The Lagrangian coordinate system and what it means for two-dimensional crowd flow models
Numerical Analysis
2014-12-02 v1
Abstract
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.
Cite
@article{arxiv.1412.0206,
title = {The Lagrangian coordinate system and what it means for two-dimensional crowd flow models},
author = {Femke van Wageningen-Kessels and Ludovic Leclercq and Winnie Daamen and Serge P. Hoogendoorn},
journal= {arXiv preprint arXiv:1412.0206},
year = {2014}
}
Comments
15 pages, 10 figures, working paper