The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [21], where a two-dimensional model for a single class of vehicles is proposed, we extend the dynamics to a multi-class model leading to a coupled system of conservation laws in two space dimensions. Besides the study of the Riemann problems we also present a Lax-Friedrichs type discretization scheme recovering the theoretical results by means of numerical tests. We calibrate the multi-class model with real data and compare the fitted model to the real trajectories. Finally, we test the ability of the model to simulate the overtaking of vehicles.

A two-dimensional multi-class traffic flow model / Balzotti, Caterina; Göttlich, Simone. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 16:1(2021), pp. 69-90. [10.3934/nhm.2020034]

A two-dimensional multi-class traffic flow model

Balzotti, Caterina
;
2021

Abstract

The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [21], where a two-dimensional model for a single class of vehicles is proposed, we extend the dynamics to a multi-class model leading to a coupled system of conservation laws in two space dimensions. Besides the study of the Riemann problems we also present a Lax-Friedrichs type discretization scheme recovering the theoretical results by means of numerical tests. We calibrate the multi-class model with real data and compare the fitted model to the real trajectories. Finally, we test the ability of the model to simulate the overtaking of vehicles.
Macroscopic traffic flow, two-dimensional model, multi-class model, Riemann problems, data-fitting.
01 Pubblicazione su rivista::01a Articolo in rivista
A two-dimensional multi-class traffic flow model / Balzotti, Caterina; Göttlich, Simone. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 16:1(2021), pp. 69-90. [10.3934/nhm.2020034]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1487033
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