Spatial Dynamics of Network Flows
Congestion forms on the roads which have limited spatial capacity, and in turn the travel speed depends on the density of travelers on each road. In this context, transportation research focuses on capturing traffic flow by making use of the fundamental diagrams that empirically relate flow, density and speed in road segments and utilizing them in macroscopic link models. In this work we propose a simple flow model to study the interaction of the spatial dynamics with the network topology.
(see video here)