Citation

Carlini E, Festa A, Silva FJ. IFAC-PapersOnLine 2017; 50(1): 1655-1660.

Copyright

(Copyright © 2017, International Federation of Automatic Control, Publisher Elsevier Publishing)

DOI

10.1016/j.ifacol.2017.08.333

PMID

unavailable

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.

Language: en

Keywords

behavioral sciences; characteristic curves; dynamic modelling; numerical simulations; Partial differential equations; social