GODUNOV discretization of a two-flow macroscopic model for mixed traffic with distinguished speeds and lengths
CHANUT ; BUISSON
Type de document
COMMUNICATION AVEC ACTES INTERNATIONAL (ACTI)
Langue
anglais
Auteur
CHANUT ; BUISSON
Résumé / Abstract
This paper introduces a new first-order traffic flow model which takes into account the fact that various vehicles use the roads simultaneously, particularly cars and trucks. The main improvement this model has to offer is that vehicles are differentiated not only by their lengths but also by their speeds in free-flow regime. In deed trucks in European roads are characterized by a lower speed than cars. A system of hyperbolic conservation equations is defined. In this system the flux function giving the flow of heavy and light vehicles depends on total and partial densities. This is partly solved in the Riemann case in order to establish a GODUNOV discretization of the problem. Some model output is shown stressing that speed differences between the two types of vehicles and congestion propagation are sufficiently reproduced. We conclude this paper by highlighting the limits of the proposed model and suggesting potential avenues of research in this domain.
