A semi-discrete model of traffic flow in correspondence with a continuum model under Lagrange coordinate system

We propose a semi-discrete model by dividing traffic flow into moving particles, and establish its corresponding relation with a conserved high-order (CHO) continuum model under the Lagrange coordinate system. This suggests that they should share the same or similar properties and we prove the bound...

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Bibliographic Details
Published in:Physica A 2022-03, Vol.590, p.126684, Article 126684
Main Authors: Meng, Y.C., Lin, Z.Y., Li, X.Y., Qiao, D.L., Guo, M.M., Zhang, P.
Format: Article
Language:English
Subjects:
Car-following model
CHO model
Conservative system
Physically bounded solution
Wide moving jam
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Summary:We propose a semi-discrete model by dividing traffic flow into moving particles, and establish its corresponding relation with a conserved high-order (CHO) continuum model under the Lagrange coordinate system. This suggests that they should share the same or similar properties and we prove the boundedness of solutions and analytically derive a traveling wave or wide moving jam in the CHO model. Indeed, the numerical simulation based on the semi-discrete model verifies these properties and especially indicates that the simulated wide moving jams converge to the analytical solution for sufficiently refined division of traffic flow.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2021.126684