Numerical simulation of pedestrian flow past a circular obstruction
Y.Q. Jiang1,R.X. Liu2,Y.L. Duan2
1. Department of Mathematics, Southwest University of Science and Technology, 621010 Mianyang, China 2. Department of Mathematics, University of Science and Technology of China, 230026 Hefei, China
Abstract In this paper, a revisiting Hughes' dynamic continuum model is
used to investigate and predict the essential macroscopic
characteristics of pedestrian flow, such as flow, density and
average speed, in a two dimensional continuous walking facility
scattered with a circular obstruction. It is assumed that
pedestrians prefer to walk a path with the lowest instantaneous
travel cost from origin to destination, under the consideration of
the current traffic conditions and the tendency to avoid a
high-density region and an obstruction. An algorithm for the
pedestrian flow model is based on a cell-centered finite volume
method for a scalar conservation law equation, a fast sweeping
method for an Eikonal-type equation and a second-order TVD
Runge-Kutta method for the time integration on unstructured
meshes. Numerical results demonstrate the effectiveness of the
algorithm. It is verified that density distribution of pedestrian
flow is influenced by the position of the obstruction and the
path-choice behavior of pedestrians.
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