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

A continuum crowd flow model is reformulated in 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) crow...

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Bibliographic Details
Published inarXiv.org
Main Authors Femke van Wageningen-Kessels, Leclercq, Ludovic, Daamen, Winnie, Hoogendoorn, Serge P
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.11.2014
Subjects
Computer simulation
Lagrange coordinates
Traffic flow
Two dimensional flow
Two dimensional models
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Summary:A continuum crowd flow model is reformulated in 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 whether the advantages also hold in two dimensions. This paper provides a first exploration and shows that a model and simulation method for two-dimensional crowd flow can be developed in the Lagrangian coordinate system and that is leads to promising results.
ISSN:2331-8422