IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v31y2020i02ns012918312050031x.html
   My bibliography  Save this article

A new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect

Author

Listed:
  • Cong Zhai

    (School of Transportation and Civil Engineering and Architecture, Foshan University, Foshan 528000, Guangdong, P. R. China†School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, Guangdong, P. R. China)

  • Weitiao Wu

    (#x2020;School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, Guangdong, P. R. China)

Abstract

Understanding the pedestrian behavior contributes to traffic simulation and facility design/redesign. In practice, the interactions between individual pedestrians can lead to virtual honk effect, such as urging surrounding pedestrians to walk faster in a crowded environment. To better reflect the reality, this paper proposes a new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect. To this end, the concept of critical density is introduced to define the occurrence of pedestrians’ honk event. In the linear stability analysis, the stability condition of the new bidirectional pedestrian flow model is given based on the perturbation method, and the neutral stability curve is also obtained. Based on this, it is found that the honk effect has a significant impact on the stability of pedestrian flow. In the nonlinear stability analysis, the modified Korteweg–de Vries (mKdV) equation of the model is obtained based on the reductive perturbation method. By solving the mKdV equation, the kink-antikink soliton wave is obtained to describe the propagation mechanism and rules of pedestrian congestion near the neutral stability curve. The simulation example shows that the pedestrians’ honk effect can mitigate the pedestrians crowding efficiently and improve the stability of the bidirectional pedestrian flow.

Suggested Citation

  • Cong Zhai & Weitiao Wu, 2020. "A new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-16, February.
  • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:02:n:s012918312050031x
    DOI: 10.1142/S012918312050031X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S012918312050031X
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S012918312050031X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Luo, Qiang & Zhang, Yusong, 2022. "Modeling bidirectional pedestrian flow with the perceived uncertainty of preceding pedestrian information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    2. Zhou, Jibiao & Chen, Siyuan & Ma, Changxi & Dong, Sheng, 2022. "Stability analysis of pedestrian traffic flow in horizontal channels: A numerical simulation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Rangel-Galván, Maricruz & Ballinas-Hernández, Ana L. & Rangel-Galván, Violeta, 2024. "Thermo-inspired model of self-propelled hard disk agents for heterogeneous bidirectional pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:02:n:s012918312050031x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.