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
-
Abstract
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.
-
-
-
-
DownLoad: