• J. Baiges, R. Codina, I. Castañar, E. Castillo
    Comput. Methods Appl. Mech. Engrg., (2019). (prepint) pp. 1-14

    Abstract
    In this work a reduced order model based on adaptive finite element meshes and a correction term obtained by using an artificial neural network (FAN-ROM) is presented. The [...]

  • O. Guasch, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2013). Vol. 261-262, pp. 145-166

    Abstract
    Abstract Numerical simulations have proved that Variational Multiscale Methods (VMM) perform well as pure numerical large eddy simulation (LES) models. In this paper we focus [...]

  • O. Zienkiewicz, K. Morgan, B. Sai, R. Codina, M. Vasquez
    Int. J. Numer. Meth. Fluids (1995). Vol. 20 (8-9), pp. 887-913

    Abstract
    The algorithm introduced in Part I of this paper is applied in its explicit form to a variety of problems in order to demonstrate its wide range of applicability and excellent [...]

  • O. Jou Devesa, M. Celigueta, S. Latorre, F. Arrufat, E. Oñate
    Computational Particle Mechanics (2019). Vol. 6 (4), pp 739–765

    Abstract
    This work investigates the failure patterns of ice cakes and floe-icewhen loaded by amoving and sloping structure (ice-breaking ships and cones). In the paper, we introduce [...]

  • Ö. Türk, R. Codina
    Applied Numerical Mathematics (2019). (preprint) Vol. 145, pp. 188-200

    Abstract
    Numerical solution strategies for the Stokes eigenvalue problem based on the use of penalty formulations are investigated in this study. It is shown that the penalty method [...]

  • L. Moreno García, R. Codina, J. Baiges, E. Castillo
    Comput. Methods Appl. Mech. Engrg., (2019). Vol. 354, pp. 706-731

    Abstract
    The log-conformation reformulation, originally proposed by Fattal and Kupferman (2004), allows computing incompressible viscoelastic problems with high Weissenberg numbers [...]

  • E. Castillo, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2019). Vol. 349, pp. 701-721

    Abstract
    In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic term-by-term stabilized finite element formulation for [...]

  • G. Barrenechea, E. Castillo, R. Codina
    Journal of Numerical Analysis (2019). Vol. 39 (2), pp. 792-819

    Abstract
    In this article we analyse a stabilized finite element formulation recently proposed to approximate viscoelastic fluid flows. The formulation has shown to have accuracy and [...]

  • C. Bayona, J. Baiges, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2019). Vol. 344, pp. 1073-1103

    Abstract
    In this work we solve the compressible Navier–Stokes equations written in primitive variables in order to simulate low Mach number aeroacoustic [...]

  • A. Pont, O. Guasch, J. Baiges, R. Codina, A. Hirtum
    Int. J. Numer. Meth. Biomed. Engng (2019). Vol. 35 (1), e3153

    Abstract
    A sibilant fricative /s/ is generated when the turbulent jet in the narrow channel between the tongue blade and the hard palate is deflected downwards through the space between [...]

  • S. Komala, R. Codina
    Int. J. Numer. Meth. Heat and Fluid Flows (2018). Vol. 28 (11), pp. 2688-2715

    Abstract
    Purpose This paper aims to present a finite element formulation to approximate systems of reaction–diffusion–advection equations, focusing on cases with nonlinear [...]

  • A. Aguirre, E. Castillo, M. Cruchaga, R. Codina, J. Baiges
    Journal of Non-Newtonian Fluid Mechanics (2018). Vol. 257, pp. 22-43

    Abstract
    In this work, a variational multiscale finite element formulation is used to approximate numerically the lid-driven cavity flow problem for high Reynolds numbers. For Newtonian [...]

  • Sociedad Española de Matemática Aplicada (2018). Vol. 75 (4), pp. 591-606

    Abstract
    This work analyzes some aspects of the hp convergence of stabilized finite element methods for the convection-diffusion equation when diffusion is small. The methods [...]

