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arXiv · 1511.02700

Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic

M. Di Francesco·S. Fagioli·M. D. Rosini
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Abstract

We consider the Follow-The-Leader approximation of the Aw-Rascle-Zhang (ARZ) model for traffic flow in a multi-population formulation. We prove rigorous convergence to weak solutions of the ARZ system in the many particle limit in presence of vacuum. The result is based on uniform $\mathbf{BV}$ estimates on the discrete particle velocity. We complement out result with numerical simulations of the particle method compared with some exact solutions to the Riemann problem of the ARZ system.

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M. Di Francesco, S. Fagioli, M. D. Rosini. 2016-08-13. Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic. https://arxiv.org/abs/1511.02700

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