中国物理B ›› 2004, Vol. 13 ›› Issue (11): 1892-1895.doi: 10.1088/1009-1963/13/11/022

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇    下一篇

One-step alternating direction implicit FDTD algorithm

刘少斌, 刘三秋   

  1. School of Sciences, Nanchang University, Nanchang 330047, China
  • 收稿日期:2003-11-27 修回日期:2004-04-26 出版日期:2005-06-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the National High Technology Research and Development Programme of China (Grant No 2002AA835040), and Key Laboratory of Defence Technology (Grant No 51483010301KG0102).

One-step alternating direction implicit FDTD algorithm

Liu Shao-Bin (刘少斌), Liu San-Qiu (刘三秋)   

  1. School of Sciences, Nanchang University, Nanchang 330047, China
  • Received:2003-11-27 Revised:2004-04-26 Online:2005-06-20 Published:2005-06-20
  • Supported by:
    Project supported by the National High Technology Research and Development Programme of China (Grant No 2002AA835040), and Key Laboratory of Defence Technology (Grant No 51483010301KG0102).

PDF (PC)

546

赞

摘要： In this paper, a novel unconditionally stable alternating direction implicit finite-different time-domain method (ADI-FDTD) called the one-step ADI-FDTD method is presented, where the calculation for one discrete time step is performed using only one procedure, but not the original two sub-updating procedures. Consequently, the proposed one-step ADI-FDTD methods have consumed less computer memory and computation resources and have been faster than the conventional ADI-FDTD methods. We analytically and numerically verified that the new algorithm is unconditionally stable and free from the Courant condition.

Abstract: In this paper, a novel unconditionally stable alternating direction implicit finite-different time-domain method (ADI-FDTD) called the one-step ADI-FDTD method is presented, where the calculation for one discrete time step is performed using only one procedure, but not the original two sub-updating procedures. Consequently, the proposed one-step ADI-FDTD methods have consumed less computer memory and computation resources and have been faster than the conventional ADI-FDTD methods. We analytically and numerically verified that the new algorithm is unconditionally stable and free from the Courant condition.

Key words: ADI-FDTD, FDTD methods, Courant condition, unconditionally stable

中图分类号:  (Finite-difference methods)

  • 02.70.Bf