Author profile: Chacón Rebollo, Tomás
Institutional data
Name | Chacón Rebollo, Tomás |
Department | Ecuaciones Diferenciales y Análisis Numérico |
Knowledge area | Análisis Matemático |
Professional category | Catedrático de Universidad |
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Statistics
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No. publications
81
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No. visits
10754
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No. downloads
15291
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PhD Thesis
Some applications of reduced order modelling to slow-fast dynamical systems, turbulence models and elliptic PDEs
(2024)
En las últimas décadas, el progreso tecnológico ha elevado el rol de las simulaciones numéricas a ser una herramienta ... |
Article
A posteriori variational multiscale methods for the 1D convection-diffusion equations
(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 ... |
Article
Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations
(2023)
In this work, we introduce a variational multi-scale (VMS) method for the numerical approximation of parabolic problems, ... |
Article
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows
(Elsevier, 2022)
This article presents error bounds for a velocity–pressure segregated POD reduced order model discretization of the ... |
PhD Thesis
Reduced Basis Method applied to the Smagorinsky Turbulence Model
(2022)
This PhD dissertation addresses the numerical simulation of models that simulate the behavior of turbulent flows through ... |
Article
Low-rank approximations for parametric non-symmetric elliptic problems
(Frontiers Media, 2022)
In this study, we obtained low-rank approximations for the solution of parametric non-symmetric elliptic partial differential ... |
Article
Modelling of surface and inner wall temperatures in the analysis of courtyard thermal performances in Mediterranean climates
(Taylor & Francis, 2021)
Courtyards are an effective passive strategy for improving the energy performance of buildings. However, there is a lack ... |
Article
A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations
(Elsevier, 2021)
In this paper, we propose to improve the stabilized POD-ROM introduced in [48] to deal with the numerical simulation of ... |
Article
Modelling of surface and inner wall temperatures in the analysis of courtyard thermal performances in Mediterranean climates
(Taylor and Francis, 2021)
Courtyards are an effective passive strategy for improving the energy performance of buildings. However, there is a lack ... |
Article
Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
(ScienceDirect, 2020)
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a ... |
Chapter of Book
Low rank approximation of multidimensional data
(Springer, 2019)
In the last decades, numerical simulation has experienced tremendous improvements driven by massive growth of computing ... |
Final Degree Project
Aspectos básicos de la modelización matemática y numérica de los medios continuos
(2019)
The main purpose of this paper is the construction and treatment of equations that are useful in Continuum Mechanichs from ... |
Article
Recursive POD expansion for the advection-diffusion-reaction equation
(Global Science Press, 2018)
This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use ... |
Article
Computational modeling of Gurney flaps and microtabs by POD method
(MDPI, 2018)
Gurney flaps (GFs) and microtabs (MTs) are two of the most frequently used passive flow control devices on wind turbines. ... |
PhD Thesis
Development of reduced numeric models to aero-thermal flows in buildings
(2018)
Esta tesis se enmarca dentro de la resoluci_on num_erica de modelos que simulan el comportamiento de ujos turbulentos ... |
Article
Assessment of self-adapting local projection-based solvers for laminar and turbulent industrial flows
(Springer, 2018)
In this work, we study the performance of some local projection-based solvers in the Large Eddy Simulation (LES) of laminar ... |
Article
A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems
(Society for Industrial and Applied Mathematics, 2018)
We introduce a new algorithm of proper generalized decomposition (PGD) for parametric symmetric elliptic partial differential ... |
Article
A High-Order Local Projection Stabilization Method for Natural Convection Problems
(Springer, 2017)
In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural ... |
Article
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 ... |
Article
Recursive POD expansion for reaction-diffusion equation
(Springer Open, 2016)
This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, ... |
Article
Error bounds for POD expansions of parameterized transient temperatures
(Elsevier, 2016)
We focus on the convergence analysis of the POD expansion for the parameterized solutionof transient heat equations. The ... |
Article
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. ... |
Article
Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method
(Oxford University Press, 2016)
A finite element error analysis of a local projection stabilization (LPS) method for the time-dependent Navier–Stokes ... |
Presentation
Reduced basis method for the Smagorinsky model
(2016)
We present a reduced basis Smagorinsky model. This model includes a non-linear eddy diffusion term that we have to treat ... |
Article
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure
(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 ... |
Article
A reduced discrete inf-sup condition in Lp for incompressible flows and application
(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 ... |
Article
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 ... |
Article
Numerical analysis of a finite element projection-based VMS turbulence model with wall laws
(Elsevier, 2014)
This paper deals with the numerical analysis of a finite element projection-based VMS turbulence model that includes general ... |
Article
Analysis of numerical stability of algebraic oceanic turbulent mixing layer models
(Elsevier, 2014)
In this paper, we study the stability of oceanic turbulent mixing layers by the finite element method with respect to ... |
PhD Thesis
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)
La presente tesis aborda el modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional ... |
Article
On the existence and asymptotic stability of solutions for unsteady mixing-layer models
(AIMS, 2014)
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing ... |
Article
Stabilization of a non standard FETI-DP mortar method for the Stokes problem
(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 ... |
Article
A multilayer method for the hydrostatic Navier-Stokes equations: a particular weak solution
(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 ... |
Article
Numerical investigation of algebraic oceanic turbulent mixing-layer models
(Copernicus Publications, 2013)
In this paper we investigate the finite-time and asymptotic behaviour of algebraic turbulent mixing-layer models by numerical ... |
Article
A variational finite element model for Large-Eddy simulations of turbulent flows
(Springer, 2013)
We introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering ... |
Article
A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean
(Elsevier, 2013)
We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational ... |
Article
Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012)
We propose a finite element discretization of the Navier–Stokes equations that relies on the variational multi-scale ... |
Article
A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation
(Springer, 2012)
We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via ... |
Presentation
Proyectar arquitecturas de transición desde una investigación objetiva
(FYCMA, 2012)
El patio es un elemento característico de la arquitectura tradicional mediterránea, en el que se consigue crear unas buenas ... |
Presentation |
Article
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 ... |
Article
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 ... |
Article
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
(World Scientific Publishing, 2009)
We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the ... |
Article
A posteriori error analysis for two non-overlapping domain decomposition techniques
(Elsevier, 2009)
This paper is devoted to the construction of fast solvers for penalty domain decomposition techniques, based upon a ... |
Article
A FETI method with a mesh independent condition number for the iteration matrix
(Elsevier, 2008)
We introduce a framework for FETI methods using ideas from the decomposition via Lagrange multipliers of H1 0 (Ω) derived ... |
Article
Stability of some turbulent vertical models for the ocean mixing boundary layer
(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. |
Article
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar.