  • C. Bayona, R. Codina, J. Baiges
    Comput. Methods Appl. Mech. Engrg., (2018). Vol. 337, pp. 501-526

    Abstract
    This article investigates an explicit a-posteriori error estimator for the finite element approximation of the compressible Navier–Stokes equations. [...]

  • A. Pont, R. Codina, J. Baiges, O. Guasch
    Journal of Computational Physics (2018). Vol. 363, pp. 11-29

    Abstract
    The high computational cost of solving numerically the fully compressible Navier–Stokes equations, together with the poor performance of most numerical formulations [...]

  • Q. Schmid, Y. Mesri, E. Hachem, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2018). Vol. 335, pp. 69-90

    Abstract
    In this work, we present a computational approach for the numerical simulation of thermal radiation. Radiation is modeled by solving a set of two coupled partial [...]

  • C. Bayona, J. Baiges, R. Codina
    Int. J. Numer. Meth. Fluids (2018). Vol. 86 (5), pp. 313-328

    Abstract
    A numerical approximation for the one‐dimensional Burgers equation is proposed by means of the orthogonal subgrid scales–variational multiscale (OSGS‐VMS) method. [...]

  • Comput. Methods Appl. Mech. Engrg., (2017). Vol. 325, pp. 37-55

    Abstract
    In this work we present a general error estimator for the finite element solution of solid mechanics problems based on the Variational Multiscale method. [...]

  • Comput. Methods Appl. Mech. Engrg., (2017). Vol. 110 (13), pp. 1203-1226

    Abstract
    The need for remeshing when computing flow problems in domains suffering large deformations has motivated the implementation of a tool that allows the proper transmission [...]

  • E. Castillo, R. Codina
    Mathematical Models and Methods in Applied Sciences (2017). Vol. 51 (4), pp. 1407-1427

    Abstract
    In this paper we present the numerical analysis of a three-field stabilized finite element formulation recently proposed to approximate viscoelastic flows. The three-field [...]

  • J. Baiges, R. Codina, A. Pont, E. Castillo
    Comput. Methods Appl. Mech. Engrg., (2017). Vol. 313, pp. 159-188

    Abstract
    In this work we present a Fixed-Mesh ALE method for the numerical simulation of free surface flows capable of using an adaptive finite element mesh covering a background [...]

  • E. Castillo, R. Codina
    Computers & Fluids (2017). Vol. 142, pp. 72-78

    Abstract
    In this paper, a three-field finite element stabilized formulation for the incompressible viscoelastic fluid flow problem is tested numerically. Starting from a residual based [...]

  • L. Yang, S. Badia, R. Codina
    Computational Mechanics (2016). Vol. 58 (6), pp. 1051-1069

    Abstract
    In this work, we design an explicit time-stepping solver for the simulation of the incompressible turbulent flow through the combination of VMS methods and artificial compressibility. [...]

  • O. Guasch, P. Sánchez-Martín, A. Pont, J. Baiges, R. Codina
    Int. J. Numer. Meth. Fluids (2016). Vol. 82, pp. 839-857

    Abstract
    The acoustic perturbation equations (APE) are suitable to predict aerodynamic noise in the presence of a non‐uniform mean flow. As for any hybrid computational aeroacoustics [...]

  • Ö. Türk, D. Boffi, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2016). Vol. 310, pp. 886-905

    Abstract
    In this paper, the stabilized finite element approximation of the Stokes eigenvalue problems is considered for both the two-field (displacement–pressure) [...]

  • C. Bayona, J. Baiges, R. Codina
    Int. J. Numer. Meth. Heat and Fluid Flows (2016). Vol. 26 (3-4), pp. 1240-1271

    Abstract
    Purpose The purpose of this paper is to apply the variational multi-scale framework to the finite element approximation of the compressible Navier-Stokes equations written [...]

  • O. Guasch, A. Pont, J. Baiges, R. Codina
    Computers and Fluids (2016). Vol. 133, pp. 129-139

    Abstract
    The computation of flow-induced noise at low Mach numbers usually relies on a two-step hybrid methodolgy. In the first step, an incompressible fluid dynamics simulation (CFD) [...]

