Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams

Florent Berthelin; Thierry Goudon; Bastien Polizzi; Magali Ribot

Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams

Florent Berthelin ^{1, 2} Thierry Goudon ^{1, 2} Bastien Polizzi ³ Magali Ribot ⁴

1 COFFEE - COmplex Flows For Energy and Environment

CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351

2 UCA - Université Côte d'Azur

3 IMFT - Institut de mécanique des fluides de Toulouse

4 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

Abstract : We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic arguments. Hence, we are interested in the simulation of approached models that contain stiff terms and large speeds of propagation. We design schemes intended to apply with relaxed stability conditions.

Keywords : Pressure modeling Traffic modeling Implicit explicit numerical scheme Asymptotic problems Glimm scheme

Type de document :

Article dans une revue

Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2017, 12 (4)

Domaine :

Mathématiques [math] / Analyse numérique [math.NA]

Mathématiques [math] / Equations aux dérivées partielles [math.AP]

Science non linéaire [physics] / Adaptation et Systèmes auto-organisés [nlin.AO]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01413613
Contributeur : Magali Ribot <>
Soumis le : lundi 12 décembre 2016 - 16:02:52
Dernière modification le : jeudi 13 septembre 2018 - 14:20:03
Document(s) archivé(s) le : lundi 27 mars 2017 - 15:21:13

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Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams

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