A coupled PDE-ODE model for bounded acceleration in macroscopic traffic flow models

Abstract : In this paper, we propose a new mathematical model accounting for the boundedness of traffic acceleration at a macroscopic scale. Our model is built on a first order macroscopic PDE model coupled with an ODE describing the trajectory of the leader of a platoon accelerating at a given constant rate. We use Wave Front Tracking techniques to construct approximate solutions to the Initial Value Problem. We present some numerical examples including the case of successive traffic signals on an arterial road and we compare the solution to our model with the solution given by the classical LWR equation in order to evaluate the impact of bounded acceleration.
Type de document :
Pré-publication, Document de travail
2018
Liste complète des métadonnées

https://hal.inria.fr/hal-01636156
Contributeur : Guillaume Costeseque <>
Soumis le : mercredi 4 juillet 2018 - 11:26:49
Dernière modification le : mercredi 10 octobre 2018 - 10:08:49
Document(s) archivé(s) le : lundi 1 octobre 2018 - 10:37:15

Fichier

Laurent-Brouty-Costeseque-Goat...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01636156, version 4

Citation

Nicolas Laurent-Brouty, Guillaume Costeseque, Paola Goatin. A coupled PDE-ODE model for bounded acceleration in macroscopic traffic flow models. 2018. 〈hal-01636156v4〉

Partager

Métriques

Consultations de la notice

106

Téléchargements de fichiers

23