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

DOI10.1016/j.physa.2015.09.048zbMath1400.90144arXiv1412.0206OpenAlexW2099851870WikidataQ114384886 ScholiaQ114384886MaRDI QIDQ1618976

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

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0206

zbMATH Keywords

numerical methodLagrangian coordinatesmoving coordinatescrowd flowcrowd flow simulation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Cites Work

• Numerical simulation of a continuum model for bi-directional pedestrian flow
• On the numerical solutions of second order macroscopic models of pedestrian flows
• Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
• MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT
• FROM CROWD DYNAMICS TO CROWD SAFETY: A VIDEO-BASED ANALYSIS
• On the Partial Difference Equations of Mathematical Physics