Wind driven 3D Navier-Stokes circulation in the Atlantic

TL;DR

This paper introduces a finite element method for simulating wind-driven 3D Navier-Stokes circulation in the Atlantic, incorporating aspect ratio considerations and efficient parallel computation techniques.

Contribution

It presents a novel finite element approach with aspect ratio considerations and a parallelizable projection method for modeling Atlantic circulation.

Findings

Successful simulation of wind-driven circulation in the North Atlantic

Efficient solution of linear systems using preconditioned conjugate algorithms

Validation of the method with realistic oceanographic data

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.