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CLC number: U491.112
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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Wave propagation of the traffic flow dynamic model based on 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 A, 2004, 5(11): 1398-1404.
@article{title="Wave propagation of the traffic flow dynamic model based on wavefront expansion",
author="LI Li, SHI Peng-fei",
journal="Journal of Zhejiang University Science A",
volume="5",
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pages="1398-1404",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.1398"
}
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%DOI 10.1631/jzus.2004.1398
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.1398
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.
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