A numerical scheme for moving bottlenecks in traffic flow - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society Année : 2016

A numerical scheme for moving bottlenecks in traffic flow

Résumé

We consider a strongly coupled PDE-ODE system that describes the moving bottlenecks created by several buses on a road. The model consists of a scalar conservation law modeling the main traffic evolution and a series of ODEs accounting for the trajectories of the buses, which depend on the surrounding traffic density. The moving bottlenecks are expressed by inequality constraints on the flux. We generalize a conservative finite volume scheme for the constrained hyperbolic PDE using a reconstruction technique and a tracking algorithm for the ODEs. Numerical simulations illustrate the impact of the buses on traffic flow. This is joint work with C. Chalons (Université of Versailles Saint-Quentin, France).
Fichier principal
Vignette du fichier
ProceedingHYP.pdf (426.3 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01402618 , version 1 (24-11-2016)

Identifiants

Citer

Maria Laura Delle Monache, Paola Goatin. A numerical scheme for moving bottlenecks in traffic flow. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, 2016, 47 (2), pp.605-617. ⟨10.1007/s00574-016-0172-8⟩. ⟨hal-01402618⟩
162 Consultations
132 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More