Comparative study of macroscopic traffic flow models at road junctions

Paola Goatin; Elena Rossi; Paola Goatin; Elena Rossi

doi:10.3934/nhm.2020012

Networks and Heterogeneous Media

2020, Volume 15, Issue 2: 261-279. doi: 10.3934/nhm.2020012

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Comparative study of macroscopic traffic flow models at road junctions

Paola Goatin ^{1
,},
Elena Rossi ^{2
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1.
Inria Sophia Antipolis - Méditerranée, Université Côte d'Azur, Inria, CNRS, LJAD, 2004 route des Lucioles - BP 93, 06902 Sophia Antipolis Cedex, France
2.
Università degli Studi di Milano-Bicocca, Dipartimento di Matematica e Applicazioni, via R. Cozzi 55, 20126 Milano, Italy

Received: 01 February 2020 Published: 30 April 2020
Primary: 35L65, 90B20; Secondary: 82B21

We qualitatively compare the solutions of a multilane model with those produced by the classical Lighthill-Whitham-Richards equation with suitable coupling conditions at simple road junctions. The numerical simulations are based on the Godunov and upwind schemes. Several tests illustrate the models' behaviour in different realistic situations.
- Macroscopic traffic flow models on networks,
- multilane models,
- multi-population models,
- finite volume schemes,
- hyperbolic systems of balance laws
Citation: Paola Goatin, Elena Rossi. Comparative study of macroscopic traffic flow models at road junctions[J]. Networks and Heterogeneous Media, 2020, 15(2): 261-279. doi: 10.3934/nhm.2020012

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Abstract

We qualitatively compare the solutions of a multilane model with those produced by the classical Lighthill-Whitham-Richards equation with suitable coupling conditions at simple road junctions. The numerical simulations are based on the Godunov and upwind schemes. Several tests illustrate the models' behaviour in different realistic situations.

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