THE GODUNOV SCHEME AND WHAT IT MEANS FOR FIRST ORDER TRAFFIC FLOW MODELS

In the present paper, it is shown that most recent discretizations of macroscopic first order traffic flow models are equivalent to Godunov's scheme, by analyzing the Riemann problem in the case of equilibrium flow-density relationship that are discontinuous relatively to the position. Further, its is shown that the resulting formulas lead to a unifying framework for the modelling of boundary conditions in the LWR model and correlatively the modelling of intersections. A few examples of resulting intersection and network models are discussed. For the covering abstract see IRRD 886400.