Homogeneous Bidimensional Traffic Flow Model

Abstract The object of this paper is to introduce a bidimensional model of vehicular traffic flow. The model is bidimensional in the sense that the underlying network is approximated by a continuous medium, and that traffic flow is approximated as a bidimensional fluid. The model is homogeneous in the sense that it does not presuppose local privileged directions of travel. Thus the proposed model is dynamic and recaptures several existing models. It can also be interfaced with the GSOM (Generic second order model) for traffic on networks, allowing to treat large networks with major arteries (modelled via GSOM) and dense subnetworks, modelled by the proposed bidimensional model. The bidimensional model is introduced in a discretized and phenomenological way, and is completely described in this setting.