[Internship ACUMES] Macroscopic traffic flow models for multi-modal urban mobility

_Le descriptif de l’offre ci-dessous est en Anglais_ NIVEAU DE DIPLÔME EXIGÉ : Bac + 4 ou équivalent FONCTION : Stagiaire de la recherche A PROPOS DU CENTRE OU DE LA DIRECTION FONCTIONNELLE The Inria Sophia Antipolis - Méditerranée center counts 34 research teams as well as 7 support departments. The center's staff (about 500 people including 320 Inria employees) is made up of scientists of different nationalities (250 foreigners of 50 nationalities), engineers, technicians and administrative staff. 1/3 of the staff are civil servants, the others are contractual agents. The majority of the center’s research teams are located in Sophia Antipolis and Nice in the Alpes-Maritimes. Four teams are based in Montpellier and two teams are hosted in Bologna in Italy and Athens. The Center is a founding member of Université Côte d'Azur and partner of the I-site MUSE supported by the University of Montpellier. CONTEXTE ET ATOUTS DU POSTE ACUMES Project-Team has an established experience in (macroscopic) traffic flow modeling and optimization. The IFPEN team has a long expertise in environmental impact assessment and optimization of the different agents of mobility. The intern will be based in Sophia Antipolis, under the joint supervision of Dr Paola Goatin (Inria, http://www-sop.inria.fr/members/Paola.Goatin/) Dr Giovanni De Nunzio (IFPEN) MISSION CONFIÉE The rapid evolution of urban mobility as a response to the environmental and sanitary concerns leads the existing road infrastructure to be more and more shared by vehicles of different nature (e.g. bicycles, scooters, cars, buses, motorbikes, trams, etc.). Due to the scarcity of urban space or resources to allocate dedicated lanes for the different modes of transportation, such vehicle classes sharing a same infrastructure end up influencing one another as well as the resulting mobility flows. This could potentially reduce the environmental benefits of having a larger adoption of green mobility (e.g. bicycles, e-scooters) which could disrupt the flow of motorized traffic. The purpose of this internship is to develop a general modeling framework based on multi-class models [1, 2, 3, 4, 7, 8] consisting in systems of hyperbolic Partial Differential Equation on networks, which allows to describe the interactions between different transportation modes and their impact on the aggregated traffic variables such as average speed and flow, while guaranteeing large-scale analysis and fast computation. This work can constitute the first step in an ambitious PhD project in collaboration with IFP Energies nouvelles (IFPEN) aiming at developing an urban traffic management approach to optimize modal shares and routing strategies to improve mobility performances in our cities and reduce pollution [5, 6]. * M. Briani, E. Cristiani, P. Ranut, Macroscopic and Multi-Scale Models for Multi-Class Vehicular Dynamics with Uneven Space Occupancy: A Case Study, Axioms 2021, 10, 102. * F.A. Chiarello, P. Goatin, Non-local multi-class traffic flow models, Netw. Heterog. Media, 14(2) (2019), 371-387. * A. Festa, P. Goatin, Modeling the impact of on-line navigation devices in traffic flows, CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019. * S. Gashaw, J. H ̈arri, P. Goatin, Lagrangian formulation for mixed traffic flow includ- ing twowheelers, 2018 21st International Conference on Intelligent Transportation Systems (ITSC), 2018, pp. 1956-1961 * G. De Nunzio, M. Laraki, L. Thibault, Road Traffic Dynamic Pollutant Emissions Estima- tion: From Macroscopic Road Information to Microscopic Environmental Impact, MDPI Atmosphere, 2021, 12(1), 53. * B. Othman, G. De Nunzio, A. Sciarretta, D. Di Domenico, C. Canudas de Wit, Connectivity and Automation as Enablers for Energy-Efficient Driving and Road Traffic Management, Handbook of Climate Change Mitigation and Adaptation, Springer, pp.XXVII, 2130, 2021. * M. J. Wierbos, V. L. Knoop, F. S. H ̈anseler, S. P. Hoogendoorn, A macroscopic flow model for mixed bicycle–car traffic, Transportmetrica A: Transport Science, 17:3, 340-355, 2021. * K. Yuan, V. L. Knoop, S. P. Hoogendoorn, Multi-class traffic flow on a partially space shared road, Transportmetrica B: Transport Dynamics, 7:1, 1505-1520, 2019. PRINCIPALES ACTIVITÉS The study will be based on the following steps: * Month 1: Literature review. The intern will get familiar with the models (systems of multi-class conservation laws on networks) and the associated numerical discretization (based on a finite volume scheme). * Months 2-3: Model extension. The models and the numerical schemes will be extended to account for the presence of different transportation modes. * Months 4-5: Code implementation. Numerical schemes will be implemented and tested on specific scenarios. * Month 6: Report writing. The results will be reported in detail and the codes duly cleaned and commented. COMPÉTENCES Technical skills and level required : * Background on Partial Differential Equations (PDE) analysis and numerical approximation, computer simulations. * Experience in using Python / Matlab programming softwares. * Experience in traffic modeling is considered an additional plus. Languages : English Other values appreciated : autonomous and proactive attitude AVANTAGES * Subsidized meals * Partial reimbursement of public transport costs * Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.) * Possibility of teleworking (after 6 months of employment) and flexible organization of working hours * Professional equipment available (videoconferencing, loan of computer equipment, etc.) * Social, cultural and sports events and activities * Access to vocational training * Social security coverage