Fundamental diagrams for pedestrian flows in a channel via an extended social force model  

作　　者：Yan-fang Wei Dong-kai Lan Li-yun Dong 韦艳芳;蓝冬恺;董力耘(Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China;College of Physical Science and Technology,Yulin Normal University,Yulin 537000,China;Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai 200072,China)

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China [2]College of Physical Science and Technology, Yulin Normal University, Yulin 537000, China [3]Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China

出　　处：《Journal of Hydrodynamics》2018年第5期950-957,共8页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11572184,11562020 and 11172164);the National Basic Research Development Program of China(973 Program,Grant No.2012CB725404)

摘　　要：In this paper, an extended social force model was applied to investigate fundamental diagrams of pedestrian flows. In the presented model, both the static floor field and the view field were taken into account. Then each pedestrian can determine his/her desired walking directions according to both global and local information. The fundamental diagrams were obtained numerically under periodic boundary condition. It was found that the fundamental diagrams show good agreement with the measured data in the case of unidirectional flow, especially in the medium density range. However, the fundamental diagram for the case of bidirectional flow gave larger values than the measured data. Furthermore, the bidirectional flux is larger than the tmidirectional flux in a certain density range. It is indicated that the bidirectional flow may be more efficient than the unidirectional flow in some cases. The process of lane formation is quite quick in the model. Typical flow patterns in three scenarios were given to show some realistic applications.In this paper, an extended social force model was applied to investigate fundamental diagrams of pedestrian flows. In the presented model, both the static floor field and the view field were taken into account. Then each pedestrian can determine his/her desired walking directions according to both global and local information. The fundamental diagrams were obtained numerically under periodic boundary condition. It was found that the fundamental diagrams show good agreement with the measured data in the case of unidirectional flow, especially in the medium density range. However, the fundamental diagram for the case of bidirectional flow gave larger values than the measured data. Furthermore, the bidirectional flux is larger than the tmidirectional flux in a certain density range. It is indicated that the bidirectional flow may be more efficient than the unidirectional flow in some cases. The process of lane formation is quite quick in the model. Typical flow patterns in three scenarios were given to show some realistic applications.

关 键 词：Pedestrian flow social force model view field floor field fundamental diagram 

分 类 号：O368[理学—流体力学]