Particle methods for multi-group pedestrian flow
Physics and Society
2017-05-18 v2 Numerical Analysis
Abstract
We consider a multi-group microscopic model for pedestrian flow describing the behaviour of large groups. It is based on an interacting particle system coupled to an eikonal equation. Hydrodynamic multi-group models are derived from the underlying particle system as well as scalar multi-group models. The eikonal equation is used to compute optimal paths for the pedestrians. Particle methods are used to solve the equations on all levels of the hierarchy. Numerical test cases are investigated and the models and, in particular, the resulting evacuation times are compared for a wide range of different parameters.
Cite
@article{arxiv.1607.02326,
title = {Particle methods for multi-group pedestrian flow},
author = {Naveen K. Mahato and Axel Klar and Sudarshan Tiwari},
journal= {arXiv preprint arXiv:1607.02326},
year = {2017}
}