Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model
<|reference_start|>Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model: 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.<|reference_end|>
@article{kolbe2024influx,
    title={Influx ratio preserving coupling conditions for the networked
  Lighthill-Whitham-Richards model},
    author={Niklas Kolbe},
    journal={arXiv preprint arXiv:2405.21005},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.21005},
    primaryClass={math.NA cs.NA}
}