ADI-FDTD算法的发展与改进

Recent Developments and Improvement on the ADI-FDTD Method

介绍了近年来出现的交替方向隐式时域有限差分法。该方法无条件稳定,时间步长不受(ADI-FDTD)稳定条件的限制,从而极大地节约计算时间。本文提供了微带线电路计算实例。分析了该方法存在的不Courant足,针对内存占用量较大,数值色散增加等问题,讨论了一些改进方法,并综述了方法的新ADI-FDTDADI-FDTD进展和发展趋势。

Some approaches of ADI-FDTD algorithm are presented in this paper. The method is unconditionally stable, and the maximum time-step size is not limited by the Courant-Friedrich-Levy (CFL) condition. As a result, the CPU time may be greatly saved. Numerical results of a microstrip structure achieved by ADI-FDTD are presented. To reduce the memory requirements and numerical dispersion of ADI-FDTD, some improvements, such as hybrid method and high-order method, are discussed. The method may be applied to simulations of complex structures especially those including both coarse and refined objects.