Numerical methods and complex fluids

The “Numerical methods and complex fluids” team has three main lines of research:

  1. Numerical methods and mathematical modeling for PDE
  2. Modeling of physical phenomena
  3. Development of computing codes


Numerical methods and mathematical modeling for PDE

  • Mixed, nonconforming and stabilized finite element methods
  • Nitsche's, NXFEM and discontinuous Galerkin methods
  • Finite volume methods
  • Particle and hybrid grid-particle methods
  • Shape optimization and consideration of uncertainties
  • Stochastic optimization
  • Approximation and optimal gridding
  • Scientific computing and High-Performance Computing (HPC)


Modeling of physical phenomena

  • Mechanics of Newtonian and non-Newtonian fluids
  • Multiphase and reactive flow
  • Oil & gas engineering
  • Microfluidics in porous media
  • The environment and CO2 storage
  • Safety and storage of nuclear waste
  • Mathematics for medicine and biomechanics


Development of computing codes

  • Contribution to the Salome2 platform, Homogenizer++.