Self-organized phenomena of pedestrian counter flow in a channel under periodic boundary conditions |
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| Authors: | Li Xiang Duan Xiao-Yin Dong Li-Yun |
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| Affiliation: | a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;b Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China |
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| Abstract: | In this paper we investigate self-organized phenomena such as lane formation generated by pedestrian counter flow in a channel. The lattice gas model is extended to take the effect of walkers in the opposite direction into account simultaneously when they are in the view field of a walker, i.e., walkers tend to follow the leaders in the same direction and avoid conflicts with those walking towards them. The improved model is then used to mimic pedestrian counter flow in a channel under periodic boundary conditions. Numerical simulations show that lane formation is well reproduced, and this process is rather rapid which coincides with real pedestrian traffic. The average velocity and critical density are found to increase to some degree with the consideration of view field. |
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| Keywords: | counter flow lattice gas model view field lane formation |
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