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
Atmospheric and Oceanic Physics
2017-05-08 v1
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.
Keywords
Cite
@article{arxiv.1705.02013,
title = {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},
author = {Maria Strazzullo and Renzo Mosetti},
journal= {arXiv preprint arXiv:1705.02013},
year = {2017}
}