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Journal Articles SIAM Journal on Applied Mathematics Year : 2020

A macroscopic traffic flow model accounting for bounded acceleration

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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.
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Dates and versions

hal-02155131 , version 1 (13-06-2019)
hal-02155131 , version 2 (18-12-2019)
hal-02155131 , version 3 (22-02-2020)
hal-02155131 , version 4 (26-11-2020)

Identifiers

  • HAL Id : hal-02155131 , version 4

Cite

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