Title :
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
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;
Conference_Titel :
Microwave Symposium Digest, 2009. MTT '09. IEEE MTT-S International
Conference_Location :
Boston, MA
Print_ISBN :
978-1-4244-2803-8
Electronic_ISBN :
0149-645X
DOI :
10.1109/MWSYM.2009.5165682
