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Numerical simulation of a continuum model for bi-directional pedestrian flow |
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| Authors: | Yanqun Jiang Peng Zhang |
| Institution: | a Department of Mathematics, Southwest University of Science and Technology, Mianyang, Sichuan, China b Department of Civil Engineering, The University of Hong Kong, Hong Kong, China c Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China d Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, China e Department of Transportation Engineering, TOD-based Sustainable Urban Transportation Center, Ajou University, Republic of Korea |
| Abstract: | An algorithm for an extended reactive dynamic user equilibrium model of pedestrian counterflow as a continuum is developed. It is based on a cell-centered high-resolution finite volume scheme with a fast sweeping method for an Eikonal-type equation on an orthogonal grid. A high-order total variation diminishing Runge-Kutta method is adopted for the time integration of semi-discrete equations. The numerical results demonstrate the rationality of the model and efficiency of the algorithm. Some crowd pedestrian flow phenomena, such as dynamic lane formation in bi-directional flow, are observed which are helpful for a global comprehension of pedestrian dynamics. Also, the model can be utilized with different potential applications. |
| Keywords: | Pedestrian counterflow Continuum model Reactive dynamic user equilibrium Eikonal-type equation Finite volume scheme Fast sweeping method |
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