Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629936 | Applied Mathematics and Computation | 2012 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yanqun Jiang, S.C. Wong, Peng Zhang, Ruxun Liu, Yali Duan, Keechoo Choi,