We extend the Phase Transition model for traffic proposed in [8], by Colombo, Marcellini, and Rascle to the network case. More precisely, we consider the Riemann problem for such a system at a general junction with n incoming and m outgoing roads. We propose a Riemann solver at the junction which conserves both the number of cars and the maximal speed of each vehicle, which is a key feature of the Phase Transition model. For special junctions, we prove that the Riemann solver is well defined

Garavello, M., Marcellini, F. (2016). The Riemann Problem at a Junction for a Phase Transition Traffic Model [Working paper].

The Riemann Problem at a Junction for a Phase Transition Traffic Model

MARCELLINI, FRANCESCA
2016

Abstract

We extend the Phase Transition model for traffic proposed in [8], by Colombo, Marcellini, and Rascle to the network case. More precisely, we consider the Riemann problem for such a system at a general junction with n incoming and m outgoing roads. We propose a Riemann solver at the junction which conserves both the number of cars and the maximal speed of each vehicle, which is a key feature of the Phase Transition model. For special junctions, we prove that the Riemann solver is well defined
Working paper
Scientifica
Phase transition model, Hyperbolic Systems of Conservation Laws, Continuum Traffic Models, Riemann problem, Riemann solver
English
Garavello, M., Marcellini, F. (2016). The Riemann Problem at a Junction for a Phase Transition Traffic Model [Working paper].
Garavello, M; Marcellini, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/140656
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