A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Discrete and Continuous Dynamical Systems - Series S Year : 2014

A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow

Abstract

In this paper we introduce a numerical method for tracking a bus trajectory on a road network. The mathematical model taken into consideration is a strongly coupled PDE-ODE system: the PDE is a scalar hyperbolic conservation law describing the traffic flow while the ODE, that describes the bus trajectory, needs to be intended in a Carathéodory sense. The moving constraint is given by an inequality on the flux which accounts for the bottleneck created by the bus on the road. The finite volume algorithm uses a locally non-uniform moving mesh which tracks the bus position. Some numerical tests are shown to describe the behavior of the solution.
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Dates and versions

hal-00930031 , version 1 (24-01-2014)

Identifiers

  • HAL Id : hal-00930031 , version 1

Cite

Maria Laura Delle Monache, Paola Goatin. A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow. Discrete and Continuous Dynamical Systems - Series S, 2014, 7 (3), pp.435-447. ⟨hal-00930031⟩
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