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

Florent Berthelin; Thierry Goudon; Bastien Polizzi; Magali Ribot

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arXiv · 1612.03737

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

Florent Berthelin·Thierry Goudon·Bastien Polizzi·Magali Ribot

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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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Florent Berthelin, Thierry Goudon, Bastien Polizzi, Magali Ribot. 2016-12-12. Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams. https://arxiv.org/abs/1612.03737

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