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

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

Physica A: Statistical Mechanics and its Applications, 2016, vol. 443, issue C, 272-285

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.

Keywords: Crowd flow; Crowd flow simulation; Numerical method; Lagrangian coordinates; Moving coordinates (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:443:y:2016:i:c:p:272-285

DOI: 10.1016/j.physa.2015.09.048

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