Citation

Xia Y, Wong SC, Shu CW. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2009; 79(6 Pt 2): 066113.

Affiliation

Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA. yxia@dam.brown.edu

Copyright

(Copyright © 2009, American Physical Society, Publisher American Institute of Physics)

DOI

unavailable

PMID

19658570

Abstract

In this paper, we develop a macroscopic model for pedestrian flow using the dynamic continuum modeling approach. We consider a two-dimensional walking facility that is represented as a continuum within which pedestrians can move freely in any direction. A pedestrian chooses a route based on his or her memory of the shortest path to the desired destination when the facility is empty and, at the same time, tries to avoid high densities. In this model, pedestrian flow is governed by a two-dimensional conservation law, and a general speed-flow-density relationship is considered. The model equation is solved numerically using the discontinuous Galerkin method, and a numerical example is employed to demonstrate both the model and the effectiveness of the numerical method.

Language: en