| 空间高阶差分近似对三维ADI-FDTD数值色散的影响 |
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| 引用本文： | 张岩,吕善伟.空间高阶差分近似对三维ADI-FDTD数值色散的影响[J].北京航空航天大学学报,2005,31(6):632-636. |
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| 作者姓名： | 张岩 吕善伟 |
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| 作者单位： | 北京航空航天大学,电子信息工程学院,北京,100083;北京航空航天大学,电子信息工程学院,北京,100083 |
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| 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.
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| 关 键 词： | 时域分析 有限差分法 隐式交替方向 高阶 数值色散 |
| 文章编号： | 1001-5965(2005)06-0632-05 |
| 收稿时间： | 2004-01-13 |
| 修稿时间： | 2004年1月13日 |
Numerical dispersion analysis for 3 -D ADI-FDTD method using higher-order spatial difference |
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| Zhang Yan,Lü Shanwei.Numerical dispersion analysis for 3 -D ADI-FDTD method using higher-order spatial difference[J].Journal of Beijing University of Aeronautics and Astronautics,2005,31(6):632-636. |
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| Authors: | Zhang Yan Lü Shanwei |
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| Institution: | School of Electronics and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
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| 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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| Keywords: | time domain analysis finite difference method alternating-direction implicit(ADI) higher-order numerical dispersion |
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