  • O. Guasch, M. Arnela, R. Codina, H. Espinoza
    Acta Acustica united with Acustica (2016). (preprint) Vol. 102, pp. 94-106

    Abstract
    Working with the wave equation in mixed rather than irreducible form allows one to directly account for both, the acoustic pressure field and the acoustic particle velocity [...]

  • E. Castillo, J. Baiges, R. Codina
    Journal of Non-Newtonian Fluid Mechanics (2015). Vol. 225, pp. 37-53

    Abstract
    The numerical simulation of complex flows has been a subject of intense research in the last years with important industrial applications in many fields. In this paper we [...]

  • H. Espinoza, R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2015). Vol. 296, pp. 295-326

    Abstract
    In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, [...]

  • E. Hachem, S. Feghali, T. Coupez, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2015). Vol. 104 (7), pp. 566-584

    Abstract
    We propose a full Eulerian framework for solving fluid‐structure interaction (FSI) problems based on a unified formulation in which the FSIs are modelled by introducing [...]

  • Int. J. Numer. Meth. Engng. (2015). Vol. 104 (7), pp. 624-654

    Abstract
    In this work, we propose a method to prescribe essential boundary conditions in the finite element approximation of elliptic problems when the boundary of the computational [...]

  • R. Codina, J. Principe, C. Muñoz, J. Baiges
    Int. J. Numer. Meth. Fluids (2015). Vol. 79 (2), pp. 84-107

    Abstract
    In this paper, we describe a numerical model to simulate the evolution in time of the hydrodynamics of water storage tanks, with particular emphasis on the time evolution [...]

  • S. Badia, R. Codina, R. Planas
    Archives of Comp. Meths. Engng. (2015). Vol. 22 (4), pp. 621-636

    Abstract
    In this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this [...]

  • M. Ávila, R. Codina, R. Planas
    Int. J. Numer. Meth. Heat and Fluid Flows (2015). Vol. 25, pp. 1361-1384

    Abstract
    Purpose – The purpose of this paper is to present a finite element approximation of the low Mach number equations coupled with radiative equations to account for radiative [...]

  • E. Castillo, R. Codina
    Journal of Computational Physics (2015). Vol. 296, pp. 113-137

    Abstract
    In this paper, three different fractional step methods are designed for the three-field viscoelastic flow problem, whose variables are velocity, pressure and [...]

  • O. Colomés, S. Badia, R. Codina, J. Principe
    Comput. Methods Appl. Mech. Engrg., (2015). Vol. 285, pp. 32-63

    Abstract
    In this work we study the performance of some variational multiscale models (VMS) in the large eddy simulation (LES) of turbulent flows. We consider VMS models obtained by [...]

  • Computers and Fluids (2015). Vol. 107, pp. 141-154

    Abstract
    In this work we present a numerical model for the estimation of atmospheric seeing in observation sites. The particularity of the method is that it is based on a Variational [...]

  • E. Castillo, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2014). Vol. 279, pp. 579-605

    Abstract
    In this paper, three-field finite element stabilized formulations are proposed for the numerical solution of incompressible viscoelastic flows. These methods allow one to [...]

  • E. Castillo, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2014). Vol. 279, pp. 554-578

    Abstract
    The three-field (stress–velocity–pressure) mixed formulation of the incompressible Navier–Stokes problem can lead to two different types of numerical instabilities. [...]

  • S. Badia, R. Codina, H. Espinoza
    SIAM J. Numer. Anal. (2014). Vol. 52 (4), pp. 1729-1752

    Abstract
    In this paper we propose two stabilized finite element methods for different functional frameworks of the wave equation in mixed form. These stabilized finite element [...]

  • M. Ávila, R. Codina, J. Principe
    Computers and Fluids (2014). Vol. 99, pp. 44-66

    Abstract
    Objective: In this article we study the approximation to thermal turbulence from a strictly numerical point of view, without the use of any physical model. The main goal is [...]

