DCDS-B
Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model
Stefano Villa Paola Goatin Christophe Chalons
Discrete & Continuous Dynamical Systems - B 2017, 22(10): 3921-3952 doi: 10.3934/dcdsb.2017202

We introduce a second order model for traffic flow with moving bottlenecks. The model consists of the × 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.

keywords: Traffic flow models moving bottlenecks unilateral flux constraints Riemann solvers finite volume schemes

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