北京航空航天大学学报 ›› 2005, Vol. 31 ›› Issue (06): 632-636.

• 论文 • 上一篇    下一篇

空间高阶差分近似对三维ADI-FDTD 数值色散的影响

张岩, 吕善伟   

  1. 北京航空航天大学 电子信息工程学院, 北京 100083
  • 收稿日期:2004-01-13 发布日期:2010-09-21
  • 作者简介:张 岩(1980-),男,北京人,博士生, flyflyhighhigh@yahoo.com.cn.
  • 基金资助:

    国家自然科学基金资助项目(60271012)

Numerical dispersion analysis for 3 -D ADI-FDTD method using higher-order spatial difference

Zhang Yan, Lü Shanwei   

  1. School of Electronics and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2004-01-13 Published:2010-09-21

摘要: 研究采用空间高阶差分近似的三维交替方向隐式时域有限差分法(ADI-FDTD,Alternating-Direction Implicit Finite-Difference Time-Domain)数值色散问题,首先推导了采用空间高阶差分近似的数值色散迭代公式,分别对最小相速方向和最大相速方向进行二阶、四阶、六阶、十阶空间差分数值色散误差的数值计算和比较,并分析数值色散对空间差分阶数的依赖关系,最后发现在均匀网格中采用四阶空间差分能得到较好的效果.

Abstract: Attention was focused on the numerical dispersion property of 3-D ADI-FDTD (alternating-direction implicit finite-difference time-domain) method using the higher-order spatial difference. First, the iterative formulas of the numerical dispersion relation for the higher-order spatial difference were derived. And secondly, the numerical dispersion values were computed and compared for the second-order, fourth-order, sixth-order and tenth-order spatial difference along the maximum phase-velocity direction and the minimum phase-velocity direction, respectively. And consequently the numerical dispersion was investigated as a function of higher-order spatial difference. Finally it is found that the fourth-order spatial difference is better than others for the uniform cell case.

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