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

Y.C. Meng, Z.Y. Lin, X.Y. Li, D.L. Qiao, M.M. Guo and P. Zhang

Physica A: Statistical Mechanics and its Applications, 2022, vol. 590, issue C

Abstract: 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.

Keywords: Car-following model; CHO model; Physically bounded solution; Wide moving jam; Conservative system (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:590:y:2022:i:c:s0378437121009146

DOI: 10.1016/j.physa.2021.126684

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