  • H. Espinoza, R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2014). Vol. 276, pp. 122-148

    Abstract
    In this paper we develop numerical approximations of the wave equation in mixed form supplemented with non-reflecting boundary conditions (NRBCs) of Sommerfeld-type on artificial [...]

  • S. Badia, R. Codina, T. Gudi, J. Guzmán
    IMA Journal of Numerical Analysis (2014). Vol. 34 (2), pp. 800-819

    Abstract
    In this article, we analyse several discontinuous Galerkin (DG) methods for the Stokes problem under minimal regularity on the solution. We assume that the velocity u belongs [...]

  • R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2013). Vol. 263, pp. 158-168

    Abstract
    The objective of this paper is to present a new framework for the design of discontinuous Galerkin (dG) methods for elliptic problems. The idea is to start from a hybrid formulation [...]

  • E. Hachem, S. Feghali, R. Codina, T. Coupez
    Int. J. Numer. Meth. Engng. (2013). Vol. 94 (9), pp. 805-825

    Abstract
    This paper presents advancements toward a monolithic solution procedure and anisotropic mesh adaptation for the numerical solution of fluid–structure interaction with [...]

  • E. Hachem, S. Feghali, R. Codina, T. Coupez
    Computers and Structures (2013). Vol. 122, pp. 88-100

    Abstract
    This paper presents a monolithic formulation framework combined with an anisotropic mesh adaptation for fluid–structure interaction (FSI) applications with complex geometry. [...]

  • Int. J. Numer. Meth. Engng. (2013). Vol. 93 (6), pp. 664-684

    Abstract
    In this paper, we apply the variational multiscale method with subgrid scales on the element boundaries to the problem of solving the Helmholtz equation with low‐order finite [...]

  • S. Badia, R. Codina, R. Planas
    Journal of Computational Physics (2013). Vol. 234, pp. 399-416

    Abstract
    In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this [...]

  • J. Baiges, R. Codina, F. Henke, S. Shahmiri, W. Wall
    Int. J. Numer. Meth. Engng. (2012). Vol. 90 (5), pp. 636-658

    Abstract
    In this paper, we propose a way to weakly prescribe Dirichlet boundary conditions in embedded finite element meshes. The key feature of the method is that the algorithmic [...]

  • H. Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2012). Vol. 69 (1), pp. 52-72

    Abstract
    In this work we explore a velocity correction method that introduces the splitting at the discrete level. In order to do so, the algebraic continuity equation is transformed [...]

  • S. Badia, R. Codina
    SIAM J. Numer. Anal. (2012). Vol. 50 (2), pp. 398-417

    Abstract
     A new mixed finite element approximation of Maxwell's problem is proposed, its main features being that it is based on a novel augmented formulation of the continuous [...]

  • S. Badia, R. Codina
    Applied Numerical Mathematics (2012). Vol. 62 (4) pp. 246-263

    Abstract
    In this work we propose stabilized finite element methods for Stokesʼ, Maxwellʼs and Darcyʼs problems that accommodate any interpolation of velocities and pressures. We [...]

  • S. Badia, R. Codina
    Applied Mathematics and Computation (2011). Vol. 218 (8), pp. 4276-4294

    Abstract
    Continuous Galerkin formulations are appealing due to their low computational cost, whereas discontinuous Galerkin formulation facilitate adaptative mesh refinement and are [...]

  • J. Baiges, R. Codina, H. Coppola-Owen
    Int. J. Numer. Meth. Fluids (2011). Vol. 67 (8), pp. 1004-1023

    Abstract
    In this paper, we propose a method to solve the problem of floating solids using always a background mesh for the spatial discretization of the fluid domain. The main feature [...]

  • M. Ávila, J. Principe, R. Codina
    Journal of Computational Physics (2011). Vol. 230, pp. 7988-8009

    Abstract
    In this work we propose a variational multiscale finite element approximation of thermally coupled low speed flows. The physical model is described by the low Mach number [...]

  • Int. J. Numer. Meth. Engng. (2011). Vol. 87 (1-5), pp. 386-411

    Abstract
    Terms involving jumps of stresses on boundaries are proposed for the finite element approximation of the Stokes problem and the linear elasticity equations. These terms are [...]