(Elsevier, 2008)
In this paper, we introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. We ... |
Article
Mortar finite element discretization of a model coupling Darcy and Stokes equations
(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 ... |
Article
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 ... |
Presentation
Formulación de tipo Petrov-Galerkin de algunos métodos distributivos: Aplicación a las ecuaciones de Navier-Stokes
(2007)
En este trabajo estudiamos la resolución de las Ecuaciones de Navier-Stokes estacionarias mediante métodos distributivos ... |
Presentation
A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems
(2007)
We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the ... |
Presentation
Tratamiento asintótico de las condiciones de contorno para problemas de convección dominante
(2007)
En este trabajo realizamos un an alisis de paso al l mite singular en una ecuaci ón evolutiva de convecci ón-difusióon, ... |
Presentation
Aumento de la eficiencia de un método de descomposición de dominio mediante estimaciones a posteriori
(2007)
En este trabajo introducimos un método de descomposición de dominio sin solapamiento con penalización, que viene motivado ... |
Presentation
Algunos elementos para la construcción de un Método de Multiescala Variacional “a posteriori”
(2007)
El presente trabajo está dedicado a la resolución de problemas de la Mecánica de Fluidos incompresibles en régimen de ... |
Article
On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems
(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 ... |
Article
Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1
(Springer, 2007)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear ... |
Article
Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation
(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 ... |
Article
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 ... |
Presentation
Una perspectiva de los métodos distributivos y su aplicación a las ecuaciones de transporte de sedimentos
(Castellón : Universidad Jaime I, 2005)
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PhD Thesis |
PhD Thesis
Aproximación numérica de algunos flujos de interés en arquitectura e ingeniería mediante esquemas positivos en elementos finitos
(2004)
En esta memoria se trata varios aspectos del proceso de modelación numérica de sistemas físicos en el ámbito de la mecánica ... |
Chapter of Book
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 ... |
Chapter of Book
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. ... |
Article
An Entropy-correction free solver for non-homogeneous Shallow Water equations
(Dunod, 2003)
In this work we introduce an accurate solver for the Shallow Water equations with source terms. This scheme does not need ... |
PhD Thesis |
Presentation
Flux splitting solvers for shallow water equations with source terms
(2003)
In this work we study some finite volume methods for shallow water equations with source terms. We can find flux difference ... |
PhD Thesis
Aproximación numérica de las ecuaciones primitivas del océano mediante el método de los elementos finitos
(2002)
La Memoria trata sobre el análisis y resolución numérica del modelo de Ecuaciones Primitivas (EP) del Océano mediante el ... |
Article
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. ... |
Presentation |
PhD Thesis |
Article
An analysis technique for stabilized finite element solution of incompressible flows
(EDP Sciences, 2001)
This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed ... |
Article
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 ... |
Article
An efficient two-dimensional Vortex method with long time accuracy
(Society for Industrial and Applied Mathematics, 1996)
This paper deals with efficient techniques for the numerical solution of two-dimensional free-space incompressible Euler ... |
Article
Métodos de elementos finitos estabilizados para flujos de fluidos incompresibles
(Sociedad Española de Matemática Aplicada, 1996)
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Article
El complemento de productividad a debate
(Sociedad Española de Matemática Aplicada, 1994)
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Article
VI Escuela Hispano-Francesa sobre Simulación Numérica en Física e Ingeniería. Sevilla, España, 19-23 septiembre (1994)
(Sociedad Española de Matemática Aplicada, 1994)
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Article
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 ... |
Article
Helicity in turbulence modelling by homogenization
(Institut National de Recherche en Informatique et en Automatique, 1991)
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Article
Oscillations due to the transport of microstructures
(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 ... |
PhD Thesis
Contribución al estudio del modelo M.P.P. de turbulencia
(1984)
El modelo M.P.P. de turbulencia presenta una resolución formal del problema de cierre de Reynolds que expresa matemáticamente ... |