Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method
Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method
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DOI：
10.1109/22.920165
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发表时间：
2001-05
影响因子：
4.3
通讯作者：
Fenghua Zheng;Z. Chen
中科院分区：
文献类型：
--
作者：
Fenghua Zheng;Z. Chen
本文对最近无条件稳定的三维有限差分时间域（FDTD）方法进行了全面分析，其中应用了交替的方向性技术。分析得出分散关系，并研究了空间和时间步骤对数值分散的影响。发现无条件稳定的FDTD方案比YEE方案的常规FDTD具有优势，用于建模需要分级网格的细几何结构。无条件稳定的FDTD允许在精细网格区域中使用大的时间步长，同时维持小于与粗网格区域相关的数值分散误差。
This paper presents a comprehensive analysis of numerical dispersion of the recently developed unconditionally stable three-dimensional finite-difference time-domain (FDTD) method where the alternating-direction-implicit technique is applied. The dispersion relation is derived analytically and the effects of spatial and temporal steps on the numerical dispersion are investigated. It is found that the unconditionally stable FDTD scheme has advantages over the conventional FDTD of the Yee's scheme in modeling structures of fine geometry where a graded mesh is required. The unconditionally stable FDTD allows the use of a large time step in a region of fine meshes while maintaining numerical dispersion errors smaller than those associated with the region of coarse meshes.