A numerical scheme for moving bottlenecks in traffic flow

Maria Laura Delle Monache 1 Paola Goatin 2
1 Rutgers University [Camden]
2 Acumes - Analysis and Control of Unsteady Models for Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
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).
Keywords : Scalar conservation laws with local moving constraints Traffic flow modeling PDE-ODE coupling Conservative finite volume schemes
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Article dans une revue
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〉
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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, Springer Verlag, 2016, 47 (2), pp.605-617. 〈10.1007/s00574-016-0172-8〉. 〈hal-01402618〉

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