IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v467y2017icp85-95.html
   My bibliography  Save this article

Cellular automaton simulation of unidirectional pedestrians flow in a corridor to reproduce the unique velocity profile of Hagen–Poiseuille flow

Author

Listed:
  • Kaji, Masaru
  • Inohara, Takehiro

Abstract

In this study, we conduct simulations and compare results with experimental ones from previous work. It was reported that the velocity profile of pedestrians in a corridor had similar characteristics to that of an incompressible and Newtonian fluid in laminar flow, which is called Hagen–Poiseuille flow. To reproduce this pedestrian dynamics phenomenon, we hypothesized that the velocity profile is formed because of the intentions of pedestrians. We used the improved cellular automaton model integrating the multi-grid method and static floor field method to consider various rules regarding the characteristics of pedestrians, space, and algorithms. Simulation results show excellent agreement with results from previous study.

Suggested Citation

  • Kaji, Masaru & Inohara, Takehiro, 2017. "Cellular automaton simulation of unidirectional pedestrians flow in a corridor to reproduce the unique velocity profile of Hagen–Poiseuille flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 85-95.
    • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:85-95
    DOI: 10.1016/j.physa.2016.09.062
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116306872
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2016.09.062?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.

    References listed on IDEAS

    as
    1. Guo, Wei & Wang, Xiaolu & Liu, Mengting & Cheng, Yuan & Zheng, Xiaoping, 2015. "Modification of the dynamic floor field model by the heterogeneous bosons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 358-366.
    2. Kirchner, Ansgar & Klüpfel, Hubert & Nishinari, Katsuhiro & Schadschneider, Andreas & Schreckenberg, Michael, 2003. "Simulation of competitive egress behavior: comparison with aircraft evacuation data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(3), pages 689-697.
    3. von Sivers, Isabella & Köster, Gerta, 2015. "Dynamic stride length adaptation according to utility and personal space," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 104-117.
    4. Song, Weiguo & Xu, Xuan & Wang, Bing-Hong & Ni, Shunjiang, 2006. "Simulation of evacuation processes using a multi-grid model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 492-500.
    5. Zhang, Jun & Song, Weiguo & Xu, Xuan, 2008. "Experiment and multi-grid modeling of evacuation from a classroom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5901-5909.
    6. Ji, Xiangfeng & Zhou, Xuemei & Ran, Bin, 2013. "A cell-based study on pedestrian acceleration and overtaking in a transfer station corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1828-1839.
    7. Suma, Yushi & Yanagisawa, Daichi & Nishinari, Katsuhiro, 2012. "Anticipation effect in pedestrian dynamics: Modeling and experiments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 248-263.
    8. Weng, W.G. & Pan, L.L. & Shen, S.F. & Yuan, H.Y., 2007. "Small-grid analysis of discrete model for evacuation from a hall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 821-826.
    9. Zhang, X.L. & Weng, W.G. & Yuan, H.Y. & Chen, J.G., 2013. "Empirical study of a unidirectional dense crowd during a real mass event," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(12), pages 2781-2791.
    10. Burstedde, C & Klauck, K & Schadschneider, A & Zittartz, J, 2001. "Simulation of pedestrian dynamics using a two-dimensional cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 507-525.
    11. Fang, Zhiming & Song, Weiguo & Zhang, Jun & Wu, Hao, 2010. "Experiment and modeling of exit-selecting behaviors during a building evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 815-824.
    12. Yamamoto, Kazuhiro & Kokubo, Satoshi & Nishinari, Katsuhiro, 2007. "Simulation for pedestrian dynamics by real-coded cellular automata (RCA)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 654-660.
    13. Kirchner, Ansgar & Schadschneider, Andreas, 2002. "Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 260-276.
    14. Fu, Zhijian & Zhou, Xiaodong & Zhu, Kongjin & Chen, Yanqiu & Zhuang, Yifan & Hu, Yuqi & Yang, Lizhong & Chen, Changkun & Li, Jian, 2015. "A floor field cellular automaton for crowd evacuation considering different walking abilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 294-303.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Can Liao & Kejun Zhu & Haixiang Guo & Jian Tang, 2019. "Simulation Research on Safe Flow Rate of Bidirectional Crowds Using Bayesian-Nash Equilibrium," Complexity, Hindawi, vol. 2019, pages 1-15, January.
