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Artículo
Stability of some turbulent vertical models for the ocean mixing boundary layer
(Elsevier, 2008-02)
We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.
Artículo
A variational finite element model for Large-Eddy simulations of turbulent flows
(Springer, 2013-09)
We introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering operation in its variational form, for a given triangulation {Th}h>0. The eddy viscosity is expressed ...
Artículo
A model for two coupled turbulent fluids. Part II: numerical analysis of a spectral discretization
(Society for Industrial and Applied Mathematics, 2002)
We consider a system of equations that models the stationary flow of two immiscible turbulentfluids on adjacentsubdomains. The equations are coupled by nonlinear boundary conditions on the interface which is here a fixed ...
Artículo
Numerical modelling of algebraic closure models of oceanic turbulent mixing layers
(EDP Sciences, 2010)
We introduce in this paper some elements for the mathematical and numerical analysis of algebraic turbulence models for oceanic surface mixing layers. In these models the turbulent diffusions are parameterized by means of ...
Artículo
Analysis of the hydrostatic approximation in oceanography with compression term
(EDP Sciences, 2000)
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain ...
Artículo
A comparison of three turbulence models with an application to the West Pacific Warm Pool
(2007)
In this work, we compare three turbulence models used to parameterize the oceanic boundary layer. These three models depend on the bulk Richardson number, which is coherent with the studied region, the West Pacific Warm ...
Artículo
Numerical modeling of buoyant turbulent mixing layers
(Sociedad Española de Matemática Aplicada, 2008)
We introduce in this paper some elements for the mathematical and numerical analysis of turbulence models for oceanic surface mixing layers. In these models the turbulent diffusions are parameterized by means of the ...
Artículo
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
(World Scientific Publishing, 2009-07)
We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow ...