2D-LWR in large-scale network with space dependent fundamental diagram

Traffic modeling of large-scale urban networks is a challenging task. In the literature, the network is mainly assumed to be homogeneous. However, in a large-scale scenario, it is unlikely that the traffic network characteristics-such as speed limit, number of lanes, or the network geometry-remain constant throughout the network. Therefore, we introduce a two dimensional macroscopic model for large-scale traffic networks where the fundamental diagram is space-dependent and varies with respect to the area considered. We simulate our model and compare the results with those obtained by microsimulation.