Nonlocal reaction traffic flow model with on-off ramps
Analysis of PDEs
2021-09-10 v1 Numerical Analysis
Numerical Analysis
Abstract
We present a non-local version of a scalar balance law modeling traffic flow with on-ramps and off-ramps. The source term is used to describe the traffic flow over the on-ramp and off-ramps. We approximate the problem using an upwind-type numerical scheme and we provide L^\infty and BV estimates for the sequence of approximate solutions. Together with a discrete entropy inequality, we also show the well-posedness of the considered class of scalar balance laws. Some numerical simulations illustrate the behaviour of solutions in sample cases.
Keywords
Cite
@article{arxiv.2109.04141,
title = {Nonlocal reaction traffic flow model with on-off ramps},
author = {F. A. Chiarello and H. D. Contreras and L. M. Villada},
journal= {arXiv preprint arXiv:2109.04141},
year = {2021}
}