Title :
A High-Accuracy ADI Scheme for the Vector Parabolic Equation Applied to the Modeling of Wave Propagation in Tunnels
Author :
Xingqi Zhang ; Sarris, Costas D.
Author_Institution :
Electr. & Comput. Eng, Univ. of Toronto, Toronto, ON, Canada
Abstract :
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.
Keywords :
parabolic equations; radiowave propagation; tunnels; Crank-Nicolson; Mitchell-Fairweather scheme; alternating direction implicit; computational efficiency; numerical solution; radiowave propagation; tunnels; vector parabolic equation; wave propagation modeling; Electromagnetic propagation; Finite difference methods; Parabolic equations; Vectors; Electromagnetic propagation; finite-difference methods; parabolic wave equation;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2014.2313737
