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The Lagrangian coordinate system and what it means for two-dimensional crowd flow models

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  • van Wageningen-Kessels, Femke
  • Leclercq, Ludovic
  • Daamen, Winnie
  • Hoogendoorn, Serge P.

Abstract

A continuum crowd flow model is solved using the Lagrangian coordinate system. The system has proven to give computational advantages over the traditional Eulerian coordinate system for (one-dimensional) road traffic flow. Our extension of the model and simulation method to (two-dimensional) crowd flow paves the way to explore the advantages for crowd flow simulation. Detailed analysis of the advantages is left for future research. However, this paper provides a first exploration and shows that a model and simulation method for two-dimensional crowd flow can be developed using Lagrangian numerical techniques and that it leads to accurate simulation results.

Suggested Citation

  • van Wageningen-Kessels, Femke & Leclercq, Ludovic & Daamen, Winnie & Hoogendoorn, Serge P., 2016. "The Lagrangian coordinate system and what it means for two-dimensional crowd flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 272-285.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:272-285
    DOI: 10.1016/j.physa.2015.09.048
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    References listed on IDEAS

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