Our research lines are motivated by our application fields, which we describe below (this list should not be considered as exhaustive):
Vehicular and pedestrian traffic flows
Traffic flow models are a commonly cited example of “complex systems”, in which individual behavior and self-organization phenomena must be taken into account to obtain a realistic description of the observed macroscopic dynamics. Intelligent Transportation Systems (ITS) is nowadays a booming sector, and the contribution of mathematical modeling and optimization is widely recognized. Further improvements require more advanced models, keeping better into account interactions at the microscopic scale.
Active flow control in aerodynamics
Real fluid flows are naturally governed by unsteady and multi-scale phenomena, whose effects are more and more considered in analysis and design of ground and air transportation vehicles. The most advanced works in these fields concern the control of turbulent structures appearing in the wake of vehicles using active devices such as vibrating membranes or pulsating jets, for energy saving and safety issues.
Civil building structures
We consider here topology and shape multi-objective optimization of civil building structures made of new materials, taking into consideration structural safety, energy cost, life cycle analysis and environmental impact. We notably aim to develop efficient methods to capture the Pareto front when the structures undergo uncertain loadings (magnitude, location, direction) or material properties.
Performance optimization in sports
Phenomena encountered in sports provide challenging problems characterized by strong unsteadiness and uncertainty. We consider more specifically sport devices for racing yachts and canoe-kayaks.
Modeling cell dynamics
We intend to model, calibrate, validate and control the migration of multicellular structures. A first ongoing step is to connect activator-inhibitor (pharmaco) dynamics to the Fisher-KPP equation, then assess the ability of the obtained system to model exogeneously activated or inhibited MDCK (Madin-Darby Canine Kidney) cell sheet closure.