一般曲線座標におけるFDTD法の分散特性

概要

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The FDTD method is considered by many as the most versatile and efficient approach for solving electromagnetic problems. As application of the FDTD method is more and more turned to the simulation of electromagnetic wave interactions with more complex media, a good understanding of the numerical error of the FDTD method becomes mandatory. To study this numerical error, dispersion analysis is often employed. Fig. 1 graphs typical variations of the numerical wavenumber with the angular frequency of the propagating wave in FDTD grids. It shows that large numerical dispersion error occurs when the grid is coarsely resolved. In this paper, we will discuss the numerical dispersion characteristics of FDTD method in general curvilinear coordinates (FDTD-GCC) in a 2-D uniformly skewed mesh, as shown in Fig. 2.
社団法人電子情報通信学会の論文
1997-03-06