An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model

Yinhua Xia, S. C. Wong, Mengping Zhang, Chi Wang Shu, Hing Keung William Lam

Research output: Journal article publicationJournal articleAcademic researchpeer-review

43 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)337-350
Number of pages14
JournalInternational Journal for Numerical Methods in Engineering
Volume76
Issue number3
DOIs
Publication statusPublished - 15 Oct 2008

Keywords

  • Continuum modeling
  • Discontinuous Galerkin method
  • Fast sweeping method
  • Pedestrian flow
  • Reactive dynamic user equilibrium
  • Triangular mesh
  • WENO scheme

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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