NombreChacón Rebollo, Tomás
DepartamentoEcuaciones Diferenciales y Análisis Numérico
Área de conocimientoAnálisis Matemático
Categoría profesionalCatedrático de Universidad
Correo electrónicoSolicitar
           
  • Nº publicaciones

    79

  • Nº visitas

    9555

  • Nº descargas

    14357


 

Artículo
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A posteriori variational multiscale methods for the 1D convection-diffusion equations

Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Gómez Mármol, María Macarena (Académie des Sciences, 2023)
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational ...
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Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations

Chacón Rebollo, Tomás; Moreno López, David; Sánchez Muñoz, Isabel María (2023)
In this work, we introduce a variational multi-scale (VMS) method for the numerical approximation of parabolic problems, ...
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Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows

Chacón Rebollo, Tomás; Rubino, Samuele; Oulghelou, Mourad; Allery, Cyrille (Elsevier, 2022)
This article presents error bounds for a velocity–pressure segregated POD reduced order model discretization of the ...
Tesis Doctoral
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Reduced Basis Method applied to the Smagorinsky Turbulence Model

Caravaca García, Cristina; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (2022)
This PhD dissertation addresses the numerical simulation of models that simulate the behavior of turbulent flows through ...
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Low-rank approximations for parametric non-symmetric elliptic problems

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (Frontiers Media, 2022)
In this study, we obtained low-rank approximations for the solution of parametric non-symmetric elliptic partial differential ...
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Modelling of surface and inner wall temperatures in the analysis of courtyard thermal performances in Mediterranean climates

López Cabeza, Victoria Patricia; Carmona Molero, F.J.; Rubino, Samuele; Rivera Gómez, Carlos Alberto; Fernández Nieto, Enrique Domingo; Galán-Marín, Carmen; Chacón Rebollo, Tomás (Taylor & Francis, 2021)
Courtyards are an effective passive strategy for improving the energy performance of buildings. However, there is a lack ...
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A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations

Azaïez, Mejdi; Chacón Rebollo, Tomás; Rubino, Samuele (Elsevier, 2021)
In this paper, we propose to improve the stabilized POD-ROM introduced in [48] to deal with the numerical simulation of ...
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Modelling of surface and inner wall temperatures in the analysis of courtyard thermal performances in Mediterranean climates

López Cabeza, Victoria Patricia; Carmona Molero, F.J.; Rubino, Samuele; Rivera Gómez, Carlos Alberto; Fernández Nieto, Enrique Domingo; Galán-Marín, Carmen; Chacón Rebollo, Tomás (Taylor and Francis, 2021)
Courtyards are an effective passive strategy for improving the energy performance of buildings. However, there is a lack ...
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Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height

Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena; Rozza, Gianluigi (ScienceDirect, 2020)
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a ...
Capítulo de Libro
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Low rank approximation of multidimensional data

Azaïez, Mejdi; Lestandi, Lucas; Chacón Rebollo, Tomás (Springer, 2019)
In the last decades, numerical simulation has experienced tremendous improvements driven by massive growth of computing ...
Trabajo Fin de Grado
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Aspectos básicos de la modelización matemática y numérica de los medios continuos

Pérez Martínez, Susana; Chacón Rebollo, Tomás (2019)
The main purpose of this paper is the construction and treatment of equations that are useful in Continuum Mechanichs from ...
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Recursive POD expansion for the advection-diffusion-reaction equation

Azaïez, Majdi; Chacón Rebollo, Tomás; Perracchione, Emma; Vega de Prada, José Manuel (Global Science Press, 2018)
This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use ...
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Computational modeling of Gurney flaps and microtabs by POD method

Fernández Gamiz, Unai; Gómez Mármol, María Macarena; Chacón Rebollo, Tomás (MDPI, 2018)
Gurney flaps (GFs) and microtabs (MTs) are two of the most frequently used passive flow control devices on wind turbines. ...
Tesis Doctoral
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Development of reduced numeric models to aero-thermal flows in buildings

