A second order model of road junctions in fluid models of traffic networks

Bertrand Haut; Georges Bastin

doi:10.3934/nhm.2007.2.227

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2007, Volume 2, Issue 2: 227-253. Doi: 10.3934/nhm.2007.2.227

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A second order model of road junctions in fluid models of traffic networks

Bertrand Haut^1, and
Georges Bastin^2,

1.
CESAME, Avenue G. Lemaître, 4, 1348 Louvain-la-Neuve
2.
Center for Systems Engineering and Applied Mechanics (CESAME), Department of Mathematical Engineering, Université catholique de Louvain, 4, Avenue G. Lemaître, 1348 Louvain-la-Neuve

Received: July 2006

Revised: January 2007

Published: June 2007

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Abstract

This article deals with the modeling of junctions in a road network from a macroscopic point of view. After reviewing the Aw & Rascle second order model, a compatible junction model is proposed. The properties of this model and particularly the stability are analyzed. It turns out that this model presents physically acceptable solutions, is able to represent the capacity drop phenomenon and can be used to simulate the traffic evolution on a network.

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Mathematics Subject Classification: Primary: 35L; Secondary: 35L65.

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