14 citations · 35 across the 16 of their papers we have counts for
4 papers · 1 filter
The Hughes model for pedestrian dynamics and congestion modelling
Elisabetta Carlini, Adriano Festa, Francisco J. Silva
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 c…
Kinetic description of collision avoidance in pedestrian crowds by sidestepping
Adriano Festa, Andrea Tosin, Marie-Therese Wolfram
In this paper we study a kinetic model for pedestrians, who are assumed to adapt their motion towards a desired direction while avoiding collisions with others by stepping aside. T…
A discrete Hughes' model for pedestrian flow on graphs
Fabio Camilli, Adriano Festa, Silvia Tozza
In this paper, we introduce a discrete time-finite state model for pedestrian flow on a graph in the spirit of the Hughes dynamic continuum model. The pedestrians, represented by a…
A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow
Elisabetta Carlini, Adriano Festa, Francisco J. Silva +1
In this paper we present a Semi-Lagrangian scheme for a regularized version of the Hughes model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system descr…