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arXiv · 1705.02013

FEniCS Application to a Finite Element Quasi-Geostrophic Model. Linear and non-linear analysis of Munk-like Solutions and Data Assimilation Implementation Through Adjoint Method

Maria Strazzullo·Renzo Mosetti
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Abstract

The first aim of this work is to construct a Finite Elements model for quasi-geostrophic equation. This model is analyzed through FEniCS interface. As a second purpose, it shows the potential of the control theory to treat Data Assimilation large scale problems. In section one the finite element approximation of the quasi-geostrophic model is described. In section two some numerical results on different domains are shown. In section three a comparison between Navier Stokes model and quasi-geostrophic one is discussed. Last section is dedicated to a more complex data assimilation/control problem based on quasi-geostrophic equations, to test possible developments and improvements.

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Maria Strazzullo, Renzo Mosetti. 2017-04-12. FEniCS Application to a Finite Element Quasi-Geostrophic Model. Linear and non-linear analysis of Munk-like Solutions and Data Assimilation Implementation Through Adjoint Method. https://arxiv.org/abs/1705.02013

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