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arXiv · 2405.21005

Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model

Niklas Kolbe
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Abstract

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.

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Niklas Kolbe. 2024-05-31. Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model. https://arxiv.org/abs/2405.21005

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