Modelling and analysis

• Fluid closure in plasmas: Modelling and numerical studies of closure relations: Branginskii, limited flux, non-local closure

• Turbulence: Large scale simulation (LES), variational multiscale, entropy viscosity, spectral vanishing viscosity
• Other models: Drift velocity approximation, Reduced MHD
• Coupling Equilibrium and Transport: 2D-Equilibrium + 1D Transport coupling
• Halo currents: 3D current in the resistive wall in case of disruption

Numerical methods and simulations

• High order methods: Curvilinear spectal methods, high order finite element methods, C1 methods
• Toroidal geometry, discretization methods in curvilinear coordinates
• Pressure correction scheme:Adaptation of methods usually used  for incompressible flow approximation
• Anisotropy: Anisotropic mesh adaptation, adapted discretization (maximum principle)
• HPC: ITER diameter: 4m, Larmor radius of ions  : 1e-3 m

Identification and control

• Inverse problems: Real time equilibrium reconstruction with  pressure anisotropy and new diagnostics

• Open loop control:Determination of the voltages and heating parameters determination to optimize a discharge
• Feedback control of the plasma current profile

Applications

• ELMs (Edge Localized Modes)
• Edge plasma: X-point configuration and bi-fluids models
• Optimization of scenarii: Free boundary equilibrium evolution coupled with transport
• Ionospheric plasma: Data assimilation for a coupled transport+ electric potential model