A High-Accuracy ADI Scheme for the Vector Parabolic Equation Applied to the Modeling of Wave Propagation in Tunnels

被引:34
|
作者
Zhang, Xingqi [1 ]
Sarris, Costas D. [1 ]
机构
[1] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON M5S 3G4, Canada
关键词
Electromagnetic propagation; finite-difference methods; parabolic wave equation; RADIO TRANSMISSION LOSS;
D O I
10.1109/LAWP.2014.2313737
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
The vector parabolic equation has been widely used to model radio wave propagation in tunnels. For its numerical solution, the Crank-Nicolson as well as the Alternating Direction Implicit (ADI) methods have been employed, with the latter being significantly faster than the former. This letter focuses on a modified ADI method, namely a Mitchell-Fairweather scheme. Applied to the vector parabolic equation, this scheme significantly improves the accuracy of the original ADI formulation while retaining its computational efficiency. The relative advantages of the Mitchell-Fairweather scheme are demonstrated in a case study involving an actual tunnel geometry.
引用
收藏
页码:650 / 653
页数:4
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