%0 Journal Article
%T The Lagrangian coordinate system and what it means for two-dimensional crowd flow models
%A Femke van Wageningen-Kessels
%A Ludovic Leclercq
%A Winnie Daamen
%A Serge P. Hoogendoorn
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1412.0206v1