  • B. Schrefler, R. Codina, F. Pesavento, J. Principe
    Int. J. Numer. Meth. Engng. (2010). Vol. 87 (1-5), pp. 361-385

    Abstract
      In this work we present the progress in the development of an algorithm for the simulation of thermal fluid–structural coupling in a tunnel fire. The coupling [...]

  • Int. J. Numer. Meth. Engng. (2009). Vol. 81 (12), pp. 1529-1557

    Abstract
    In this paper we propose a method to solve Solid Mechanics and fluid–structure interaction problems using always a fixed background mesh for the spatial discretization. [...]

  • H. Coppola-Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2011). Vol. 66 (7), pp. 833-851

    Abstract
    The simulation of low Froude number mould filling problems on fixed meshes presents significant difficulties. As the Froude number decreases, the coupling between the position [...]

  • R. Planas, S. Badia, R. Codina
    Journal of Computational Physics (2011). Vol. 230 (8), pp. 2977-2996

    Abstract
    In this work, we present a stabilized formulation to solve the inductionless magnetohydrodynamic (MHD) problem using the finite element (FE) method. The MHD [...]

  • R. Codina, N. Hernández-Silva
    Journal of Computational Physics (2011). Vol. 230 (4), pp. 1281-1303

    Abstract
    A numerical formulation to solve the MHD problem with thermal coupling is presented in full detail. The distinctive feature of the method is the design of the stabilization [...]

  • M. Ávila, R. Codina, J. Principe
    Comput. Methods Appl. Mech. Engrg., (2011). Vol. 200 (5-8), pp. 425-438

    Abstract
    In this paper we present stabilized finite element methods to discretize in space the monochromatic radiation transport equation. These methods are based on the decomposition [...]

  • S. Badia, R. Codina, J. Gutiérrez-Santacreu
    SIAM J. Numer. Anal. (2010). Vol. 48 (3), pp. 1013-1037

    Abstract
    Variational multiscale methods lead to stable finite element approximations of the NavierStokes equations, both dealing with the indefinite nature of the system (pressure [...]

  • R. Codina, J. Principe, M. Ávila
    Int. J. Numer. Meth. Heat and Fluid Flow (2010). Vol. 20 (5), pp. 492-516

    Abstract
    The objective of this work is to describe a variational multiscale finite element approximation for the incompressible Navier-Stokes equations using the Boussinesq approximation [...]

  • S. Badia, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2010). vol. 199 (25-28), pp. 1654-1667

    Abstract
    We design stabilized methods based on the variational multiscale decomposition of Darcy's problem. A model for the subscales is designed by using a heuristic Fourier analysis. [...]

  • J. Principe, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199 (21-22), pp. 1386-1402

    Abstract
    In this paper we revisit the definition of the stabilization parameter in the finite element approximation of the convection–diffusion–reaction equation. The starting [...]

  • J. Principe, R. Codina, F. Henke
    Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199 (13-16), pp. 791-801

    Abstract
    In this paper, we present a precise definition of the numerical dissipation for the orthogonal projection version of the variational multiscale method for incompressible flows. [...]

  • R. Codina, J. Baiges, D. Pérez-Sánchez, M. Collados
    Computers and Fluids (2010). Vol. 39 (1), pp. 87-98

    Abstract
    We present a numerical formulation to compute optical parameters in a turbulent air flow. The basic numerical formulation is a large eddy simulation (LES) of the incompressible [...]

  • Int. J. Numer. Meth. Engng. (2009). Vol. 80 (11), pp. 1379-1405

    Abstract
    We analyze several possibilities to prescribe boundary conditions in the context of immersed boundary methods. As basic approximation technique we consider the finite element [...]

  • O. Guasch, R. Codina
    Journal of Computational Acoustics (2009). Vol. 17 (3), pp. 309-330

    Abstract
    A methodology to perform computational aeroacoustics (CAA) of viscous low speed flows in the framework of stabilized finite element methods is presented. A hybrid CAA procedure [...]