Delgado Ávila, Enrique; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (2018)
Esta tesis se enmarca dentro de la resoluci_on num_erica de modelos que simulan el comportamiento de ujos turbulentos ...
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Assessment of self-adapting local projection-based solvers for laminar and turbulent industrial flows

Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena; Rubino, Samuele (Springer, 2018)
In this work, we study the performance of some local projection-based solvers in the Large Eddy Simulation (LES) of laminar ...
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A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems

Azaïez, Majdi; Ben Belgacem, Faker; Casado Díaz, Juan; Chacón Rebollo, Tomás; Murat, François (Society for Industrial and Applied Mathematics, 2018)
We introduce a new algorithm of proper generalized decomposition (PGD) for parametric symmetric elliptic partial differential ...
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A High-Order Local Projection Stabilization Method for Natural Convection Problems

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Hecht, Frédéric; Rubino, Samuele; Sánchez Muñoz, Isabel María (Springer, 2017)
In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural ...
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On a certified Smagorinsky reduced basis turbulence model

Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena; Ballarin, Francesco; Rozza, Gianluigi (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 ...
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Recursive POD expansion for reaction-diffusion equation

Azaïez, Majdi; Ben Belgacem, Faker; Chacón Rebollo, Tomás (Springer Open, 2016)
This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, ...
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Error bounds for POD expansions of parameterized transient temperatures

Azaïez, Majdi; Ben Belgacem, Faker; Chacón Rebollo, Tomás (Elsevier, 2016)
We focus on the convergence analysis of the POD expansion for the parameterized solutionof transient heat equations. The ...
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Analysis of a coupled fluid-structure model with applications to hemodynamics

Chacón Rebollo, Tomás; Girault, Vivette; Murat, François; Pironneau, Olivier (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. ...
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Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method

Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele (Oxford University Press, 2016)
A finite element error analysis of a local projection stabilization (LPS) method for the time-dependent Navier–Stokes ...
Ponencia
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Reduced basis method for the Smagorinsky model

Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena (2016)
We present a reduced basis Smagorinsky model. This model includes a non-linear eddy diffusion term that we have to treat ...
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Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure

Bernardi, Christine; Chacón Rebollo, Tomás (Society for Industrial and Applied Mathematics, 2015)
We consider the Stokes and Navier–Stokes equations with boundary conditions of Dirichlet type on the velocity on one part ...
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A reduced discrete inf-sup condition in Lp for incompressible flows and application

Chacón Rebollo, Tomás; Girault, Vivette; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (EDP Sciences, 2015)
In this work, we introduce a discrete specific inf-sup condition to estimate the Lp norm, 1 <p< +∞, of the pressure in a ...
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A review of variational multiscale methods for the simulation of turbulent incompressible flows

Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele (Springer, 2015)
Various realizations of variational multiscale (VMS) methods for simulating turbulent incompressible flows have been ...
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Numerical analysis of a finite element projection-based VMS turbulence model with wall laws

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (Elsevier, 2014)
This paper deals with the numerical analysis of a finite element projection-based VMS turbulence model that includes general ...
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Analysis of numerical stability of algebraic oceanic turbulent mixing layer models

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (Elsevier, 2014)
In this paper, we study the stability of oceanic turbulent mixing layers by the finite element method with respect to ...
Tesis Doctoral
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Numerical modelling of turbulence by Richardson number-based and VMS models / Modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional

Rubino, Samuele; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (2014)
La presente tesis aborda el modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional ...
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On the existence and asymptotic stability of solutions for unsteady mixing-layer models

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (AIMS, 2014)
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing ...
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Stabilization of a non standard FETI-DP mortar method for the Stokes problem