    2. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fang, Zhi-Ming & Song, Wei-Guo & Liu, Xuan & Lv, Wei & Ma, Jian & Xiao, Xia, 2012. "A continuous distance model (CDM) for the single-file pedestrian movement considering step frequency and length," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 307-316.
    2. Huang, Rong & Zhao, Xuan & Zhou, Chenyu & Kong, Lingchen & Liu, Chengqing & Yu, Qiang, 2022. "Static floor field construction and fine discrete cellular automaton model: Algorithms, simulations and insights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    3. Cao, Shuchao & Song, Weiguo & Lv, Wei & Fang, Zhiming, 2015. "A multi-grid model for pedestrian evacuation in a room without visibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 45-61.
    4. Lovreglio, Ruggiero & Ronchi, Enrico & Nilsson, Daniel, 2015. "Calibrating floor field cellular automaton models for pedestrian dynamics by using likelihood function optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 308-320.
    5. Feliciani, Claudio & Nishinari, Katsuhiro, 2016. "An improved Cellular Automata model to simulate the behavior of high density crowd and validation by experimental data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 135-148.
    6. Yue, Hao & Guan, Hongzhi & Zhang, Juan & Shao, Chunfu, 2010. "Study on bi-direction pedestrian flow using cellular automata simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 527-539.
    7. Abdelghany, Ahmed & Abdelghany, Khaled & Mahmassani, Hani, 2016. "A hybrid simulation-assignment modeling framework for crowd dynamics in large-scale pedestrian facilities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 86(C), pages 159-176.
    8. Guo, Ren-Yong, 2014. "New insights into discretization effects in cellular automata models for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 1-11.
    9. Li, Yang & Chen, Maoyin & Zheng, Xiaoping & Dou, Zhan & Cheng, Yuan, 2020. "Relationship between behavior aggressiveness and pedestrian dynamics using behavior-based cellular automata model," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    10. Fang, Shuyi & Jin, Cheng-Jie & Jiang, Rui & Li, Dawei, 2024. "Simulating the bi-directional pedestrian flow under high densities by a floor field cellular automaton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    11. Zhao, Ruifeng & Zhai, Yue & Qu, Lu & Wang, Ruhao & Huang, Yaoying & Dong, Qi, 2021. "A continuous floor field cellular automata model with interaction area for crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    12. Fang, Zhi-Ming & Lv, Wei & Jiang, Li-Xue & Xu, Qing-Feng & Song, Wei-Guo, 2016. "Modeling and assessment of civil aircraft evacuation based on finer-grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 102-112.
    13. Zheng, Ying & Jia, Bin & Li, Xin-Gang & Zhu, Nuo, 2011. "Evacuation dynamics with fire spreading based on cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3147-3156.
    14. Liu, Xuan & Song, Weiguo & Zhang, Jun, 2009. "Extraction and quantitative analysis of microscopic evacuation characteristics based on digital image processing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2717-2726.
    15. Fu, Zhijian & Zhou, Xiaodong & Zhu, Kongjin & Chen, Yanqiu & Zhuang, Yifan & Hu, Yuqi & Yang, Lizhong & Chen, Changkun & Li, Jian, 2015. "A floor field cellular automaton for crowd evacuation considering different walking abilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 294-303.
    16. Lei, Wenjun & Li, Angui & Gao, Ran & Zhou, Ning & Mei, Sen & Tian, Zhenguo, 2012. "Experimental study and numerical simulation of evacuation from a dormitory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5189-5196.
    17. Zhou, Xuemei & Hu, Jingjie & Ji, Xiangfeng & Xiao, Xiongziyan, 2019. "Cellular automaton simulation of pedestrian flow considering vision and multi-velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 982-992.
    18. Gao, Jin & Zhang, Jingjing & He, Jun & Gong, Jinghai & Zhao, Jincheng, 2020. "Experiment and simulation of pedestrian’s behaviors during evacuation in an office," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    19. Srinivasan, Aravinda Ramakrishnan & Karan, Farshad Salimi Naneh & Chakraborty, Subhadeep, 2017. "Pedestrian dynamics with explicit sharing of exit choice during egress through a long corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 770-782.
    20. Guo, Ren-Yong & Huang, Hai-Jun & Wong, S.C., 2012. "Route choice in pedestrian evacuation under conditions of good and zero visibility: Experimental and simulation results," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 669-686.

    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:eee:phsmap:v:467:y:2017:i:c:p:85-95. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.