Nonlocal approaches for multilane traffic models
Numerical Analysis
2022-09-08 v1 Numerical Analysis
Abstract
We present a multilane traffic model based on balance laws, where the nonlocal source term is used to describe the lane changing rate. The modelling framework includes the consideration of local and nonlocal flux functions. Based on a Godunov type numerical scheme, we provide BV estimates and a discrete entropy inequality. Together with the -contractivity property, we prove existence and uniqueness of weak solutions. Numerical examples show the nonlocal impact compared to local flux functions and local sources.
Keywords
Cite
@article{arxiv.2012.05794,
title = {Nonlocal approaches for multilane traffic models},
author = {Jan Friedrich and Simone Göttlich and Elena Rossi},
journal= {arXiv preprint arXiv:2012.05794},
year = {2022}
}