Generalized Alternating-Direction Implicit Finite-Difference Time-Domain Method in Curvilinear Coordinate System

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DOI: 10.4236/jemaa.2010.25042   PDF   HTML     7,431 Downloads   12,071 Views   Citations

Abstract

In this paper, a novel approach is introduced towards an efficient Finite-Difference Time-Domain (FDTD) algorithm by incorporating the Alternating Direction Implicit (ADI) technique to the Nonorthogonal FDTD (NFDTD) method. This scheme can be regarded as an extension of the conventional ADI-FDTD scheme into a generalized curvilinear coordinate system. The improvement on accuracy and the numerical efficiency of the ADI-NFDTD over the conventional nonorthogonal and the ADI-FDTD algorithms is carried out by numerical experiments. The application in the modelling of the Electromagnetic Bandgap (EBG) structure has further demonstrated the advantage of the proposed method.

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W. Song and Y. Hao, "Generalized Alternating-Direction Implicit Finite-Difference Time-Domain Method in Curvilinear Coordinate System," Journal of Electromagnetic Analysis and Applications, Vol. 2 No. 5, 2010, pp. 324-332. doi: 10.4236/jemaa.2010.25042.

Conflicts of Interest

The authors declare no conflicts of interest.

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