Abstract

A new coupling rule for the Lighthill–Whitham—Richards model at mergingjunctions is introduced that imposes the preservation of the ratio between inflowfrom a given road to the total inflow into the junction. This rule is consideredboth 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 andcongestion scenarios without relying on flow maximization.

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arXiv:2405.21005
Proceedings in Applied Mathematics and MechanicsVolume 24, Issue 4: Special Issue: 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) Dec 2024