Wave propagation of the traffic flow dynamic model based on wavefront expansion |
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Authors: | Li Li Shi Peng-fei |
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Affiliation: | Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China. joujou@sjtu.edu.cn. |
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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 Pade 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. |
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