Riemann solver for a macroscopic double-lane roundabout model

Maria Laura Delle Monache (1) , Samuel Hammond (2) , Benedetto Piccoli (3)

1 NECS - Networked Controlled Systems
2 College of Egineering [Rowan]
3 Rutgers University, Department of Mathematics

In this article, we introduce a Riemann solver for traffic flow on a roundabout with two lanes. The roundabout is modeled as a sequence of 2 × 1, 1 × 2 and 2 × 2 junctions. The Riemann solver provide a solution at junctions by taking into consideration traffic distribution, priorities, and the maximization of through flux. We prove existence and uniqueness of the solution of the Riemann problem and show some results numerically.

Mots clés: Traffic modeling; Macroscopic models; Roundabouts

Domaines: Equations aux dérivées partielles [math.AP]

Maria Laura Delle Monache, Samuel Hammond, Benedetto Piccoli. Riemann solver for a macroscopic double-lane roundabout model. CTS 2018 - 15th IFAC Symposium on Control in Transportation Systems, Jun 2018, Savona, Italy. pp.55-60, ⟨10.1016/j.ifacol.2018.07.010⟩. ⟨hal-01816703⟩