An energy concept for macroscopic traffic flow modelling

European Transport Research Review

Original Paper

Dumitru Popescu¹  Said Hayat²  Abdelaziz Nakrachi³ 

[1] ACPC, University “Politehnica” of Bucharest, No. 313 Splaiul Independentei, District 6, 060042, Bucharest, Romania;IFSTTAR (INRETS), ESTAS, 20, rue Elise Reclus BP 317, 59666, Villeneuve d’Ascq cedex, France;LAGIS, University of Lille 1, Avenue Paul Langevin, 59655, Villeneuve d’Ascq cedex, France;

关键词: Macroscopic traffic flow;    Hyperbolic systems;    Phase transitions;    Non-conservative forms;    Numerical schemes;   

DOI  :  10.1007/s12544-012-0070-0

 received in 2011-01-16, accepted in 2012-01-03,  发布年份 2012

来源: Springer

【 摘 要 】

Introduction The main differences between the deterministic macroscopic models are to be found in pressure expressions and representation of various phases observed experimentally.Methods In this paper, using the laws of fluid dynamics and thermodynamics to describe the traffic flow reality, a new expression of pressure is made and a second order model is proposed.Results It represents different traffic flow phases and, thus, conditions for transition between phases become clear. In addition, our approach suggests solutions to a number of problems yet to be resolved. Afterwards, simulations are presented which show some agreement with experimental data.Conclusion Finally, the proposed model highlights different types of possible actions for traffic flow control.

【 授权许可】

CC BY   
© The Author(s) 2012. This article is published under license to BioMed Central Ltd.Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.