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CALVI Research team

Scientific computation and visualization

  • Leader : Philippe Helluy
  • Research center(s) : CRI Nancy - Grand Est
  • Field : Applied Mathematics, Computation and Simulation
  • Theme : Computational models and simulation
  • Partner(s) : CNRS,Université de Strasbourg,Université de Lorraine

Team presentation

The project-team is devoted to the mathematical and numerical study as well as to the visualization of different problems arizing mostly form plasma physics and beam physics. One major difficulty in these applications is the existence of multiple scales and the large size. Therefore an important effort regarding modeling and development of simulation and visualization methods is needed. The project involves applied mathematicians and computer scientists specialized in parallel computing and visualization with strong links to plasma physicists.

Research themes

  • Modeling - Derivation and justification of reduced models

    Among the most accurate models used in plasma physics are the Vlasov-Maxwell equations along with some collisional effects. However the Vlasov equation is defined in the 6 dimensional phase space. Hence it is very hard to perform numerical simulations of the full Vlasov-Maxwell model. Therefore, much effort needs to be devoted to the derivation of a reduced model well adapted to a specific problem.

  • Development of simulation tools

    One of the main objectives of the project is to develop robust and efficient simulation and visualization tools for plasma physics and beam physics, with a special emphasis to grid based methods for the Vlasov equation involving adaptivity and complex geometries.

  • Large size problems

    The large size of the problems at hand requires advanced mathematical and computational methods which are hard to implement. We are in particular interested to the efficient parallelization on a large number of processors of methods based on grids evolving with time.

  • Visualisation of fluids and plasmas

    Very little effort has been devoted up to now to the scientific visualization of data defined in the 6 dimensional phase space. We are looking for new concepts in this area.

International and industrial relations

  • Member of the european Research and Training Network HYKE on kinetic and hyperbolic equations
  • Collaborations with the universities of Stuttgart (Germany), Barcelona (Spain) and the Lawrence Berkeley National Laboratory (USA).
  • Industrial contracts with CEA Bruyères-Le-Châtel.