二维 TM 波时域非连续伽略金算法理论数值通量研究

摘要

The main difference between the discontinuous Galerkin time domain (DGTD)and the fi-nite element time domain (FETD)is the exchanging field by numerical flux.Based on the weak form solu-tion of TM case in 2D,the physical meaning of numerical flux and the different express between main unit and adjacent unit are firstly described.And then,combining the above,the DGTD iterative formulae are obtained.Finally,numerical examples of line source radiation and interference are given to demonstrate the validity of DGTD algorithm.%采用数值通量的方式进行场量交互是时域非连续伽略金(Discontinuous Galerkin Time Do-main,DGTD)算法区别于时域有限元(Finite Element Time Domain,FETD)方法的主要方面。从二维 TM情形弱解方程出发,讨论了当前三角形单元和相邻单元进行场量交互时数值通量物理意义和不同形式。结合数值通量和弱解方程得到了 DGTD 算法的迭代计算式。给出了线元辐射和双线元干涉的数值算例,算例结果表明了文中方法的正确性。