Ruction of numerical dispersion in 2D-LOD-FDTD method through parameter optimization

Author

Qi-Feng Liu ; Wen-Yan Yin ; Chong-Hua Fang ; Jing-Wei Liu

fYear

2012

fDate

6-9 Nov. 2012

Firstpage

278

Lastpage

281

Abstract

This paper presents a parameter optimized local one dimension (PO-LOD) FDTD method based on (2, 4) stencil to achieve better dispersion performance. With different optimization schemes, the method can be applied to satisfy various requirements, such as minimum dispersion error in the axes direction, in the diagonal direction, for two arbitrary angles, and minimum average dispersion error. Through the stability analysis for the (2, 4) LOD-FDTD method, it can be proved all the schemes proposed here are unconditionally stable. Through comparison, it can be concluded that (2, 4) LOD-FDTD method outperforms the previous parameter optimized LOD-FDTD method based on the (2, 2) LOD-FDTD stencil in several aspects.

Keywords

finite difference time-domain analysis; optimisation; (2,2) LOD-FDTD stencil; (2,4) LOD-FDTD method; 2D-LOD-FDTD method; PO-LOD; minimum dispersion error; numerical dispersion ruction; parameter optimization; parameter optimized LOD-FDTD method; parameter optimized local one dimension; Approximation methods; Dispersion; Finite difference methods; Minimization; Numerical stability; Optimization; Time domain analysis; Courant-Friedrich-Levy (CFL) limit; alternating direction implicit; locally one-dimensional scheme; unconditional stability and numerical dispersion;

fLanguage

English

Publisher

ieee

Conference_Titel

Environmental Electromagnetics (CEEM), 2012 6th Asia-Pacific Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4673-0030-8

Type

conf

DOI

10.1109/CEEM.2012.6410621

Filename

6410621