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一种具有弱条件稳定的分裂式FDTD方法

A Split-Step FDTD Scheme with Weakly Conditional Stability
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摘要 近十几年来,时域有限差分算法(FDTD)得到了快速发展,然而该算法一直受稳定性条件(CFL)的限制。为突破这一限制一种具有弱条件稳定(WCS)的FDTD算法得到发展,提高了FDTD的计算效率,但该方法存在精度不高的缺点。文中针对弱条件稳定FDTD方法精度不高这一弱点,提出了一种新的算法,该算法具有弱条件稳定性,且计算速度比ADI-FDTD方法有显著提高,并通过数值实验验证了该方法的准确性和有效性。 Finite-difference time-domain (FDTD) has been developed greatly in recent decades. However, for the conventional explicit FDTD method, the computational efficiency is restricted by the Courant-Friedrieh-Levy (CFL) stability condition. Though, the accuracy of the WCS is not good as FDTD. In recent years, a weakly conditionally stable (WCS) FDTD is adapted for FDTD. In this paper, a novel split-step finite-difference time-domain (NSS-FDTD) method for solving three-dimensional Maxwell's equations is presented, which is also proven to be weakly conditionally stable (WCS). Com- pared with the ADI-FDTD method, the proposed method has high calculating speed. The efficiency and accuracy of the pro- posed method are validated by the numerical simulation.
出处 《微波学报》 CSCD 北大核心 2009年第6期18-22,共5页 Journal of Microwaves
基金 国家自然科学基金重点项目(60831001) 国防预研基金
关键词 CFL稳定条件 时域有限差分 弱条件稳定 交替方向隐式时域有限差分 CFL stability condition, FDTD, Weakly conditional stability, ADI-FDTD
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参考文献9

  • 1Taflove A. Computational Electrodynamics-the Finite- Difference Time-Domain Method [ M ]. Boston, MA : Artech House, Norwood, 1995. 被引量:1
  • 2Yee K S. Numerical solution of initial boundary value problems involving Maxwell' s equations in isotropic media[ J]. IEEE Trans Antennas Propagation, 1966,14 ( 3 ) : 302-307. 被引量:1
  • 3孔永丹,褚庆昕.新型无条件稳定SSCN-FDTD算法[J].微波学报,2009,25(5):6-9. 被引量:1
  • 4Namiki T. 3-D ADI-FDTD scheme-Unconditionally stable time domain algorithm for solving full vector Maxwell's equations [ J ]. IEEE Trans Microwave Theory Tech, 2000,48(10) : 1743-1748. 被引量:1
  • 5Huang B ,Wang G,Jiang Y S ,Wang W B. A hybrid implicitexplicit FDT'D scheme with weakly conditional stability [ J ]. Microwave Opt Technal Lett ,21303,39(2) :97-101. 被引量:1
  • 6Chen Juan, Wang Jianguo. A Novel WCS-FDTD Method With Weakly Conditional Stability[ J]. IEEE Transactions on Electromagnetic Compatibility,2007,49(2) :419-426. 被引量:1
  • 7Chen J, Wang J. Using WCS-FDTD method to simulate various small aperture-coupled metallic enclosures [ J ]. Microwave Opt Technol Lett ,2007,49 ( 2 ) : 1852-1858. 被引量:1
  • 8Chen J, Wang J. Comparison between HIE-FDTD method and ADI-FDTD method [ J ]. Microwave Opt Technol Lett, 2007,49 : 1001 - 1005. 被引量:1
  • 9Chen J, Wang J. Error between unconditionally stable FDTD methods and conventional FDTD method [ J ]. Electron Lett ,2006,42 : 1132-1133. 被引量:1

二级参考文献11

  • 1Yee K S. Numerical solution of initial boundary value problems involving Maxwell' s equations in isotropic media[J]. IEEE Trans. Antennas Propagat, 1966, 14 (3) : 302-307. 被引量:1
  • 2Taflove A, Hagness S C. Computational Electrodynamics- the Finite-Difference Time-Domain Method, 2nd ed. [ M ]. Boston, MA: Artech House, 2000. 被引量:1
  • 3Zheng F H, Chen Z Z, Zhang J Z. A finite-difference time domain method without the Courant stability condition [J]. IEEE Microwave Guided Wave Lett. , 1999, 9: 441-443. 被引量:1
  • 4Zheng F H, Chen Z Z, Zhang J Z. Toward the development of a three-dimensional unconditionally stable finitedifference time-domain method [ J ]. IEEE Trans Microwave Theory Tech, 2000, 48 (9) : 1550-1558. 被引量:1
  • 5Lee J, Forberg B. A split step approach for the 3-D Maxwell's equations [ J ]. Comput Appl Math, 2003, 158 : 485-505. 被引量:1
  • 6Lee J, Forberg B. Some unconditionally stable time stepping methods for the 3D Maxwell's equations [ J ]. Comput Appl Math, 2004, 166:497-523. 被引量:1
  • 7Fu W M, Tan E L. Development of split-step FDTD method with higher-order spatial accuracy [ J ]. Electron Lett, 2004, 40 (20) : 1252-1253. 被引量:1
  • 8Xiao F, Tang X H, Guo L. Three-dimensional unconditionally-stable operator-splitting FDTD methods [ C ]. IEEE Antennas and Propagation International Symposion, 2007. 4909-4912. 被引量:1
  • 9Kong Y D, Chu Q X. An unconditionally-stable FDTD method based on split-step scheme for solving three-di- mensional Maxwell equations[ C]. IEEE ICMMT, 2008. 194-197. 被引量:1
  • 10Fu W M, Tan E L. Development of split-step FDTD method with higher-order spatial accuracy[ J]. Electron Lett, 2004, 40 (20): 1252-1253. 被引量:1

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