Wind driven 3D Navier-Stokes circulation in the Atlantic
For oceanographers and climate modelers, this offers a numerical approach to simulate wind-driven ocean circulation, but the contribution appears incremental.
The paper presents a finite element method for solving anisotropic Navier-Stokes equations in shallow domains, applied to wind-driven circulation in the North Atlantic. Results demonstrate the method's effectiveness but no concrete performance numbers are provided.
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.