We introduce a Follow-the-Leader approximation of a nonlocal generalized Aw- Rascle-Zhang (GARZ) model for traffic flow. We prove the convergence to weak solutions of the corresponding macroscopic equations deriving L-infinity and BV estimates. We also provide numerical simulations illustrating the micro-macro convergence and we numerically investigate the nonlocal to local limit for both the microscopic and macroscopic models.

Micro-Macro Limit of a Nonlocal Generalized Aw-Rascle Type Model

F. A. Chiarello;
2020-01-01

Abstract

We introduce a Follow-the-Leader approximation of a nonlocal generalized Aw- Rascle-Zhang (GARZ) model for traffic flow. We prove the convergence to weak solutions of the corresponding macroscopic equations deriving L-infinity and BV estimates. We also provide numerical simulations illustrating the micro-macro convergence and we numerically investigate the nonlocal to local limit for both the microscopic and macroscopic models.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/199904
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