Stability of the FDTD algorithm on nonorthogonal grids related to the spatial interpolation scheme

Author

Schuhmann, Rolf ; Weiland, Thomas

Author_Institution

Fachgebiet Theorie Elektromagnetischer Felder, Darmstadt Univ. of Technol., Germany

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2751

Lastpage

2754

Abstract

In this paper we present a reformulation of the FDTD algorithm on nonorthogonal grids, which was originally proposed by Holland in 1983. Based on the matrix-vector notation of the finite integration technique (FIT), the new formulation allows to study a special type of instability, which is due to the spatial discretization and independent of the choice of the timestep. It is shown, that this type of instability can be avoided by a symmetric evaluation of the metric coefficients of the nonorthogonal grid. Two numerical examples demonstrate the stability properties and the high accuracy of the new method

Keywords

finite difference time-domain analysis; interpolation; numerical stability; FDTD algorithm; discretization; finite integration technique; matrix vector; metric coefficient; nonorthogonal grid; spatial interpolation; stability; Finite difference methods; Independent component analysis; Interpolation; Magnetic analysis; Magnetic fields; Maxwell equations; Stability analysis; Symmetric matrices; Tensile stress; Time domain analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717639

Filename

717639