Numerical dispersion analysis for 3 -D ADI-FDTD method using higher-order spatial difference
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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.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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[1] Smith G D. Numerical solution of partial differential equations:finite difference methods[M]. Oxford:Clarendon Press, 1985 [2] Zhao A P. Analysis of the numerical dispersion of the 2-D alternating-direction implicit FDTD method[J]. IEEE Trans Microwave Theory Tech, 2002, 50(4):1156~1164 [3] Sun M K, Tam W Y. Analysis of the numerical dispersion of the 2-D ADI-FDTD method with higher order scheme[J]. IEEE, APSIS, 2003, 4(6):348~351 [4] Namiki T. A new FDTD algorithm based on alternating direction implicit method[J]. IEEE Trans Microwave Theory Tech, 1999, 47(10):2003~2007 [5] Zhao A P. Determination of the direction that has maximum phase-velocity for the 2-D and 3-D FDTD methods based on Yee’s algorithm[J].IEEE Microwave and Wireless Components Letters, 2003, 13(6):226~228 -
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