Some considerations about the finite difference time domain method in general curvilinear coordinates

Author

Navarro, Enrique A. ; Wu, Chen ; Chung, Paul Y. ; Litva, John

Author_Institution

Commun. Res. Lab., McMaster Univ., Hamilton, Ont., Canada

Volume

4

Issue

12

fYear

1994

Firstpage

396

Lastpage

398

Abstract

Some considerations about the stability criterion and the dispersion of the finite difference time domain method in general curvilinear coordinates are presented. An expression for the stability criterion and for the dispersion relation is found to be possible only for a mesh without curvature, and for this particular case, a dispersion relation is obtained in three dimensions. The analysis of this relation shows that a resolution of 10 cells per wavelength is enough in order to keep the dispersion error within a reasonable limit. A study of the reflection in the interface between two regions with different metrics is presented as well.<>

Keywords

dispersion relations; electromagnetic wave propagation; finite difference time-domain analysis; numerical stability; stability criteria; FDTD; dispersion error; dispersion relation; finite difference time domain method; general curvilinear coordinates; stability criterion; Bibliographies; Boundary conditions; Dispersion; Electromagnetic propagation; Electromagnetic reflection; Finite difference methods; Shape; Stability criteria; Time domain analysis;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.336225

Filename

336225