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.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/10939687
• 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
• 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