Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints*
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 describi...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2014-09-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201445047 |
| _version_ | 1797968506929545216 |
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| author | Monache Maria Laura Delle |
| author_facet | Monache Maria Laura Delle |
| author_sort | Monache Maria Laura Delle |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T02:47:53Z |
| format | Article |
| id | doaj.art-a947beca99624612a09e76e32bd5c1ec |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T02:47:53Z |
| publishDate | 2014-09-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-a947beca99624612a09e76e32bd5c1ec2023-01-02T17:32:32ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592014-09-014545646610.1051/proc/201445047proc144547Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints*Monache Maria Laura Delle0Inria Sophia Antipolis-MéditerranéeIn 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.http://dx.doi.org/10.1051/proc/201445047 |
| spellingShingle | Monache Maria Laura Delle Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density constraints* ESAIM: Proceedings and Surveys |
| title | Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density
constraints* |
| title_full | Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density
constraints* |
| title_fullStr | Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density
constraints* |
| title_full_unstemmed | Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density
constraints* |
| title_short | Modeling of moving bottlenecks in traffic flow: a PDE-ODE model with moving density
constraints* |
| title_sort | modeling of moving bottlenecks in traffic flow a pde ode model with moving density constraints |
| url | http://dx.doi.org/10.1051/proc/201445047 |
| work_keys_str_mv | AT monachemarialauradelle modelingofmovingbottlenecksintrafficflowapdeodemodelwithmovingdensityconstraints |