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Networks and Heterogeneous Media

2009, Volume 4, Issue 4: 813-826. doi: 10.3934/nhm.2009.4.813
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A novel model for intersections of vehicular traffic flow

  • 1.
    Fachbereich Mathematik, RWTH Aachen University, Templergraben 55, D-52074 Aachen
  • 2.
    INRETS-GRETIA, 2 Avenue du Général Marellet-Joinville, F 94114 Arcueil
  • 3.
    Queen’s University Belfast, CenSSOR David Bates Building, University Road Belfast BT7 1NN
  • Received: 01 March 2009 Revised: 01 August 2009

  • Primary: 35L65; Secondary: 90B20.

  • This paper deals with intersections' modeling for vehicular traffic flow governed by the Lighthill & Whitham [24] and Richards [26] model. We present a straightforward reformulation of recent intersections' models, introduced in [19] and [4], using a description in terms of supply and demand functions [22, 6]. This formulation is used to state the new model which takes into account a possible storage capacity of an intersection as seen in roundabouts or highway on-ramps. We discuss the Riemann problem at the junction and present numerical simulations.

    Citation: Michael Herty, J.-P. Lebacque, S. Moutari. A novel model for intersections of vehicular traffic flow[J]. Networks and Heterogeneous Media, 2009, 4(4): 813-826. doi: 10.3934/nhm.2009.4.813

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    [2] Michael Herty, J.-P. Lebacque, S. Moutari . A novel model for intersections of vehicular traffic flow. Networks and Heterogeneous Media, 2009, 4(4): 813-826. doi: 10.3934/nhm.2009.4.813
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  • This paper deals with intersections' modeling for vehicular traffic flow governed by the Lighthill & Whitham [24] and Richards [26] model. We present a straightforward reformulation of recent intersections' models, introduced in [19] and [4], using a description in terms of supply and demand functions [22, 6]. This formulation is used to state the new model which takes into account a possible storage capacity of an intersection as seen in roundabouts or highway on-ramps. We discuss the Riemann problem at the junction and present numerical simulations.


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  • © 2009 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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