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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).
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Maria Laura Delle Monache, Paola Goatin. A numerical scheme for moving bottlenecks in traffic flow. HYP2014 – XV International Conference on Hyperbolic problems: theory, numerics, applications., Jul 2014, Rio de Janeiro, Brazil. ⟨hal-01245382⟩

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