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Mostrando ítems 1-10 de 63
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
Analysis of a coupled fluid-structure model with applications to hemodynamics
(Society for Industrial and Applied Mathematics, 2016)
We propose and analyze a simplified fluid-structure coupled model for flows with compliant walls. As in [F. Nobile and C. Vergara, SIAM J. Sci. Comput., 30 (2008), pp. 731-763], the wall reaction to the fluid is modeled ...
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.
Ponencia
A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems
(2007-09)
We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the classical iterative method of Uzawa to obtain a non overlapping domain decomposition method that ...
Artículo
Recursive POD expansion for the advection-diffusion-reaction equation
(Global Science Press, 2018-11)
This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, ...
Artículo
Un método de elementos finitos incondicionalmente estable en norma uniforme para resolver las ecuaciones de Euler 2D
(Universitat Politècnica de Catalunya, 1993)
Este trabajo presenta dos algoritmos de tipo transporte e interpolación con Elementos Finitos para la resolución numérica de las ecuaciones de Euler para flujos incompresibles bidimensionales en todo el espacio IR2. En la ...
Capítulo de Libro
Well-balanced Finite Volume schemes: some stability and convergence results
(Universidad de Zaragoza, 2003)
We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady ...
Artículo
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows
(Elsevier, 2022-08-30)
This article presents error bounds for a velocity–pressure segregated POD reduced order model discretization of the Navier–Stokes equations. The stability is proven in L∞(L2) and energy norms for velocity, with bounds that ...
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 ...