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Mostrando ítems 1-10 de 24
Artículo
Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012-08-14)
We propose a finite element discretization of the Navier–Stokes equations that relies on the variational multi-scale approach together with the addition of a Smagorinsky type viscosity, in order to take into account ...
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
On a certified Smagorinsky reduced basis turbulence model
(Society for Industrial and Applied Mathematics, 2017)
In this work we present a reduced basis Smagorinsky turbulence model for steady flows. We approximate the nonlinear eddy diffusion term using the empirical interpolation method (cf. [M. A. Grepl et al., ESAIM Math. Model. ...
Artículo
Analysis of numerical stability of algebraic oceanic turbulent mixing layer models
(Elsevier, 2014-05-10)
In this paper, we study the stability of oceanic turbulent mixing layers by the finite element method with respect to perturbations of the data. We prove that the equilibria states depend continuously on the data, and ...
Artículo
Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
(ScienceDirect, 2020-02-03)
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are involved. We take into account in this problem ...
Artículo
A posteriori variational multiscale methods for the 1D convection-diffusion equations
(Académie des Sciences, 2023-06-09)
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the 21st century” conference held in Tours in 1997 honouring the 60th birthday of Roland ...
Capítulo de Libro
Numerical solution of a Laplace equation with data in L1
(Universidad de Zaragoza, 2003)
In this work, we address the numerical solution of the Laplace equation with data in L1 by IP1 finite element schemes. Even if this is a simple problem, its analysis is difficult and requires new tools because finite ...
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
Assessment of self-adapting local projection-based solvers for laminar and turbulent industrial flows
(Springer, 2018-06)
In this work, we study the performance of some local projection-based solvers in the Large Eddy Simulation (LES) of laminar and turbulent flows governed by the incompressible Navier–Stokes Equations (NSE). On one side, we ...
Artículo
A High-Order Local Projection Stabilization Method for Natural Convection Problems
(Springer, 2017-06-05)
In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural convection problems. This method replaces the projection-stabilized structure of standard LPS ...