Modeling, analysis and simulation of geophysical/environmental flows are complex and challenging topics. These issues have been given an extensive coverage in applied research and engineering. The growing importance of sustainable development issues and the complexity of the problems arising in geosciences imply to go further than the classic models among which there are the shallow water type systems. Once models and efficient numerical discretisation techniques have been proposed, the study of past events is important but a crucial point is to be able to use subtle simulation tools for forecasting and optimisation.

Applied mathematics for geosciences is a very large domain: to restrict the range of investigation, we have limited ourselves to gravity driven flows and environmental flows. The research activities carried out within ANGE strongly couple the development of methodological tools with the applications to real-life problems and the transfer of numerical codes to end-users. A strong point of the team is the wide range of skills of its members, from analysis to scientific computing and geophysics. Among all the aspects of geosciences, we mainly focus on gravity driven flows arising in many situations such as:

  • hazardous flows (flooding, rogue waves, landslides, …)
  • sustainable energies (hydrodynamics-biology coupling, marine energies, …)
  • risk management and land-use planning (morphodynamic evolutions, early warning systems, …)

Our core activity is split into three components, that are briefly described in subsequent tabs.

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Mathematical and numerical analysis

Models derived within the team to deal with complex flows must be first analysed to ensure existence and uniqueness of solutions and to determine their smoothness and their time interval of existence. If the theory of hyperbolic conservation laws is extensively addressed in the literature, multilayer or dispersive models exhibit a more complex structure. Hence …


Models and equations encountered in geosciences (typically the free surface Navier-Stokes equations) are very complex to analyse and solve. For multi-scale and multi-physics systems, a key point is often to derive reduced complexity models for which mathematical/numerical analysis and simulation can bring significant benefits. This is a strong point of the team and it is …

Scientific computing and data processing

Scientific computing – as it is considered within ANGE – is the development of numerical tools for the efficient implementation and simulation of the models we had proposed and analysed. This is clearly related to the mathematical and numerical analysis of the considered models but, scientific computing has further characteristics: in most projects of this …