Wind driven 3D Navier-Stokes circulation in the Atlantic
Numerical Analysis
2012-07-03 v1
Abstract
A finite element method for the numerical solution of the anisotropic Navier-Stokes equations in shallow domain is presented. This method take into account aspect ratio in the hydrostatic approximation of the Navier-Stokes equations \cite{beslay,azthese,azgui}. A projection method \cite{guermond,shen} is used for the time discretization. The linear systems are solved via a some preconditioned conjugate algorithm, well adapted to massively parallel computers \cite{julien_these,julien_precond,julien_precond_paral}. Some results are presented for the wind driven water circulation in the North Atlantic.
Cite
@article{arxiv.1207.0486,
title = {Wind driven 3D Navier-Stokes circulation in the Atlantic},
author = {Olivier Besson and Julien Straubhaar},
journal= {arXiv preprint arXiv:1207.0486},
year = {2012}
}