Self-organized phenomena of pedestrian counterflow through a wide bottleneck in a channel*

The pedestrian counterflow through a bottleneck in a channel shows a variety of flow patterns due to self-organization. In order to reveal the underlying mechanism, a cellular automaton model was proposed by incorporating the floor field and the view field which reflects the global information of the studied area and local interactions with others. The presented model can well reproduce typical collective behaviors, such as lane formation. Numerical simulations were performed in the case of a wide bottleneck and typical flow patterns at different density ranges were identified as rarefied flow, laminar flow, interrupted bidirectional flow, oscillatory flow, intermittent flow, and choked flow. The effects of several parameters, such as the size of view field and the width of opening, on the bottleneck flow are also analyzed in detail. The view field plays a vital role in reproducing self-organized phenomena of pedestrian. Numerical results showed that the presented model can capture key characteristics of bottleneck flows.

[1]  José Rogan,et al.  Cellular automaton model for evacuation process with obstacles , 2007 .

[2]  Juan Zhang,et al.  Study on bi-direction pedestrian flow using cellular automata simulation , 2010 .

[3]  Xiang Li,et al.  Modeling and Simulation of Pedestrian Counter Flow on a Crosswalk , 2012 .

[4]  Helbing,et al.  Social force model for pedestrian dynamics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  Lubos Buzna,et al.  Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions , 2005, Transp. Sci..

[6]  W. Weng,et al.  Cellular automaton simulation of pedestrian counter flow with different walk velocities. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  R. Alizadeh,et al.  A dynamic cellular automaton model for evacuation process with obstacles , 2011 .

[8]  Bing-Hong Wang,et al.  Simulation of evacuation processes using a multi-grid model for pedestrian dynamics , 2006 .

[9]  Sze Chun Wong,et al.  A macroscopic approach to the lane formation phenomenon in pedestrian counterflow , 2011 .

[10]  Xingli Li,et al.  Analysis of pedestrian dynamics in counter flow via an extended lattice gas model. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  T. Nagatani,et al.  Scaling of pedestrian channel flow with a bottleneck , 2001 .

[12]  Li Jian,et al.  Simulation of bi-direction pedestrian movement in corridor , 2005 .

[13]  S. Dai,et al.  Centrifugal force model for pedestrian dynamics. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  A. Schadschneider,et al.  Simulation of pedestrian dynamics using a two dimensional cellular automaton , 2001 .

[15]  Takashi Nagatani,et al.  Pattern formation and jamming transition in pedestrian counter flow , 2002 .

[16]  T. Nagatani,et al.  Jamming transition in pedestrian counter flow , 1999 .

[17]  S. Wong,et al.  Potential field cellular automata model for pedestrian flow. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Shaobo Liu,et al.  Evacuation from a classroom considering the occupant density around exits , 2009 .

[19]  Andreas Schadschneider,et al.  Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics , 2002 .

[20]  D. Helbing Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[21]  Wenjian Yu,et al.  Modeling crowd turbulence by many-particle simulations. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  Hai-Jun Huang,et al.  Static floor field and exit choice for pedestrian evacuation in rooms with internal obstacles and multiple exits. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Ren-Yong Guo,et al.  Simulation of spatial and temporal separation of pedestrian counter flow through a bottleneck , 2014 .

[24]  Xue Yu,et al.  Influence of the exits’ configuration on evacuation process in a room without obstacle , 2015 .