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A Lattice Hydrodynamic Model for Four-Way Pedestrian Traffic with Turning Capacity

Author

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  • Yuan Tang

    (Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China)

  • Yu Xue

    (Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China)

  • Muyang Huang

    (Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China)

  • Qiyun Wen

    (Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China)

  • Bingling Cen

    (Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China)

  • Dong Chen

    (College of Management Science and Engineering, Guangxi University of Finance and Economics, Nanning 530004, China)

Abstract

In this paper, a lattice hydrodynamic model of four-way pedestrian traffic considering turning capacity is proposed. The stability conditions are obtained by stability analysis. The mKdV equation is derived using the reductive perturbation method of nonlinear analysis, and the corresponding density wave solutions are obtained. The results of theoretical analysis are verified by detailed numerical simulation of the spatial-temporal patterns of the density of pedestrian flow evolution under different initial conditions and the density profile at different moments. The results show that the balanced distribution of pedestrian flow along the horizontal and vertical passages can promote the stability of pedestrian traffic, and pedestrians turning at the intersections can stimulate traffic jams.

Suggested Citation

  • Yuan Tang & Yu Xue & Muyang Huang & Qiyun Wen & Bingling Cen & Dong Chen, 2023. "A Lattice Hydrodynamic Model for Four-Way Pedestrian Traffic with Turning Capacity," Sustainability, MDPI, vol. 15(3), pages 1-17, January.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:3:p:2544-:d:1052589
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    References listed on IDEAS

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    1. Cheng-Jie Jin & Ke-Da Shi & Shu-Yi Fang, 2023. "Simulation of Single-File Pedestrian Flow under High-Density Condition by a Modified Social Force Model," Sustainability, MDPI, vol. 15(11), pages 1-15, May.

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