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KALIFFE Research team

Kinetic models AppLIed for Future of Fusion Energy

  • Leader : Francis Filbet
  • Research center(s) : CRI Grenoble - Rhône-Alpes
  • Field : Digital Health, Biology and Earth
  • Theme : Earth, Environmental and Energy Sciences
  • Partner(s) : Université Claude Bernard (Lyon 1),CNRS

Team presentation

This project is devoted to the mathematical and numerical analysis of kinetic models, based on particle interactions (mean field interactions, microscopic collisions) issued from applications on plasma physics. On the one hand, we want to propose and analyze systematic numerical methods for nonlinear kinetic models which lead to some challenging difficulties as physical conservations, entropy properties and conservations of asymptotic regimes when dealing with multi-scales. On the other hand, we focus on applications to plasma physics and in particular to inertial confinement fusion and magnetic confinement fusion (tokamak for ITER), which are mainly high dimensional problems with multi-scales (collisionless plasmas, gyro-kinetic models for tokamak's plasma). - Moreover, for large time scales, collisions between particles can no longer be neglected and we have to take into account both Coulombian interactions and self-consistent electromagnetic fields in various physical regimes (transient and long time behavior). - Specific numerical schemes, called asymptotic preserving, will be proposed and analyzed for these various regimes. These topics require a deep understanding of modeling, mathematical properties of models and numerical methods.

Research themes

Design & Analysis of numerical schemes for nonlinear kinetic models

  • semi-lagrangian methods
  • construction and analysis of finite volume  schemes 

 

Derivation of fluid models from Kinetic Theory

  • high field limit
  • multi-species models

Application to plasma physics

International and industrial relations

We have several collaborations in Europe :

  1. Numerical Methods in Plasma Physics Division, Max Planck Institute Garching (Germany)
  2. Mathematics & Computer Science Department, University of Ferrara (Italy)
  3. Dipartimento di Matematica ed Informatica, Università di Catania (Italy)

 

In Asia

  1. Department of Mechanical Engineering and Science, Graduate School of Engineering,  Kyoto University, (Japan)
  2. Department of Mathematics, Harbin Institute of Technology, Harbin (China)

 

In North-America

  1. Division of Applied Mathematics, Brown University, Providence (USA)
  2. Department of Mathematics, University of Wisconsin, Madison (USA)

 

 

Keywords: Kinetic theory Plasmas fusion