Skip to Main content Skip to Navigation
Journal articles

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).
Document type :
Journal articles
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

https://hal.inria.fr/hal-01402618
Contributor : Paola Goatin <>
Submitted on : Thursday, November 24, 2016 - 10:06:03 PM
Last modification on : Wednesday, December 4, 2019 - 10:41:32 AM
Long-term archiving on: : Monday, March 20, 2017 - 11:22:33 PM

File

ProceedingHYP.pdf
Files produced by the author(s)

Identifiers

Citation

Maria Laura Delle Monache, Paola Goatin. A numerical scheme for moving bottlenecks in traffic flow. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, Springer Verlag, 2016, 47 (2), pp.605-617. ⟨10.1007/s00574-016-0172-8⟩. ⟨hal-01402618⟩

Share

Metrics

Record views

311

Files downloads

251