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Bibliographic Details
Main Author: Kolbe, Niklas
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.21005
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Table of Contents:
  • A new coupling rule for the Lighthill-Whitham-Richards model at merging junctions is introduced that imposes the preservation of the ratio between inflow from a given road to the total inflow into the junction. This rule is considered both in the context of the original traffic flow model and a relaxation setting giving rise to two different Riemann solvers that are discussed for merging 2-to-1 junctions. Numerical experiments are shown suggesting that the relaxation based Riemann solver is capable of suitable predictions of both, free-flow and congestion scenarios without relying on flow maximization.