Skip to Main content Skip to Navigation
Journal articles

A macroscopic traffic flow model accounting for bounded acceleration

Abstract : This paper details a new macroscopic traffic flow model accounting for the boundedness of traffic acceleration, which is required for physical realism. Our approach relies on the coupling between a scalar conservation law, which refers to the seminal LWR model, and a system of Ordinary Differential Equations describing the trajectory of accelerating vehicles, which we treat as moving constraints. We propose a Wave Front Tracking Algorithm to construct approximate solutions. We use this algorithm to prove the existence of solutions to the associated Cauchy Problem, and provide some numerical examples illustrating the solution behaviour.
Document type :
Journal articles
Complete list of metadata
Contributor : Nicolas Laurent-Brouty Connect in order to contact the contributor
Submitted on : Thursday, November 26, 2020 - 4:41:43 PM
Last modification on : Friday, January 21, 2022 - 10:32:22 AM


Files produced by the author(s)


  • HAL Id : hal-02155131, version 4


Nicolas Laurent-Brouty, Guillaume Costeseque, Paola Goatin. A macroscopic traffic flow model accounting for bounded acceleration. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, In press. ⟨hal-02155131v4⟩



Les métriques sont temporairement indisponibles