一种优化参数的LOD-FDTD算法及其数值特性  

A parameter optimized LOD-FDTD method and its numerical dispersion analysis

作　　者：苏敏[1] 刘培国[1] SU Min;LIU Peiguo(College of Electronic Science and Engineering,National University of Defense Technology, Changsha Hunan 410073, China)

机构地区：[1]国防科学技术大学电子科学与工程学院,湖南长沙410073

出　　处：《太赫兹科学与电子信息学报》2017年第4期652-655,669,共5页Journal of Terahertz Science and Electronic Information Technology

基　　金：国家安全重大基础研究资助项目(973项目)(613138;613165);国家自然科学基金资助项目(61372029)

摘　　要：提出一种改进的参数优化局部一维时域有限差分(LOD-FDTD)方法,该方法将时间步长等分成3步,沿坐标方向加上色散控制因子,以降低数值色散误差。本文首先证明改进方法的稳定性,并分析其数值色散误差。结果表明改进方法的数值色散误差小于传统的LOD-FDTD方法。An improved3-D Locally One-Dimensional Finite-Difference Time-Domain(LOD-FDTD)method is presented.In the proposed method,the time step is divided into three sub-steps.Dispersion control parameters are introduced into X,Y and Z directions.The results show that the method is stable and the normalized numerical phase velocity errors are smaller than that of the conventional LOD-FDTD method.

关 键 词：局部一维时域有限差分 色散控制因子 稳定性 数值色散 CFL条件数 

分 类 号：O441[理学—电磁学]