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

Autor:	Di Francesco, M., Fagioli, S., Rosini, M. D.
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs 35L65 90B20 (Primary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages, 12 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.02700 Zobrazit plný text záznamu View this record from Arxiv