The Hughes model for pedestrian dynamics and congestion modelling
Numerical Analysis
2016-11-22 v1
Abstract
In this paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a coupled non-linear PDE system involving an eikonal equation and a first order conservation law, and it intends to approximate the flow of a large pedestrian group aiming to reach a target as fast as possible, while taking into account the congestion of the crowd. We propose an efficient semi-Lagrangian scheme (SL) to approximate the solution of the PDE system and we investigate the macroscopic effects of different penalization functions modelling the congestion phenomena.
Keywords
Cite
@article{arxiv.1611.06848,
title = {The Hughes model for pedestrian dynamics and congestion modelling},
author = {Elisabetta Carlini and Adriano Festa and Francisco J. Silva},
journal= {arXiv preprint arXiv:1611.06848},
year = {2016}
}
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6 pages