Traffic Flow within a Two-dimensional Continuum Anisotropic Network

Kwami Seyram Sossoe (1) , Jean-Patrick Lebacque (2) , A. Mokrani (2) , Habib Haj Salem (3, 2)

1 IRT SystemX
2 IFSTTAR/COSYS/GRETTIA - Génie des Réseaux de Transport Terrestres et Informatique Avancée
3 UPE - Université Paris-Est

Network flow computing based on macroscopic traffic flow models for large and dense networks involves a large number of parameters and variables, and significant computational efforts. We aim at reducing these and introduce a modelling framework at two-dimensional scale in order to model traffic flow of transportation systems of large surface networks. We present a network flow pattern corresponding to network flows modelling with a few network sensors of traffic count locations. We manage and evaluate traffics on wide and dense networks with a minimum of available measurements and data, through modelling of global behaviours based on local behaviours. We find that the traffic at this scale is governed by multidimensional hyperbolic conservations laws. Godunov-type method has been proposed to compute the network flow flux across computational domains.

Mots clés: finite volume method; multidimensional hyperbolic PDEs system; two-dimensional traffic flow; continuum anisotropic network; dense network of large surface

Domaines: Equations aux dérivées partielles [math.AP]; Statistiques [math.ST]; Analyse numérique [math.NA]; Autre

Kwami Seyram Sossoe, Jean-Patrick Lebacque, A. Mokrani, Habib Haj Salem. Traffic Flow within a Two-dimensional Continuum Anisotropic Network. Transportation Research Procedia, 2015, 10, pp.217-225. ⟨hal-01559819⟩