@article{ref1,
title="The Hughes model for pedestrian dynamics and congestion modelling",
journal="IFAC-PapersOnLine",
year="2017",
author="Carlini, Elisabetta and Festa, Adriano and Silva, Francisco J.",
volume="50",
number="1",
pages="1655-1660",
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.<p /> <p>Language: en</p>",
language="en",
issn="2405-8963",
doi="10.1016/j.ifacol.2017.08.333",
url="http://dx.doi.org/10.1016/j.ifacol.2017.08.333"
}