二维单步交替方向隐式时域有限差分法吸收边界性能分析  

Performances of absorbing boundary conditions on 2-D leapfrog alternating direction implicit FDTD

作　　者：王文兵 周辉[1] 刘逸飞[1] 马良[1] 程引会[1] Wang Wenbing;Zhou Hui;Liu Yifei;Ma Liang;Cheng Yinhui(National Key Laboratory of Intense Pulsed Radiation Simulation and Effect, Northwest Institute of Nuclear Technology,Xi’an 710024,China)

机构地区：[1]西北核技术研究所,强脉冲辐射环境模拟与效应国家重点实验室,西安710024

出　　处：《强激光与粒子束》2018年第10期53-57,共5页High Power Laser and Particle Beams

基　　金：强脉冲辐射环境模拟与效应国家重点实验室基金项目(SKLIPR1505)

摘　　要：给出了两种适用于二维单步交替方向隐式时域有限差分(2-D Leapfrog ADI-FDTD)方法的吸收边界:Mur边界和卷积完全匹配层(CPML)边界。单步交替方向隐式时域有限差分(Leapfrog ADI-FDTD)方法是一种无条件稳定的全隐式差分算法,由于二维空间Leapfrog ADI-FDTD的迭代同时存在显式和隐式方程,故而不同电磁分量的边界条件也存在差异。从原理出发,推导了适用于2-D Leapfrog ADI-FDTD方法的CPML边界条件,并与一阶Mur边界进行比较,利用自由空间的反射误差来表征两种边界的吸收性能,简要总结了两种吸收边界的优缺点。This paper presents two kinds of absorbing boundaries for the two-dimensional(2-D)Leapfrog Alternating Direction Implicit Finite-Difference Time-Domain(Leapfrog ADI-FDTD)method-Mur boundary and CPML absorbing boundary condition.Leapfrog ADI-FDTD had unconditional stability and all the iterative equations were implicit.However,the electric and magnetic field components for the 2-D leapfrog ADI-FDTD method were updated implicitly as well as explicitly,absorbing boundary condition for difference components might keep diversity.Updating equations of CPML are presented in the paper according to its derived theory and compared with first-order Mur absorbing boundary condition.What’s more,the reflection error of free space was used to represent absorbing ability of absorbing boundary condition.

关 键 词：LEAPFROG ADI-FDTD 无条件稳定 Mur吸收边界 CPML吸收边界 吸收性能 

分 类 号：TM152[电气工程—电工理论与新技术]