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SIMPAF Research team

SImulations and Modeling for PArticles and Fluids

  • Leader : Antoine Gloria
  • Research center(s) : CRI Lille - Nord Europe
  • Field : Applied Mathematics, Computation and Simulation
  • Theme : Computational models and simulation
  • Partner(s) : Université des sciences et technologies de Lille (Lille 1),CNRS
  • Collaborator(s) : U. LILLE 1 (USTL), CNRS

Team presentation

The SIMPAF project-team aims at:
  • Studying models that describe the evolution of a fluid and/or of a large number of particles;
  • Discussing the relevance and the range of validity of these models;
  • Analyzing connections between different levels of modelling;
  • Developing efficient numerical methods to compute the solutions of such problems.

Research themes

The scientific activity of the project-team is therefore concerned with PDEs arising from the physical description of a large number of particles and/or fluids.

By nature these problems describe multiscaled phenomena and one of the major difficulties when studying them lies in the interactions between the various scales:
number of particles, size, different time and length scales, coupling... The originality of the team is to consider a wide spectrum of potential applications: Charged particles (semi-conductor devices or plasmas), Photons (radiative transfer), Neutrons (nuclear engineering), Bacteries, individuals or genes (biology or population dynamics), Planets or stars (astrophysics), Vehicles (traffic flow), Droplets and bubbles (combustion, industrial process in metallurgy)...

Modelling mathematically complex physical phenomena requires a deep discussion of the leading phenomena and the role of the physical parameters. With this respect, the asymptotic analysis is a crucial issue, the goal being to derive reduced models which can be solved with a reduced numerical cost and still provide accurate results in the physical situations that are considered. The mathematical analysis of the equations then provides important qualitative properties of the solutions: well-posedness, stability, smoothness of the solutions, large time behavior... which in turn can motivate the design of numerical methods.
Eventually, we aim at developing specific numerical methods and performing numerical simulations for these models, in order to validate the theoretical results and shed some light on the physics.

International and industrial relations

Simpaf project-team has strong scientific relations with Serge Nicaise, Luc Paquet (Valenciennes), Laurent Desvillettes (CMLA, ENS Cachan), Laurent Boudin (Labo. J.-L. Lions, Paris 6), Bertrand Maury et Jacques Laminie (Univ. Paris 11).

National relations:
- X. Antoine (Inria Nancy)
- C.-H. Bruneau, Th. Colin, I. Mortazavi (MAB Bordeaux et projet MC2-INRIA Futurs)
- P. Degond, F. Filbet (MIP, Toulouse)
- F. Golse, F. Coquel (Labo. J.-L. Lions, Paris 6-7)
- M. Bostan (Besançon)
- F. Castella, F. Méhats (IRMAR Rennes)
- S. Cordier, S. Mancini, F. James (MAPMO Orléans)
- S. Descombes, S. Benzoni (Univ. Lyon 1)
- M. Massot (Ecole Centrale Paris)
- ENSAM and ENIM Metz

International Relations:
- J. A. Carrillo (ICREA--UAB, Barcelona)
- J. Soler et M.-J. Caceres, J. Nieto, O. Sanchez (Granada)
- N. Mauser, P. Markowich, Ch. Schmeiser (Wolfgang Pauli Insitute, Vienna)
- R. Natalini (CNR, IAC, Roma)
- P. Secchi (Università di Brescia)
- P. Parris, A. Silvius (University of Missouri)
- E. Zahrouni (Monastir)
- I. Gamba, A. Mellet, A. Vasseur (University of Texas at Austin)
- F. Otto (MPI Leipzig)