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CAIMAN Research team

Scientific computing, modeling and numerical analysis

  • Leader : Stéphane Lanteri
  • Research center(s) : CRI Sophia Antipolis - Méditerranée
  • Field : Numerical systems
  • Theme : Modeling, simulation and numerical analysis

Team presentation

The project-team aims at proposing new, efficient solutions for the numerical simulation of physical phenomena related to wave propagation (electromagnetics, acoustics, aeroacoustics, seismics,...) and complex flows in interaction (fluid-structure interactions, epitaxy,...). Scientific activities sweep a large range from physical modeling to design and analysis of numerical methods. A particular emphasis is put on their validation on realistic configurations and their algorithmic - possibly parallel - implementation.

Research themes

  • Wave propagation
    • We propose numerical methods based on finite volumes or discontinuous finite elements. These kind of approaches allow great modularity and can achieve high-accuracy with many kinds of meshes (unstructured grids, non-conforming grids, locally refine grids,...).
    • These methods are mainly developed for problems solved in the time domain with explicit time-schemes. We are also considering extensions towards implicit time schemes with possible acceleration using domain decomposition, or towards the frequency domain.
    • Current applications relate to heterogeneous electromagnetics, acoustics, propagation of acoustic waves in a non-uniform steady compressible flow (aeroacoustics) and geophysics. We also study the coupling of the Maxwell system or the Poisson equation with the transport of charges in rarefied gases. The main application is the spatial environment of satellites.
  • Complex fluid dynamics
    • In fluid structure interaction, we study possible partitioned procedures for the transient solution of fluid-structure interactions, and more precisely the coupling in time between solvers for the fluid and the structure, aiming at constructing new, stable, and efficient algorithms (originally, applications to incompressible fluids were considered: wind engineering of structures and hemodynamics in biomedical engineering). These algorithms can be used also for time-subcycling by subdomain in wave propagation problems.
    • In more standard compressible CFD, we consider viscous fluids with complex state laws and solve Navier-Stokes equations based on a perfect gas law solver modified using a relaxation method.
    • We also apply the non-dissipative discontinuous Galerkin methods developed for wave propagation problems for the numerical investigation of aeroacoustic instabilies in shear flows.

International and industrial relations

Indutrial contracts with EADS, Alcatel Space, France Telecom R&D, CEA. Collaborations with ONERA, ENST, universities of Nice and Provence, Cermics and CMAP (Ecole Polytechnique).

Keywords: Modeling Numerical simulation Wave propagation Computational fluid dynamics Fluid-structure interactions Discontinuous finite elements Parallel computing Domain decomposition