摘要
讨论了非条件稳定交替方向隐式(ADI)时域有限差分法(FDTD),把ADI-FDTD应用于传输线瞬态分析,首次推导出基于ADI-FDTD算法的传输线电报方程迭代公式,定义了传输线边界条件,进行了非条件稳定性的理论证明。该方法克服了Courant稳定条件的限制,时间步长只由数值色散误差来确定。计算结果表明,该方法与传统的FDTD的计算结果吻合,可以大大提高计算效率,对于长时间才能稳定的问题具有较高的使用价值。
An unconditionally stable Finite Difference Time Domain （FDTD） method using the principle of Alternating Direction Implicit （ADI） is presented. The ADI-FDTD is used to transient analysis of transmission line. The relation of telegraph equation recursion of the transmission line based on ADI-FDTD is derived. The terminal conditions of the transmission line are defined. The unconditional stability of the ADI-FDTD is theoretically analyzed. The ADI-FDTD overcomes the constraints of the Courant-Friedrich-Levy condition, and the maximum time step size is only limited by numerical errors. Results of numerical experiments confirm that the ADI-FDTD is consistent with the conventional FDTD; however, its efficiency is higher and it can be widely used in cases that long time is need to approach stable.
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2010年第5期1438-1441,共4页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(50275040)