  • J. Principe, R. Codina
    Adv. Theor. Appl. Mech. (2009). Vol. 2 (2), pp. 93-112

    Abstract
    In this paper we review and clarify some aspects of the asymptotic analysis of the compressible Navier Stokes equations in the low Mach number limit. In the absence of heat [...]

  • S. Badia, R. Codina
    SIAM J. Numer. Anal. (2009). Vol. 47 (3), pp. 1971-2000

    Abstract
    In this paper we propose stabilized finite element methods for both Stokes' and Darcy's problems that accommodate any interpolation of velocities and pressures. Apart [...]

  • J. Principe, R. Codina
    Int. J. Numer. Meth. Fluids (2009). Vol. 59 (11), pp. 1181-1201

    Abstract
    In this article we analyze the problem of the thermal coupling of fluids and solids through a common interface. We state the global thermal problem in the whole domain, including [...]

  • S. Badia, R. Codina
    Applied Mathematics and Computation (2009). Vol. 207 (2), pp. 415-433

    Abstract
    In this article, we analyze some residual-based stabilization techniques for the transient Stokes problem when considering anisotropic time–space discretizations. [...]

  • R. Codina, G. Houzeaux, H. Coppola-Owen, J. Baiges
    Journal of Computational Physics (2009). Vol. 228 (5), pp. 1591-1611

    Abstract
    In this paper we propose a method to approximate flow problems in moving domains using always a given grid for the spatial discretization, and therefore the formulation [...]

  • SIAM J. Numer. Anal. (2009). Vol. 47 (1), pp. 699-718

    Abstract
    The stress-displacement-pressure formulation of the elasticity problem may suffer from two types of numerical instabilities related to the finite element interpolation of [...]

  • R. Codina, J. Principe, J. Baiges
    Comput. Methods Appl. Mech. Engrg., (2009). Vol. 198 (5-8), pp. 838-852

    Abstract
    In this paper, we introduce a way to approximate the subscales on the boundaries of the elements in a variational two-scale finite element approximation to flow problems. [...]

  • J. Principe, R. Codina
    Int. J. Num. Meths. for Heat and Fluid Flows. (2008). Vol. 18 (7-8), pp. 835-867

    Abstract
    Purpose – The purpose of this paper is to describe a finite element formulation to approximate thermally coupled flows using both the Boussinesq and the low Mach number [...]

  • S. Badia, R. Codina
    Archives of Comp. Meths. Engng. (2008). Vol. 15 (3), pp. 1-52

    Abstract
    This work is an overview of algebraic pressure segregation methods for the incompressible Navier-Stokes equations. These methods can be understood as an inexactLU block [...]

  • R. Codina, J. González-Ondina, G. Díaz-Hernández, J. Principe
    Int. J. Numer. Meth. Fluids (2008). Vol. 57 (9), pp. 1305-1322

    Abstract
    In this work, we present a finite element model to approximate the modified Boussinesq equations. The objective is to deal with the major problem associated with this system [...]

  • Applied Numerical Mathematics (2008). Vol. 58 (3), pp. 264-283

    Abstract
    In this paper we present a stabilized finite element formulation to solve the Oseen equations as a model problem involving both convection effects and the incompressibility [...]

  • Comput. Methods Appl. Mech. Engrg., (2008). Vol. 197 (13-16), pp. 1305-1322

    Abstract
    The purpose of this paper is to present a finite element approximation of the scalar hyperbolic wave equation written in mixed form, that is, introducing an auxiliary vector [...]

  • S. Badia, R. Codina
    Int. J. Numer. Meth. Engng. (2007). Vol. 72 (1), pp. 46-71

    Abstract
    In this paper we suggest some algorithms for the fluid-structure interaction problem stated using a domain decomposition framework. These methods involve stabilized pressure [...]

  • S. Badia, R. Codina
    Int. J. Numer. Meth. Fluids (2008). Vol. 56 (4), pp. 351-382

    Abstract
    In this paper, we introduce some pressure segregation methods obtained from a non‐standard version of the discrete monolithic system, where the continuity equation has been [...]

