The Geo-Fluids project is supported scientifically and financially by the Agence Nationale de la Recherche (French research agency) [ ANR ], through the call "Programme systemes complexes et modelisation mathematique" (complex systems and mathematical modeling program) [SYSCOMM].
The project Geo-FLUIDS focuses on the potential to extract quantitative fluid flow information from image sequences and to design adapted tools for analyzing these flows. Geo-FLUIDS aims at providing image-based methods using physically consistent models to extract meaningful features describing the observed flow and to unveil the dynamical properties of this flow. The main targeted application concerns fluid flows analysis for geophysical sciences.
The project mainly relies on data assimilation strategies and on motion measurement techniques. From a mathematical point of view, the techniques involved are either stochastic or variational. In this project, the deterministic variational framework will be mainly explored. Nevertheless, we aim at introducing proper uncertainty models built from adequate stochastic processes in order to specify adequately dynamical model errors possibly learned from the data, observation uncertainty and scales disparity occurring between the image data space and the state variables of interest.
Geo-FLUIDS shall combine methodological researches with an ability to conduct proper intensive experimental validations on prototype flows mastered in laboratories, test-based computer turbulent flows, benchmarks constructed from geophysical flow simulation based on routinely used models and real world satellite images.