作者：任寰弋, 童玲

作者单位：电子科技大学自动化学院, 四川 成都 610054

关键词：交变隐式差分; 时域有限差分; 时间稳定条件; 误差

摘要：

普通的FDTD法解的过程必须满足时间稳定性条件(Courant-Friedrich-Levy stability condition CFL)。当要模拟的问题具有微细结构时,由于空间步长必须足够小,相应的时间步长也需取得很小,这将使计算开销变得十分巨大。为了解决这个问题,人们提出了无条件稳定的基于交变隐式差分方向方法的时域有限差分法ADI-FDTD方法。然而,当时间步长取得较大的话,也会伴随着较大的误差。在Crank-Nicolson FDTD方法的基础上,给出了两个新的ADI-FDTD方法,相对于之前的ADI-FDTD方法在大时间步长的情况下,减小了误差。

A method to reduce error of ADI-FDTD

REN Huan-yi, TONG Ling

School of Automation Engineering, University of Electronic Science and Technology, Chengdu 610054, China

Abstract: As explicit finite-differerce time-domain (FDTD) methods must satisfy the Courant-Friedrich-Levy stability condition (CFL) stability condition,this makes computationally expensive when simulating the problem that has slightly constructures that small cell sizes and time steps are needed.To overcome the problem,unconditionally stable alternate-direction implicit (ADI) FDTD method has been recently proposed.However,it comes with large errors when time steps selected large.In this paper,the authors proposed two new ADI-FDTD method with reduced errors at large time steps,based on the Crank-Nicolson FDTD methods.

Keywords: ADI-FDTD; Courant-friedrich-levy; Stability condition; Error

2007, 33(4): 102-104128  收稿日期: 2006-12-7;收到修改稿日期: 2007-2-3

基金项目: 

作者简介: 任寰弋(1982-),男,硕士研究生,主要从事电磁场微波、平面传输线非理想情况分析。

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