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.