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

Author

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

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.

Suggested Citation

  • Meng, Y.C. & Lin, Z.Y. & Li, X.Y. & Qiao, D.L. & Guo, M.M. & Zhang, P., 2022. "A semi-discrete model of traffic flow in correspondence with a continuum model under Lagrange coordinate system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    • Handle: RePEc:eee:phsmap:v:590:y:2022:i:c:s0378437121009146
    DOI: 10.1016/j.physa.2021.126684
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    References listed on IDEAS

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