Modeling, experiments, simulation and HPC

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Laboratory of Mathematics and its Applications of PAU (LMAP)
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Modeling, experiments, simulation and HPC

The “Modeling, experiments, simulation and HPC” team works on four main lines of research:

  1. Discretization methods for PDE
  2. Modeling of physical phenomena
  3. Experiences
  4. Development of computing codes

Discretization methods for PDE

  • Finite element methods for quadrilaterals and hexahedrons
  • Mixed and nonconforming finite element methods
  • Discontinuous Galerkin methods
  • Finite volume methods
  • Stabilized finite volume methods
  • Approximation and optimal gridding
  • Time-adaptive methods
  • Convergence of adaptive finite element methods

 

Modeling of physical phenomena

  • Wave propagation, Maxwell equations
  • Fluid mechanics, Navier-Stokes and Euler equations
  • Ferromagnetic Materials
  • Wave Guides

 

Experiences

  • Turbulent flows
  • Jet(s) in crossflow
  • Acoustic forcing
  • Particle image velocimetry (PIV)
  • Laser Doppler velocimetry
  • Laser Tomography

     

Development of computing codes

  • Aerosol ; Résolution d'écoulements par des méthodes éléments finis d'ordre élevé
  • Gar6more2D : analytical solutions for wave propagation in 2D
  • Gar6more2D : analytical solutions for wave propagation in 3D
  • Hou10ni : acoustic and elastic wave propagation simulations using Discontinuous Galerkine Method, in time- and in harmonic domains
  • Montjoie : solution of Partial Differential Equations using high order finite element methods