Second-order traffic flow models on networks
Numerical Analysis
2020-05-26 v1 Numerical Analysis
Abstract
This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-directional road networks. For the conservation of the mass and the generalized momentum, we construct weak solutions for Riemann problems at the junctions. We particularly focus on a novel approximation to the homogenized pressure by introducing an additional equation for the propagation of a reference pressure. The resulting system of coupled conservation laws is then solved using an appropriate numerical scheme of Godunov type. Numerical simulations show that the proposed approximation is able to approximate the homogenized pressure sufficiently well. The difference of the new approach compared with the Lighthill-Whitham-Richards model is also illustrated.
Keywords
Cite
@article{arxiv.2005.12060,
title = {Second-order traffic flow models on networks},
author = {Simone Göttlich and Michael Herty and Salissou Moutari and Jennifer Weißen},
journal= {arXiv preprint arXiv:2005.12060},
year = {2020}
}