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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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https://hal.archives-ouvertes.fr/hal-01413613
Contributor : Magali Ribot <>
Submitted on : Monday, December 12, 2016 - 4:02:52 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:59 PM
Document(s) archivé(s) le : Monday, March 27, 2017 - 3:21:13 PM

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  • HAL Id : hal-01413613, version 1
  • ARXIV : 1612.03737

Citation

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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