A coupled PDE-ODE model for bounded acceleration in macroscopic traffic flow models

Abstract : In this paper, we propose a new mathematical model accounting for the boundedness of traffic acceleration at a macroscopic scale. Our model is built on a first order macroscopic PDE model coupled with an ODE describing the trajectory of the leader of a platoon accelerating at a given constant rate. We use Wave Front Tracking techniques to construct approximate solutions to the Initial Value Problem. We present some numerical examples including the case of successive traffic signals on an arterial road and we compare the solution to our model with the solution given by the classical LWR equation in order to evaluate the impact of bounded acceleration.
Type de document :
Pré-publication, Document de travail
2018
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https://hal.inria.fr/hal-01636156
Contributeur : Guillaume Costeseque <>
Soumis le : mercredi 14 février 2018 - 09:56:23
Dernière modification le : jeudi 3 mai 2018 - 13:32:58
Document(s) archivé(s) le : dimanche 6 mai 2018 - 00:11:25

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  • HAL Id : hal-01636156, version 3

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Nicolas Laurent-Brouty, Guillaume Costeseque, Paola Goatin. A coupled PDE-ODE model for bounded acceleration in macroscopic traffic flow models. 2018. 〈hal-01636156v3〉

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