Lagrangian generic second order traffic flow models for node
This study sheds light on higher order macroscopic traffic flow modeling on road networks, thanks to the generic second order models (GSOM family) which embeds a myriad of traffic models. It has been demonstrated that such higher order models are easily solved in Lagrangian coordinates which are com...
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KeAi Communications Co., Ltd.
2018-02-01
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doaj-2982c834309d498194ab64516ffcf5e22021-03-02T11:03:32ZengKeAi Communications Co., Ltd.Journal of Traffic and Transportation Engineering (English ed. Online)2095-75642018-02-0151142710.1016/j.jtte.2017.08.001Lagrangian generic second order traffic flow models for nodeAsma Khelifi0Habib Haj-Salem1Jean-Patrick Lebacque2Lotfi Nabli3Engineering of Surface Transportation Networks and Advanced Computing Laboratory, IFSTTAR/GRETTIA, Marne la Vallée 77447, FranceEngineering of Surface Transportation Networks and Advanced Computing Laboratory, IFSTTAR/GRETTIA, Marne la Vallée 77447, FranceEngineering of Surface Transportation Networks and Advanced Computing Laboratory, IFSTTAR/GRETTIA, Marne la Vallée 77447, FranceDepartment of Electrical Engineering, Research Laboratory of Control, Signal Processing and Imaging, National Engineering School of Monastir, Monastir 5000, TunisiaThis study sheds light on higher order macroscopic traffic flow modeling on road networks, thanks to the generic second order models (GSOM family) which embeds a myriad of traffic models. It has been demonstrated that such higher order models are easily solved in Lagrangian coordinates which are compatible with both microscopic and macroscopic descriptions. The generalized GSOM model is reformulated in the Lagrangian coordinate system to develop a more efficient numerical method. The difficulty in applying this approach on networks basically resides in dealing with node dynamics. Traffic flow characteristics at node are different from that on homogeneous links. Different geometry features can lead to different critical research issues. For instance, discontinuity in traffic stream can be an important issue for traffic signal operations, while capacity drop may be crucial for lane-merges. The current paper aims to establish and analyze a new adapted node model for macroscopic traffic flow models by applying upstream and downstream boundary conditions on the Lagrangian coordinates in order to perform simulations on networks of roads, and accompanying numerical method. The internal node dynamics between upstream and downstream links are taken into account of the node model. Therefore, a numerical example is provided to underscore the efficiency of this approach. Simulations show that the discretized node model yields accurate results. Additional kinematic waves and contact discontinuities are induced by the variation of the driver attribute.http://www.sciencedirect.com/science/article/pii/S2095756416302422MacroscopicTraffic flow modelingGSOM familyLagrangianNode |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Asma Khelifi Habib Haj-Salem Jean-Patrick Lebacque Lotfi Nabli |
spellingShingle |
Asma Khelifi Habib Haj-Salem Jean-Patrick Lebacque Lotfi Nabli Lagrangian generic second order traffic flow models for node Journal of Traffic and Transportation Engineering (English ed. Online) Macroscopic Traffic flow modeling GSOM family Lagrangian Node |
author_facet |
Asma Khelifi Habib Haj-Salem Jean-Patrick Lebacque Lotfi Nabli |
author_sort |
Asma Khelifi |
title |
Lagrangian generic second order traffic flow models for node |
title_short |
Lagrangian generic second order traffic flow models for node |
title_full |
Lagrangian generic second order traffic flow models for node |
title_fullStr |
Lagrangian generic second order traffic flow models for node |
title_full_unstemmed |
Lagrangian generic second order traffic flow models for node |
title_sort |
lagrangian generic second order traffic flow models for node |
publisher |
KeAi Communications Co., Ltd. |
series |
Journal of Traffic and Transportation Engineering (English ed. Online) |
issn |
2095-7564 |
publishDate |
2018-02-01 |
description |
This study sheds light on higher order macroscopic traffic flow modeling on road networks, thanks to the generic second order models (GSOM family) which embeds a myriad of traffic models. It has been demonstrated that such higher order models are easily solved in Lagrangian coordinates which are compatible with both microscopic and macroscopic descriptions. The generalized GSOM model is reformulated in the Lagrangian coordinate system to develop a more efficient numerical method. The difficulty in applying this approach on networks basically resides in dealing with node dynamics. Traffic flow characteristics at node are different from that on homogeneous links. Different geometry features can lead to different critical research issues. For instance, discontinuity in traffic stream can be an important issue for traffic signal operations, while capacity drop may be crucial for lane-merges. The current paper aims to establish and analyze a new adapted node model for macroscopic traffic flow models by applying upstream and downstream boundary conditions on the Lagrangian coordinates in order to perform simulations on networks of roads, and accompanying numerical method. The internal node dynamics between upstream and downstream links are taken into account of the node model. Therefore, a numerical example is provided to underscore the efficiency of this approach. Simulations show that the discretized node model yields accurate results. Additional kinematic waves and contact discontinuities are induced by the variation of the driver attribute. |
topic |
Macroscopic Traffic flow modeling GSOM family Lagrangian Node |
url |
http://www.sciencedirect.com/science/article/pii/S2095756416302422 |
work_keys_str_mv |
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