Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31048
Title: An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model
Authors: Xia, Y 
Wong, SC
Zhang, M
Shu, CW
Lam, WHK 
Keywords: Continuum modeling
Discontinuous Galerkin method
Fast sweeping method
Pedestrian flow
Reactive dynamic user equilibrium
Triangular mesh
WENO scheme
Issue Date: 2008
Source: International journal for numerical methods in engineering, 2008, v. 76, no. 3, p. 337-350 How to cite?
Journal: International Journal for Numerical Methods in Engineering 
Abstract: In this paper, we develop a discontinuous Galerkin method on triangular meshes to solve the reactive dynamic user equilibrium model for pedestrian flows. The pedestrian density in this model is governed by the conservation law in which the flow flux is implicitly dependent on the density through the Eikonal equation. To solve the Eikonal equation efficiently at each time level, we use the fast sweeping method. Two numerical examples are then used to demonstrate the effectiveness of the algorithm.
URI: http://hdl.handle.net/10397/31048
ISSN: 0029-5981
DOI: 10.1002/nme.2329
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