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ANGE Research team

Numerical Analysis, Geophysics and Environment

Team presentation

The research activities carried out within the ANGE team strongly couple the development of methodological tools with the applications to real-life problems and the transfer of numerical codes. Even if the definition of the scientific program is more problem-driven by challenging applications than methodology-driven, it is fundamental to keep at each step a rigorous approach and mathematical justifications of the proposed results. The difficulties arising in geophysics are threefold 1- The models and equations encountered in fluid mechanics (typically the free surface Navier-Stokes equations) are complex to analyze and solve. 2- This first feature is reinforced by the fact that the considered phenomena often take place over large domains with very heterogeneous length scales (size of the domain, mean depth, wave length\ldots) and different time periods e.g. coastal erosion, propagation of a tsunami,... 3- Last but not least, these problems are multi-physics with strong couplings and nonlinearities.

Research themes

The modeling, the analysis and the simulation of geophysical flows are complex and challenging topics and these issues have been given an extensive coverage in applied research and engineering. But the growing importance of sustainable development issues coupled with the complexity of the problems arising in geophysics imply to go further than the classical Shallow Water type systems. Typically, we focus on gravity driven flows such as 1- hazardous flows (flooding, rogue waves, landslides\ldots), 2- sustainable energies (hydrodynamics-biology coupling, biofuel production, marine energies...), 3- risk management and land-use planning (morphodynamic evolutions, early warning systems...). As suggested by the preceding list, this is an extensive field. For these multi-scale and multi-physics systems, the difficulty is often to isolate a reduced-size problem for which mathematical modeling and simulation can bring significant benefits.

Keywords: Partial differential equations Hyperbolic systems Fluid mechanics Free sur- face flows Geophysics Environment Ecology Natural hazards Sustainable energies