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Journal Articles Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society Year : 2016

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).
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Dates and versions

hal-01402618 , version 1 (24-11-2016)

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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, 2016, 47 (2), pp.605-617. ⟨10.1007/s00574-016-0172-8⟩. ⟨hal-01402618⟩
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