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Accueil > Les conférences du LMB > Colloques, journées > Finite volumes schemes and traffic modeling 2017 > The Finite volumes schemes and traffic modeling in Besançon, (...)

The Finite volumes schemes and traffic modeling in Besançon, France

Organisers : Giuseppe M. Coclite, Carlotta Donadello, Ulrich Razafison

Contacts : Carlotta Donadello, Ulrich Razafison

Dates : 22th November 2017 -> 23th November 2017

Venue : Besançon

The international conference "The Finite volumes schemes and traffic modeling" will be held at Besançon (France) from 22th to 23th of November 2017.

The conference will be around two topics : Finite volumes methods for conservation laws and modeling of vehicular traffic or crowd dynamics.

The conference is part of the special program "Les conférences du LMB" supported by the Région Bourgogne Franche-Comté.

Location : The conference will take place in Besançon city, in the CLA (Centre de linguistique appliquée) building, Salle Quemada. This building is next to the hotel AdagioAccess/Zenitude where all the speakers will have their accomodation. The hotel is easily accessible by tramway from the railway station Besancon Viotte (10 minutes). The tramway stop closest to the hotel is "Canot".

Schedule : Registration (free) and welcome buffet will open at 12:30 on Wednesday, November 22th in the CLA (Centre de linguistique appliquée) building, Salle Quemada.
The scientific program will start at 1:30 pm after a short foreword by the directors of the CLA and of the Laboratoire de Mathématiques de Besançon.

The workshop will end on Thursday 23th at approximatively 12:00 pm.

Program

Wednesday
13:30 Bertrand MAURY
14:15 Maria Laura DELLE MONACHE
15:00 Christophe LANG and Nicolas MARILLEAU
15:45—16:00 coffee break
16:00 Andrea TOSIN
16:45 Guillaume COSTESEQUE

Thursday
8:45 Hélène MATHIS
9:30 Gabriella PUPPO
10:15—10:30 coffee break
10:30 Mattia ZANELLA
11:15 Monika TWAROGOWSKA

Titles and abstracts

Guillaume Costeseque : A new solver for the ARZ traffic flow model on a junction

In this talk, I will present a new optimization framework to solve the second order traffic flow model known as the ARZ model, on a junction. After a brief introduction on traffic flow models, I will focus on what have been done in the literature for second order models on junctions.
Then, I will explain our approach which is based on a multi-objective optimization of the incoming fluxes.
I will fully present the cases of a general diverge and of a 2-to-1 merge.
This work has been completed in collaboration with Oliver KOLB and Simone GÖTTLICH from the University of Mannheim (Germany) and Paola GOATIN from Inria Sophia-Antipolis.

Maria Laura Delle Monache : Control of traffic : from ramp metering to autonomous vehicles

In this talk, we will consider different control frameworks for traffic flow. In particular, we will show the evolution of traffic control from classical strategies (for example ramp-metering) to more modern approaches using autonomous vehicles. We will introduce different ways to describe the problem by using scalar conservation laws and coupled PDE-ODE models. We will show theoretical, numerical and experimental results.

Christophe Lang and Nicolas Marilleau : Exploring Intra-Urban Accessibility and Impacts of Pollution Policies with an Agent-Based Simulation Platform : GaMiroD

In our work, we address the issue of sustainable cities by focusing on one of their very central components : daily mobility. Indeed, if cities can be interpreted as spatial organizations allowing social interactions, the number of daily movements needed to reach this goal is continuously increasing. Therefore, improving urban accessibility merely results in increasing traffic and its negative externalities (congestion, accidents, pollution, noise, etc.), while eventually reducing the quality of life of people in the city. This is why several urban-transport policies are implemented in order to reduce individual mobility impacts while maintaining equitable access to the city. This challenge is however non-trivial and therefore we propose to investigate this issue from the complex systems point of view. The real spatial-temporal urban accessibility of citizens cannot be approximated just by focusing on space and implies taking into account the space-time activity patterns of individuals, in a more dynamic way. Thus, given the importance of local interactions in such a perspective, an agent based approach seems to be a relevant solution. This kind of individual based and “interactionist” approach allows us to explore the possible impact of individual behaviors on the overall dynamics of the city but also the possible impact of global measures on individual behaviors.

Hélène Mathis : Numerical convergence for the diffusive limit of the Goldstein-Taylor model on bounded domain

This work deals with the numerical approximation of the diffusive limit of the Goldstein-Taylor model by means of an Asymptotic Preserving scheme. The problem is set on some bounded domain with non homogeneous boundary conditions depending on time. Adapting techniques developed by Golse and Salvarani (Nonlinearity, 2007), we provide an uniform estimate in the small relaxation parameter using a relative entropy method on the discrete solution with respect to a suitable profile which complies with the boundary conditions expected at the diffusive limit. Some numerical results illustrate the numerical convergence.
This is a joined work with Nicolas Therme, supported by the ANR Project Achylles.

Bertrand Maury : Modeling of evacuation processes : paradoxical phenomena and related micro-macro issues

During emergency evacuation of a room or a building, specific effects can be observed under some circumstances. In the decreasing order of observability, we can mention the Capacity Drop phenomena (the flux through the exit is reduced when the density upstream reaches some critical value), The Faster is Slower effect (increasing the individual speed or eagerness may reduce the overall efficiency of the evacuation process), and the beneficial effect of an Obstacle upstream the exit.
Within the framework of granular (hard-disc models), we shall give some theoretical arguments suggesting that those effect are consequences of the pathological structure of an underlying Laplace-like operator, defined on the dual graph of contacts (the vertices of which are the contact points). It is noteworthy that the macroscopic version of those granular model also relies on a Laplace operator, but the good properties (in particular the maximum principle) of this operator makes the macroscopic approach unable to recover the effects mentioned above.

Gabriella Puppo : The mystery of the backward turning characteristic

Kinetic models for traffic flow are based on a space of microscopic velocities composed only of positive speeds : cars in fact cannot move backward on a road. However, it is clear that in traffic there are disturbances which move backward with respect to each driver. As a result, it is not surprising that a standard application of a finite volume scheme brings in paradoxical results. In this talk I will illustrate what is at stake, and possibly a strategy to obtain reasonable results. The key fact here is the interplay between the convective terms and the relaxation source.

Andrea Tosin : Control strategies for road risk mitigation in kinetic traffic modelling

In this talk we present a Boltzmann-type kinetic approach to the modelling of road traffic, which includes control strategies at the level of microscopic binary interactions aimed at the mitigation of speed-dependent road risk factors. Such a description is meant to mimic a system of driver-assist vehicles, which by responding locally to the actions of their drivers can impact on the large-scale traffic dynamics, including those related to the collective road risk and safety.
Joint work with Mattia Zanella (Politecnico di Torino, Italy).
Reference : A. Tosin, M. Zanella. Control strategies for road risk mitigation in kinetic traffic modelling, arXiv:1709.09980, 2017.

Monika Twarogowska : Well-balanced scheme for a kinetic-parabolic system modeling traveling chemotactic aggregates

Mattia Zanella : Hybrid stochastic kinetic modelling for traffic dynamics