A two-dimensional multi-class traffic flow model | Zendy

Caterina Balzotti | Zendy; Simone Göttlich | Zendy

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A two-dimensional multi-class traffic flow model

Author(s) -

Caterina Balzotti,

Simone Göttlich

Publication year - 2020

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2020034

Subject(s) - overtaking , discretization , class (philosophy) , riemann hypothesis , riemann problem , mathematics , conservation law , flow (mathematics) , computer science , type (biology) , scheme (mathematics) , mathematical analysis , geometry , artificial intelligence , geology , paleontology , civil engineering , engineering

The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [12], 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.

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