Stability of FDTD in curvilinear coordinates

Author

Pauk, Lukas ; Skvor, Zbynek

Author_Institution

Dept. of Electromagn. Field, Czech Tech. Univ., Prague, Czech Republic

Volume

2

fYear

2001

fDate

4-7 July 2001

Firstpage

314

Abstract

A new approach suitable for determination of the maximal stable time step for the finite-difference time domain (FDTD) algorithm in curvilinear coordinates is presented. It is based on a modified variable separation method, applied to the set of difference equations of the FDTD algorithm. Investigation is carried out in spherical and cylindrical coordinates. A simple yet accurate enough approximative formula for cylindrical coordinates is presented. Applied to Cartesian coordinates, this approach yields the well-known Courrant condition.

Keywords

Maxwell equations; difference equations; finite difference time-domain analysis; numerical stability; Cartesian coordinates; Courrant condition; FDTD stability; curvilinear coordinates; cylindrical coordinates; difference equations; finite-difference time domain method; maximal stable time step; modified variable separation method; spherical coordinates; Algorithm design and analysis; Difference equations; Electromagnetic fields; Electromagnetic modeling; Finite difference methods; Maxwell equations; Stability; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

EUROCON'2001, Trends in Communications, International Conference on.

Conference_Location

Bratislava, Slovakia

Print_ISBN

0-7803-6490-2

Type

conf

DOI

10.1109/EURCON.2001.938123

Filename

938123