Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913371798896640 |
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| author | Kolbe, Niklas |
| author_facet | Kolbe, Niklas |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_21005 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model Kolbe, Niklas Numerical Analysis 35L65, 90B10, 90B20 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. |
| title | Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model |
| topic | Numerical Analysis 35L65, 90B10, 90B20 |
| url | https://arxiv.org/abs/2405.21005 |