A macroscopic traffic flow model with phase transitions and local point constraints on the flow
Analysis of PDEs
2016-05-27 v1 Numerical Analysis
Abstract
The two phase model for vehicular traffic flows recently appeared in \cite{goatin2006aw} and \cite{BenyahiaRosini01} is endowed with a point constraint on the flow to allow for the modelling of phenomena such as the effects of toll booths along a road. We describe in this paper two Riemann solvers for this model upon which an ulterior study of the cauchy problem should rely.
Keywords
Cite
@article{arxiv.1605.08191,
title = {A macroscopic traffic flow model with phase transitions and local point constraints on the flow},
author = {Massimiliano D. Rosini and Benyahia Mohamed Ramiz},
journal= {arXiv preprint arXiv:1605.08191},
year = {2016}
}