Research
interests [more
details]
Mathematical modelling - Numerical Simulations - Optimization and control
- Reduced Order
Models
Proper Orthogonal Decomposition (POD)
Asymptotic methods
- Improvement of
reduced
order modeling based on POD
Optimal spectral viscosity, shift and residuals modes, residuals sampling, Greedy method, Krylov methods, non linear Galerkin methods, hybrid methods
- Numerical
Simulations
Finite Element Method (Delaunay Meshes)
Finite Volume, Multigrid and Vortex Methods (Cartesian Meshes with penalization and Level Set)
- Active flow
control and
drag reduction
Dual adjoint methods / optimal control & robust control LQR
DNS & POD + trust region (TRPOD)
- Modelling and
control of reaction-diffusion equations
Model reduction: asymptotic methods (invariance)
Artificial neural networks, genetic algorithms, inverse methods
- Modelling,
simulation
and control of bio inspired locomotion
Cartesian grids, penalization method and level set technics
Swimmers (Fishes, Jellyfishes, ...)
Self-propelled swimmers
Simualtions with Cartesian Meshes + Penalization + Level Set
3D Fish like swimming.
another 3D Ray Swimming.
aaquarium.
Wind turbine.
Drag minimization of the cylinder wake in laminar regime
Natural uncontrolled flow. Cd=1.40 [video 7.2Mo]
Workshop on POD [more details]
Others
Photos (restricted access)