A general methodology for introducing structured nonorthogonal grids into high-order finite-difference time-domain methods

Author

Armenta, Roberto B. ; Sarris, Costas D.

Author_Institution

Edward S. Rogers Sr. Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada

fYear

2009

fDate

7-12 June 2009

Firstpage

257

Lastpage

260

Abstract

This paper describes a general method for introducing structured nonorthogonal grids into high-order finite-difference time-domain schemes for solving Maxwell´s equations. The method employs a coordinate transformation to map an arbitrary nonorthogonal structured grid onto a rectangular grid with uniformly spaced cells where any of the well-known high-order finite-difference formulations can be applied. A simple two-dimensional guided wave problem is used to illustrate all the relevant concepts.

Keywords

Maxwell equations; finite difference time-domain analysis; waveguide discontinuities; waveguide theory; FDTD method; Maxwell equation; coordinate transformation; high-order finite-difference time-domain method; rectangular grid; structured nonorthogonal grid; two-dimensional guided wave problem; uniformly spaced cells; waveguide bend; Acoustics; Finite difference methods; Fluid dynamics; Grid computing; Maxwell equations; Mesh generation; Proposals; Strontium; Tensile stress; Time domain analysis; FDTD methods; waveguide bends;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Symposium Digest, 2009. MTT '09. IEEE MTT-S International

Conference_Location

Boston, MA

ISSN

0149-645X

Print_ISBN

978-1-4244-2803-8

Electronic_ISBN

0149-645X

Type

conf

DOI

10.1109/MWSYM.2009.5165682

Filename

5165682