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A numerical scheme for moving bottlenecks in traffic flow
Abstract : We consider a strongly coupled PDE-ODE system that describes the moving bottlenecks created by several buses on a road. The model consists of a scalar conservation law modeling the main traffic evolution and a series of ODEs accounting for the trajectories of the buses, which depend on the surrounding traffic density. The moving bottlenecks are expressed by inequality constraints on the flux. We generalize a conservative finite volume scheme for the constrained hyperbolic PDE using a reconstruction technique and a tracking algorithm for the ODEs. Numerical simulations illustrate the impact of the buses on traffic flow. This is joint work with C. Chalons (Université of Versailles Saint-Quentin, France).
Cited literature [18 references]
https://hal.inria.fr/hal-01402618
Contributor : Paola Goatin Connect in order to contact the contributor
Submitted on : Thursday, November 24, 2016 - 10:06:03 PM
Last modification on : Wednesday, February 2, 2022 - 3:57:28 PM
Long-term archiving on: : Monday, March 20, 2017 - 11:22:33 PM
Contributor : Paola Goatin Connect in order to contact the contributor
Submitted on : Thursday, November 24, 2016 - 10:06:03 PM
Last modification on : Wednesday, February 2, 2022 - 3:57:28 PM
Long-term archiving on: : Monday, March 20, 2017 - 11:22:33 PM
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ProceedingHYP.pdf
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