A two-dimensional multi-class traffic flow model
Numerical Analysis
2020-11-04 v2 Numerical Analysis
Abstract
The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [20], 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.
Cite
@article{arxiv.2006.10131,
title = {A two-dimensional multi-class traffic flow model},
author = {Caterina Balzotti and Simone Göttlich},
journal= {arXiv preprint arXiv:2006.10131},
year = {2020}
}
Comments
21 pages, 14 figures