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近十几年来,时域有限差分算法(FDTD)得到了快速发展,然而该算法一直受稳定性条件(CFL)的限制。为突破这一限制一种具有弱条件稳定(WCS)的FDTD算法得到发展,提高了FDTD的计算效率,但该方法存在精度不高的缺点。文中针对弱条件稳定FDTD方法精度不高这一弱点,提出了一种新的算法,该算法具有弱条件稳定性,且计算速度比ADI-FDTD方法有显著提高,并通过数值实验验证了该方法的准确性和有效性。
In the last ten years, the finite difference time domain (FDTD) algorithm has been rapidly developed, however, the algorithm has been limited by the stability condition (CFL). To overcome this limitation, an FDTD algorithm with weakly-stable condition (WCS) has been developed and the computational efficiency of FDTD has been improved. However, this method has the disadvantage of low accuracy. Aiming at the weakness of weakly stable FDTD method, a new algorithm is proposed which has weak condition stability and the computational speed is significantly higher than that of ADI-FDTD method. Numerical experiments show that the proposed method is validated by numerical experiments. The accuracy and effectiveness.