Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model

Stefano Villa (1, 2) , Paola Goatin (2, 3) , Christophe Chalons (4)

1 UNIMIB - Università degli Studi di Milano-Bicocca = University of Milano-Bicocca
2 ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences
3 LJAD - Laboratoire Jean Alexandre Dieudonné
4 LMV - Laboratoire de Mathématiques de Versailles

We introduce a second order model for traffic flow with moving bottlenecks. The model consists of the 2 × 2 Aw-Rascle-Zhang system with a point-wise flow constraint whose trajectory is governed by an ordinary differential equation. We define two Riemann solvers, characterize the corresponding invariant domains and propose numerical strategies, which are effective in capturing the non-classical shocks due to the constraint activation.

Mots clés: Traffic flow models; Finite Volume schemes; Unilateral flux constraints; Riemann Solvers; Moving bottlenecks

Domaines: Equations aux dérivées partielles [math.AP]

Stefano Villa, Paola Goatin, Christophe Chalons. Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model. Discrete and Continuous Dynamical Systems - Series B, 2017, 22 (10), pp.3921-3952. ⟨hal-01347925⟩