In this paper we present a new multi-scale method for reproducing traffic flow which couples a first-order macroscopic model with a second-order microscopic model, avoiding any interface or boundary conditions between them. The multi-scale model is characterized by the fact that microscopic and macroscopic descriptions are not spatially separated. On the contrary, the macro-scale is always active while the micro-scale is activated only if needed by the traffic conditions. The Euler-Godunov scheme associated to the model is conservative and it is able to reproduce typical traffic phenomena like stop & go waves.

An interface-free multi-scale multi-order model for traffic flow / Cristiani, E.; Iacomini, E.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 24:11(2019), pp. 6189-6207. [10.3934/dcdsb.2019135]

An interface-free multi-scale multi-order model for traffic flow

Iacomini E.
2019

Abstract

In this paper we present a new multi-scale method for reproducing traffic flow which couples a first-order macroscopic model with a second-order microscopic model, avoiding any interface or boundary conditions between them. The multi-scale model is characterized by the fact that microscopic and macroscopic descriptions are not spatially separated. On the contrary, the macro-scale is always active while the micro-scale is activated only if needed by the traffic conditions. The Euler-Godunov scheme associated to the model is conservative and it is able to reproduce typical traffic phenomena like stop & go waves.
ARZ model; Follow-the-leader models; Fundamental diagram; LWR model; Multi-scale models; Stop & go waves; Traffic flow models
01 Pubblicazione su rivista::01a Articolo in rivista
An interface-free multi-scale multi-order model for traffic flow / Cristiani, E.; Iacomini, E.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 24:11(2019), pp. 6189-6207. [10.3934/dcdsb.2019135]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1340706
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