Some fundamental problems of meteorology, oceanography, and fluid mechanics will be addressed. The areas to be covered include a) The open boundary conditions for limited domains simulations, b) The study of balanced and unbalanced models in atmosphere sciences, c) Statistical solutions of Navier-Stokes equations and turbulence. These problems will be addressed by a robust combination of advanced mathematical tools, and performant computational tools.
This study is aimed at improving, in the long range, the numerical simulations on computer of these phenomena whose understanding is essential for many problems in environment and energy. For instance problem a) is important for improving local weather predictions with applications including e.g. agriculture and aviation. Problems b) is important for understanding the large scale motion of the atmosphere; however the techniques used (averaging of oscillations) are also needed in many other fields, in particular biomathematics. Problems c) are more fundamental 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, with senior geophysicists directly involved in topics a) and b). The proposal has also a strong educational component (interdisciplinary training of graduate students and post docs).