Chacón Vera, Eliseo; Chacón Rebollo, Tomás (EDP Sciences, 2014)
In a recent paper [E. Chacón Vera and D. Franco Coronil, J. Numer. Math. 20 (2012) 161–182.] a non standard mortar method ...
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A multilayer method for the hydrostatic Navier-Stokes equations: a particular weak solution

Fernández Nieto, Enrique Domingo; Koné, El Hadji; Chacón Rebollo, Tomás (Ed. Plenum Press, 2014)
In this work we present a mutilayer approach to the solution of non-stationnary 3D Navier-Stokes equations. We use piecewise ...
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Numerical investigation of algebraic oceanic turbulent mixing-layer models

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (Copernicus Publications, 2013)
In this paper we investigate the finite-time and asymptotic behaviour of algebraic turbulent mixing-layer models by numerical ...
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A variational finite element model for Large-Eddy simulations of turbulent flows

Chacón Rebollo, Tomás; Lewandowski, Roger (Springer, 2013)
We introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering ...
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A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (Elsevier, 2013)
We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational ...
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Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations

Bernardi, Christine; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (Sociedad Española de Matemática Aplicada, 2012)
We propose a finite element discretization of the Navier–Stokes equations that relies on the variational multi-scale ...
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A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation

Bernardi, Christine; Chacón Rebollo, Tomás; Restelli, Marco (Springer, 2012)
We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via ...
Ponencia
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Proyectar arquitecturas de transición desde una investigación objetiva

Sánchez de la Flor, Francisco José; Álvarez Domínguez, Servando; Fernández Nieto, Enrique Domingo; Chacón Rebollo, Tomás; Rojas Fernández, Juan Manuel; Galán-Marín, Carmen (FYCMA, 2012)
El patio es un elemento característico de la arquitectura tradicional mediterránea, en el que se consigue crear unas buenas ...
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Theoretical and numerical results on modeling of oceanic turbulent mixing layers

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (2012)
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Numerical modelling of algebraic closure models of oceanic turbulent mixing layers

Bennis, Anne-Claire; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Lewandowski, Roger (EDP Sciences, 2010)
We introduce in this paper some elements for the mathematical and numerical analysis of algebraic turbulence models for ...
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An iterative procedure to solve a coupled two-fluids turbulence model

Chacón Rebollo, Tomás; Pino, Stéphane del; Yakoubi, Driss (EDP Sciences, 2010)
This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an ...
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Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations

Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger (World Scientific Publishing, 2009)
We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the ...
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A posteriori error analysis for two non-overlapping domain decomposition techniques

Bernardi, Christine; Chacón Rebollo, Tomás; Chacón Vera, Eliseo; Franco Coronil, Daniel (Elsevier, 2009)
This paper is devoted to the construction of fast solvers for penalty domain decomposition techniques, based upon a ...
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A FETI method with a mesh independent condition number for the iteration matrix

Bernardi, Christine; Chacón Rebollo, Tomás; Chacón Vera, Eliseo (Elsevier, 2008)
We introduce a framework for FETI methods using ideas from the decomposition via Lagrange multipliers of H1 0 (Ω) derived ...
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Stability of some turbulent vertical models for the ocean mixing boundary layer

Bennis, Anne-Claire; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Lewandowski, Roger (Elsevier, 2008)
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.
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Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar.

Castro Díaz, Manuel Jesús; Chacón Rebollo, Tomás; Fernández Nieto, Enrique Domingo; González Vida, José Manuel; Parés Madroñal, Carlos (Elsevier, 2008)
In this paper, we introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. We ...
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Mortar finite element discretization of a model coupling Darcy and Stokes equations

Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida (EDP Sciences, 2008)
As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and ...
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Numerical modeling of buoyant turbulent mixing layers

Bennis, Anne-Claire; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Lewandowski, Roger (Sociedad Española de Matemática Aplicada, 2008)
We introduce in this paper some elements for the mathematical and numerical analysis of turbulence models for oceanic ...
Ponencia
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Formulación de tipo Petrov-Galerkin de algunos métodos distributivos: Aplicación a las ecuaciones de Navier-Stokes

