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Tesis Doctoral
Numerical modelling of turbulence by Richardson number-based and VMS models / Modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional
(2014-04-02)
La presente tesis aborda el modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional (VMS). En la primera parte, nos centramos en los modelos basados en el número de Richardson, que ...
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
A review of variational multiscale methods for the simulation of turbulent incompressible flows
(Springer, 2015)
Various realizations of variational multiscale (VMS) methods for simulating turbulent incompressible flows have been proposed in the past fifteen years. All of these realizations obey the basic principles of VMS methods: ...
Artículo
An iterative procedure to solve a coupled two-fluids turbulence model
(EDP Sciences, 2010)
This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic ...
Artículo
An efficient two-dimensional Vortex method with long time accuracy
(Society for Industrial and Applied Mathematics, 1996-08)
This paper deals with efficient techniques for the numerical solution of two-dimensional free-space incompressible Euler equations. We develop an algorithm for fast computation of velocity in a vortex method based upon ...
Capítulo de Libro
Low rank approximation of multidimensional data
(Springer, 2019)
In the last decades, numerical simulation has experienced tremendous improvements driven by massive growth of computing power. Exascale computing has been achieved this year and will allow solving ever more complex problems. ...
Artículo
On the existence and asymptotic stability of solutions for unsteady mixing-layer models
(AIMS, 2014-02-15)
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing layers. We consider Richardson-number based vertical eddy diffusion models. We prove the existence ...
Artículo
A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation
(Springer, 2012-05)
We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via a fluctuation splitting algorithm. We prove a posteriori error estimates which allow us to perform ...
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 ...