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Bio-Design and Manufacturing  2022 Vol.5 No.11 P.1398~1404

10.1631/jzus.2004.1398


Wave propagation of the traffic flow dynamic model based on wavefront expansion


Author(s):  LI Li, SHI Peng-fei

Affiliation(s):  Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China

Corresponding email(s):   joujou@sjtu.edu.cn

Key Words:  Perturbations, Macroscopic traffic flow model, Wavefront expansion


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LI Li, SHI Peng-fei. Wave propagation of the traffic flow dynamic model based on wavefront expansion[J]. Journal of Zhejiang University Science D, 2022, 5(11): 1398~1404.

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Abstract: 
This paper discusses propagation of perturbations along traffic flow modeled by a modified second-order macroscopic model through the wavefront expansion technique. The coefficients in this expansion satisfy a sequence of transport equations that can be solved analytically. One of these analytic solutions yields information about wavefront shock. Numerical simulations based on a Padé approximation of this expansion were done at the end of this paper and results showed that propagation of perturbations at traffic flow speed conforms to the theoretical analysis results.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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