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Narbona Reina, Gladys (2007)
En este trabajo estudiamos la resolución de las Ecuaciones de Navier-Stokes estacionarias mediante métodos distributivos ...
Ponencia
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A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems

Bernardi, Christine; Chacón Rebollo, Tomás; Chacón Vera, Eliseo (2007)
We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the ...
Ponencia
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Tratamiento asintótico de las condiciones de contorno para problemas de convección dominante

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (2007)
En este trabajo realizamos un an alisis de paso al l mite singular en una ecuaci ón evolutiva de convecci ón-difusióon, ...
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Aumento de la eficiencia de un método de descomposición de dominio mediante estimaciones a posteriori

Bernardi, Christine; Chacón Rebollo, Tomás; Chacón Vera, Eliseo; Franco Coronil, Daniel (2007)
En este trabajo introducimos un método de descomposición de dominio sin solapamiento con penalización, que viene motivado ...
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Algunos elementos para la construcción de un Método de Multiescala Variacional “a posteriori”

Chacón Rebollo, Tomás; Domínguez Delgado, Antonio (2007)
El presente trabajo está dedicado a la resolución de problemas de la Mecánica de Fluidos incompresibles en régimen de ...
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On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems

Chacón Rebollo, Tomás; Fernández Nieto, Enrique Domingo; Parés Madroñal, Carlos (Society for Industrial and Applied Mathematics, 2007)
In this work we introduce a general family of finite volume methods for non-homogeneous hyperbolic systems with non-conservative ...
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Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1

Casado Díaz, Juan; Chacón Rebollo, Tomás; Girault, Vivette; Gómez Mármol, María Macarena; Murat, François (Springer, 2007)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear ...
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Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Narbona Reina, Gladys (World Scientific Publishing, 2007)
We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow ...
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A comparison of three turbulence models with an application to the West Pacific Warm Pool

Bennis, Anne-Claire; Gómez Mármol, María Macarena; Lewandowski, Roger; Chacón Rebollo, Tomás; Brossier, Françoise (2007)
In this work, we compare three turbulence models used to parameterize the oceanic boundary layer. These three models depend ...
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Una perspectiva de los métodos distributivos y su aplicación a las ecuaciones de transporte de sedimentos

Chacón Rebollo, Tomás; Narbona Reina, Gladys (Castellón : Universidad Jaime I, 2005)
Tesis Doctoral
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Estudio de un modelo de turbulencia compresible obtenido mediante técnicas de homogeneización

Sánchez Muñoz, Isabel María; Gómez Mármol, María Macarena; Chacón Rebollo, Tomás (2005)
Tesis Doctoral
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Aproximación numérica de algunos flujos de interés en arquitectura e ingeniería mediante esquemas positivos en elementos finitos

Narbona Reina, Gladys; Chacón Rebollo, Tomás (2004)
En esta memoria se trata varios aspectos del proceso de modelación numérica de sistemas físicos en el ámbito de la mecánica ...
Capítulo de Libro
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Well-balanced Finite Volume schemes: some stability and convergence results

Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Fernández Nieto, Enrique Domingo; Palacios Latasa, Manuel Pedro; Trujillo, David; Torrens Iñigo, Juan José; Madaune-Tort, Monique; López de Silanes Busto, María Cruz; Sanz Sáiz, Gerardo (Universidad de Zaragoza, 2003)
We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems ...
Capítulo de Libro
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Numerical solution of a Laplace equation with data in L1

Casado Díaz, Juan; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Girault, Vivette; Murat, François; Palacios Latasa, Manuel Pedro; Trujillo, David; Torrens Iñigo, Juan José; Madaune-Tort, Monique; López de Silanes Busto, María Cruz; Sanz Sáiz, Gerardo (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. ...
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An Entropy-correction free solver for non-homogeneous Shallow Water equations

Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Fernández Nieto, Enrique Domingo (Dunod, 2003)
In this work we introduce an accurate solver for the Shallow Water equations with source terms. This scheme does not need ...
Tesis Doctoral
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Aproximación numérica de leyes de consevación hiperbólicas no homogéneas aplicación a las ecuaciones de aguas someras

Fernández Nieto, Enrique Domingo; Chacón Rebollo, Tomás; Domínguez Delgado, Antonio (2003)
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Flux splitting solvers for shallow water equations with source terms

Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Fernández Nieto, Enrique Domingo (2003)
In this work we study some finite volume methods for shallow water equations with source terms. We can find flux difference ...
Tesis Doctoral
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Aproximación numérica de las ecuaciones primitivas del océano mediante el método de los elementos finitos

Rodríguez Gómez, David; Chacón Rebollo, Tomás (2002)
La Memoria trata sobre el análisis y resolución numérica del modelo de Ecuaciones Primitivas (EP) del Océano mediante el ...
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A model for two coupled turbulent fluids. Part II: numerical analysis of a spectral discretization

Bernardi, Christine; Chacón Rebollo, Tomás; Lewandowski, Roger; Murat, François (Society for Industrial and Applied Mathematics, 2002)
We consider a system of equations that models the stationary flow of two immiscible turbulentfluids on adjacentsubdomains. ...
Ponencia
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Analysis of a non overlapping domain decomposition method for stokes equations

Chacón Rebollo, Tomás; Chacón Vera, Eliseo (2001)
Tesis Doctoral
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Modelado de la turbulencia localmente homogénea mediante técnicas de homogeneización

Franco Coronil, Daniel; Chacón Rebollo, Tomás (2001)
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An analysis technique for stabilized finite element solution of incompressible flows

Chacón Rebollo, Tomás (EDP Sciences, 2001)
This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed ...
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Analysis of the hydrostatic approximation in oceanography with compression term

Chacón Rebollo, Tomás; Lewandowski, Roger; Chacón Vera, Eliseo (EDP Sciences, 2000)
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography ...
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An efficient two-dimensional Vortex method with long time accuracy

Bless Ranero, Ibrahim; Chacón Rebollo, Tomás (Society for Industrial and Applied Mathematics, 1996)
This paper deals with efficient techniques for the numerical solution of two-dimensional free-space incompressible Euler ...
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Métodos de elementos finitos estabilizados para flujos de fluidos incompresibles

Chacón Rebollo, Tomás (Sociedad Española de Matemática Aplicada, 1996)
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El complemento de productividad a debate

Casas Rentería, Eduardo; Chacón Rebollo, Tomás (Sociedad Española de Matemática Aplicada, 1994)
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Un método de elementos finitos incondicionalmente estable en norma uniforme para resolver las ecuaciones de Euler 2D

Chacón Rebollo, Tomás; Bless Ranero, Ibrahim (Universitat Politècnica de Catalunya, 1993)
Este trabajo presenta dos algoritmos de tipo transporte e interpolación con Elementos Finitos para la resolución numérica ...
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Helicity in turbulence modelling by homogenization

Chacón Rebollo, Tomás; Franco Coronil, Daniel; Ortegón Gallego, Francisco (Institut National de Recherche en Informatique et en Automatique, 1991)
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Oscillations due to the transport of microstructures

Chacón Rebollo, Tomás (Society for Industrial and Applied Mathematics, 1988)
The aim of this paper is to report some improvements and some numerical tests of a model for convection of microstructures ...
Tesis Doctoral
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Contribución al estudio del modelo M.P.P. de turbulencia

Chacón Rebollo, Tomás; Valle Sánchez, Antonio (1984)
El modelo M.P.P. de turbulencia presenta una resolución formal del problema de cierre de Reynolds que expresa matemáticamente ...