Computational and Theoretical Problems in Fluid Mechanics, Meteorology and Oceanography

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Some fundamental problems of meteorology, oceanography, and fluidmechanics will be addressed. The areas to be covered include a) The openboundary conditions for limited domains simulations, b) The study ofbalanced and unbalanced models in atmosphere sciences, c) Statisticalsolutions of Navier-Stokes equations and turbulence. These problems willbe addressed by a robust combination of advanced mathematical tools, andperformant computational tools. This study is aimed at improving, in the long range, the numericalsimulations on computer of these phenomena whose understanding isessential for many problems in environment and energy. For instanceproblem a) is important for improving local weather predictions withapplications including e.g. agriculture and aviation. Problems b) isimportant for understanding the large scale motion of the atmosphere;however the techniques used (averaging of oscillations) are also needed inmany other fields, in particular biomathematics. Problems c) are morefundamental in nature, they pertain to the understanding of turbulence,that is a serious impediment in many studies on energy (and environment).By its nature the proposal has a strong interdisciplinary component, withsenior geophysicists directly involved in topics a) and b). The proposalhas also a strong educational component (interdisciplinary training ofgraduate students and post docs).