High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows
In this article, the authors present a high-order weighted essentially non-oscillatory (WENO) scheme, coupled with a high-order fast sweeping method, for solving a dynamic continuum model for bi-directional pedestrian flows. The dynamic continuum model for bi-directional pedestrian flows is reviewed first, which is composed of a coupled system of a conservation law and an Eikonal equation. Next, the authors present the first-order Lax–Friedrichs difference scheme with first-order Euler forward time discretization, the third-order WENO scheme with third-order total variation diminishing (TVD) Runge–Kutta time discretization, and the fast sweeping method, and demonstrate how to apply them to the model under study. A comparison of the numerical results of the model from the first-order and high-order methods is provided, and it is concluded that the high-order method is more efficient than the first-order one, and they both converge to the same solution of the physical model.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/10939687
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Authors:
- Xiong, Tao
- Zhang, Mengping
- Shu, Chi-Wang
- Wong, S C
- Zhang, Peng
- Publication Date: 2011-5
Language
- English
Media Info
- Media Type: Print
- Features: Figures; References; Tables;
- Pagination: pp 298-310
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Serial:
- Computer-Aided Civil and Infrastructure Engineering
- Volume: 26
- Issue Number: 4
- Publisher: Blackwell Publishing
- ISSN: 1093-9687
- Serial URL: http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8667
Subject/Index Terms
- TRT Terms: Equilibrium (Systems); Macroscopic traffic flow; Pedestrian flow; Pedestrians; Route choice; Traffic models
- Subject Areas: Operations and Traffic Management; Pedestrians and Bicyclists; I71: Traffic Theory;
Filing Info
- Accession Number: 01337010
- Record Type: Publication
- Files: TRIS
- Created Date: Apr 18 2011 12:24PM