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

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.
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Article dans une revue
Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2017, 12 (4)
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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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  • HAL Id : hal-01413613, version 1
  • ARXIV : 1612.03737

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Florent Berthelin, Thierry Goudon, Bastien Polizzi, Magali Ribot. Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2017, 12 (4). 〈hal-01413613〉

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