Volume 31 Issue 06
Jun.  2005
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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(06): 632-636. (in Chinese)
Citation: 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(06): 632-636. (in Chinese)

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

  • Received Date: 13 Jan 2004
  • Publish Date: 30 Jun 2005
  • 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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