Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints
ESAIM. Proceedings, Tome 45 (2014), pp. 456-466
Cet article a éte moissonné depuis la source EDP Sciences
In this article we study a strongly coupled PDE-ODE problem from an analytical and numerical point of view. This model describes a moving bottleneck that can be produced by the presence of a bus on a road network. The PDE is a scalar hyperbolic conservation law describing the traffic flow while the ODE, that describes the bus trajectory, is intended in 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. We give an existence result and introduce a finite volume scheme. The algorithm uses a locally non-uniform moving mesh which tracks the bus position. Some numerical tests are presented, in order to describe the behavior of the solution.
@article{EP_2014_45_a47,
author = {Maria Laura Delle Monache},
title = {Modeling of moving bottlenecks in traffic flow: a {PDE-ODE} model with moving density constraints},
journal = {ESAIM. Proceedings},
pages = {456--466},
year = {2014},
volume = {45},
doi = {10.1051/proc/201445047},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201445047/}
}
TY - JOUR AU - Maria Laura Delle Monache TI - Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints JO - ESAIM. Proceedings PY - 2014 SP - 456 EP - 466 VL - 45 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201445047/ DO - 10.1051/proc/201445047 LA - en ID - EP_2014_45_a47 ER -
%0 Journal Article %A Maria Laura Delle Monache %T Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints %J ESAIM. Proceedings %D 2014 %P 456-466 %V 45 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201445047/ %R 10.1051/proc/201445047 %G en %F EP_2014_45_a47
Maria Laura Delle Monache. Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints. ESAIM. Proceedings, Tome 45 (2014), pp. 456-466. doi: 10.1051/proc/201445047
Cité par Sources :