Research
interests
[more
details]
Mathematical modelling - Reduced
Order Models - Numerical Simulations -
Optimization and control - Stability
Analysis...
... Toward multiphysics applications
(Windtubine, UAVs, Boat Propellers, Fluid-Structures Interaction, Bioinspiration)
... Toward multiphysics applications
(Windtubine, UAVs, Boat Propellers, Fluid-Structures Interaction, Bioinspiration)
Mathematical modelling
- Multiphysics models
Flow analysis and control
[BB2022] [IJNMF2020] [PRE2018] [JCP2018b] [JCP2018a] [JCP2016] [B&B2014] [CICP14] [JCP11] [JESA11] [IJNMF10] [JCP09] [JCP08] [MI07] [NNFM07] [POF06a] [POF06b] [POF05]
- Reaction-diffusion equations
[SISC2022] [CNME08]
Reduced Order Models (ROM)
- Proper Orthogonal Decomposition (POD)
Analysis and control
[JCP21b] [JESA11] [IJNMF10] [JCP09] [JCP08] [MI07] [NNFM07] [POF05]
Optimal Eddy viscosity, non-equilibrium modes, SUPG, VMS, Optimal Sampling
[JESA11] [JCP09] [JCP08] [POF05]
- Asymptotic methods
[CNME08]
Numerical Simulations
- Finite Element Method
2D, Delaunay Triangulation
[POF05] [POF06a] [POF06b] - Finite Volume, Multigrid Method
2D,Cartesian Meshes with penalization
[JCP09]
Quadtrees/Octrees
[JCP22b]
- Finite Differences with projection
methods
3D, 2nd order, Cartesian Grids, Immersed Boundary, Level Set
Development of the code NaSCar (see movies)
[IJNMF2020] [PRE2018] [JCP2018b] [JCP2018a] [JCP2016][JCP2016][JCP2016] [B&B2014] [CICP13][JCP11] - ADER Method
Overset grids
[JCP2022a] [SISC2022]
Optimization and Control
- Dual adjoint methods / optimal control
& robust control LQR
Drag reduction
[POF05] [NNFM07] [MI07] [JCP08] - DNS & POD + trust region (TRPOD)
Drag Reduction
[JCP08] [NNFM07] - Artificial neural networks, genetic
algorithms, inverse methods
Control and estimation of the ignition point of forest fire
[CNME08]
Deep Learning
[IJHFF23]
Stability Analysis
- Reduced Order Models
[JESA11] - Sedimentation of bodies
Self-Propelled Swimmers (fish,jellyfish,ray,knifefish)
Control of Self-propelled swimmers (maneuvers, velocity regulation)
Fluid Structures Interactions (elastic structures)
Windturbine (NREL 10-m testing in NASA Ames wind Tunnel)
Boat propeller (laminar and turbulent)
Boat (interface air/water/boat, triple line)
Sedimentation of bodies (Lubrication/collision models in 2D and 3D)
Instabilities (Rayleigh-Taylor, Rayleigh-Plateau)
Self Propelled Swimmers

3D fish like swimming of a real mackerel fish
(obtained from actual pictures with optimal transportation)

Knifefish swimming

Aquiarium.

Dolphin jump

Snake swimming.
Control of fish like swimming

Velocity regulation by proportional control on the tail amplitude and frequency.

Fish manoeuver
Proportional control with mean curvature adaptation.



Numerical simulations of several fishes with collision in a fixed domain or in a porous enclosure.
Fluid Structure Interactions

Elastic Body
The water snake can extract wave Energy.
Strong implicit coupling.

Inertial Sea Wave Energy Converter.
The wave energy is converted with a gyrospospe animated with the body motion.

Oscillation of an elastic structure under gravity and flow induced vibrations (low Reynolds number).

Oscillation of an (eulerian) elastic membrane and flow creation

Pump based on an elastic membrane.

Shock in an incompressible elastic material
Windturbines

Entire windturbine with blades and mast

Accurate simulation of the blades.
Boat propellers

Laminar.

Tubulent.
Boat

Sedimentation of bodies
Some instabilities

3D fish like swimming of a real mackerel fish
(obtained from actual pictures with optimal transportation)
![]() Jellyfish like swimming |
![]() Ray fish like swimming |

Knifefish swimming

Aquiarium.

Dolphin jump

Snake swimming.
Control of fish like swimming

Velocity regulation by proportional control on the tail amplitude and frequency.

Fish manoeuver
Proportional control with mean curvature adaptation.



Numerical simulations of several fishes with collision in a fixed domain or in a porous enclosure.
Fluid Structure Interactions

Elastic Body
The water snake can extract wave Energy.
Strong implicit coupling.

Inertial Sea Wave Energy Converter.
The wave energy is converted with a gyrospospe animated with the body motion.

Oscillation of an elastic structure under gravity and flow induced vibrations (low Reynolds number).

Oscillation of an (eulerian) elastic membrane and flow creation

Pump based on an elastic membrane.

Shock in an incompressible elastic material
Windturbines

Entire windturbine with blades and mast

Accurate simulation of the blades.
Boat propellers

Laminar.

Tubulent.
Boat

Sedimentation of bodies
![]() Rebound of a sphere on a wall. (lubrification + repulsion forces) |
![]() Sedimentation of several particules (spheres). (lubrification + repulsion forces and torques) |
Some instabilities
![]() Rayleigh-Taylor Densiity ratio is 3. |
![]() Rayleigh-Plateau Curvature limitation (mesh size) to allow 2D instability. |