A NOVEL 3-D WEAKLY CONDITIONALLY STABLE FDTD ALGORITHM

被引：20

作者：

Wang, J. ^{[1
]}

Zhou, B. ^{[1
]}

Shi, L. ^{[1
]}

Gao, C. ^{[1
]}

Chen, B. ^{[1
]}

机构：

[1] PLA Univ Sci & Technol, Natl Key Lab Electromagnet Environm Effects & Ele, Nanjing, Jiangsu, Peoples R China

来源：

PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER | 2012年 / 130卷

基金：

中国国家自然科学基金;

关键词：

TIME-DOMAIN ALGORITHM; SCHEME; ADI; IMPLEMENTATIONS; GPU;

D O I：

10.2528/PIER12071904

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

For analyzing the electromagnetic problems with the fine structures in one or two directions, a novel weakly conditionally stable finite-direrence time-domain (WCS-FDTD) algorithm is proposed. By dividing the 3-D Maxwell's equations into two parts, and applying the Crank-Nicolson (CN) scheme to each part, a four sub-step implicit procedures can be obtained. Then by adjusting the operational order of four sub-steps, a novel 3-D WCS-FDTD algorithm is derived. The proposed method only needs to solve four implicit equations, and the Courant-Friedrich-Levy (CFL) stability condition of the proposed algorithm is more relaxed and only determined by one space discretisation. In addition, numerical dispersion analysis demonstrates the numerical phase velocity error of the weakly conditionally stable scheme is less than that of the 3-D ADI-FDTD scheme.

引用

页码：525 / 540

页数：16

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