二维ADI多域伪谱时域算法

Two-dimensional ADI multi-domain pseudospectral time domain algorithm

针对时域有限差分算法和传统的伪谱时域算法稳定性不足的问题,提出了一种将AD I技术与多区域伪谱时域算法相结合的AD I-MPSTD算法,并采用紧凑矩阵形式对其进行清晰的描述.此算法不仅具有多区域伪谱时域算法分析任意曲边形体问题的精确性和灵活性,而且稳定性和效率也相应地提高.AD I-MPSTD的数值结果与传统的算法的结果相比,证明了该算法的高精度和良好的稳定性.

A new algorithm which combines the ADI technique and the multi-domain pseudospectral time domain algorithm is presented to solve the stability problem restricted by the finite-difference time-domain （FDTD） and traditional multi-domain pseudospectral time domain （PSTD）. The compact matrix is used to clearly describe the 2-D ADI multi-domain pseudospectral time domain （ADI-MPSTD）. This algorithm not only maintains accuracy and flexibility of PSTD for an accurate treatment of arbitrarily curved objects, but also improves stability and efficiency. Compared with numerical results calculated by some conventional algorithm, the results of ADI-MPSTD fully demonstrate higher accuracy and good stability.