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High-resolution central-upwind scheme for second-order macroscopic traffic flow models

Author

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  • Jianzhong Chen

    (School of Automation, Northwestern Polytechnical University, Xi’an 710072, P. R. China)

  • Ronghui Liu

    (#x2020;Institute for Transport Studies, University of Leeds, Leeds LS2 9JT, UK)

  • Yanmei Hu

    (#x2021;School of Science, Chang’an University, Xi’an, Shaanxi 710064, P. R. China)

Abstract

Traffic flow models are important tools for traffic management applications such as traffic incident detection and traffic control. In this paper, we propose a novel numerical approximation method for second-order macroscopic traffic flow models. The method is based on the semi-discrete central-upwind numerical flux and high-order reconstructions for spatial discretizations. We then apply the designed high-resolution schemes to three representative types of second-order traffic flow models and perform a variety of numerical experiments to validate the proposed methods. The simulation results illustrate the effectiveness, simplicity and universality of the central-upwind scheme as numerical approximation method for macroscopic traffic flow models.

Suggested Citation

  • Jianzhong Chen & Ronghui Liu & Yanmei Hu, 2020. "High-resolution central-upwind scheme for second-order macroscopic traffic flow models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-19, July.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:07:n:s0129183120500977
    DOI: 10.1142/S0129183120500977
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    Cited by:

    1. Yang, Qiaoli & Fu, Xue, 2024. "An extended queueing model for vehicles at signalized intersections considering the platoon correlated arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).

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