; Two dimensional displays;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.553055

Filename

553055