  • S. Badia, R. Codina
    Numerische Mathematik (2007). Vol. 107 (4), pp. 533-557

    Abstract
    In this paper we obtain convergence results for the fully discrete projection method for the numerical approximation of the incompressible Navier–Stokes equations using [...]

  • Comp. Part. Mech. (2019).

    Abstract
    Changes in direction and cross section in supercritical hydraulic channels generate shockwaves which result in an increase in flow depth with regard to that for uniform regime. [...]

  • O. Guasch, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2007). Vol. 196 (45-48), pp. 4672-4689

    Abstract
    An algebraic subgrid scale finite element method formally equivalent to the Galerkin Least-Squares method is presented to improve the accuracy of the Galerkin finite element [...]

  • H. Coppola-Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2007). Vol. 54 (10), pp. 1151-1171

    Abstract
    In this paper, we present a finite element model for free surface flows on fixed meshes. The main novelty of the approach, compared with typical fixed mesh finite element [...]

  • R. Codina, J. Principe
    Int. J. Numer. Meth. Fluids (2007). Vol. 54 (6-8), pp. 707-730

    Abstract
    In this paper, we propose a variational multiscale finite‐element approximation for the incompressible Navier–Stokes equations using the Boussinesq approximation to [...]

  • R. Codina, J. Principe, O. Guasch, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2007). Vol. 196 (21-24), pp. 2413-2430

    Abstract
    In this paper we analyze a stabilized finite element approximation for the incompressible Navier–Stokes equations based on the subgrid-scale concept. The essential point [...]

  • G. Houzeaux, R. Codina
    Computers and Fluids (2007). Vol. 36 (4), pp. 667-679

    Abstract
    We present in this paper a numerical strategy for the simulation of rotary positive displacement pumps, taking as an example a gear pump. While the two gears of the pump are [...]

  • S. Badia, R. Codina
    SIAM J. Numer. Anal. (2006). Vol. 44 (5), pp. 2159-2197

    Abstract
    In this paper we analyze a stabilized finite element method to approximate the convection‐diffusion equation on moving domains using an arbitrary Lagrangian Eulerian (ALE) [...]

  • R. Codina, G. Houzeaux
    Int. J. Numer. Meth. Fluids (2006). Vol. 52 (9), pp. 963-986

    Abstract
    In this paper, we analyse the numerical approximation of the heat transfer problem between two subdomains that we will consider filled with a fluid and separated by a thin [...]

  • R. Codina, N. Hernández-Silva
    Computational Mechanics (2006). Vol. 38 (4-5), pp. 344-355

    Abstract
    In this work we present a stabilized finite element method for the stationary magneto-hydrodynamic equations based on a simple algebraic version of the subgrid scale variational [...]

  • G. Houzeaux, R. Codina
    Int. J. Num. Meths. for Heat and Fluid Flow (2006). Vol. 16 (5), pp. 573-589

    Abstract
    Purpose – To develop a numerical methodology to simulate the lost foam casting (LFC), including the gas back-pressure effects. Design/methodology/approach – [...]

  • P. Nithiarasu, R. Codina, O. Zienkiewicz
    Int. J. Numer. Meth. Engng. (2006). Vol. 66 (10), pp. 1514-1546

    Abstract
    This paper presents a comprehensive overview of the characteristic‐based methods and Characteristic‐Based Split (CBS) scheme. The practical difficulties of employing the [...]

  • R. Codina, H. Coppola-Owen, P. Nithiarasu, C. Liu
    Int. J. Numer. Meth. Engng. (2006). Vol. 66 (10), pp. 1677-1689

    Abstract
    In this work, we present numerical comparisons of some stabilization methods for the incompressible Navier–Stokes. The first is the characteristic‐based split (CBS). [...]

  • R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2006). Vol. 195 (23-24), pp. 2900-2918

    Abstract
    In this paper we treat several aspects related to time integration methods for the incompressible Navier-Stokes equations that allow to uncouple the calculation of the velocities [...]

  • A. Coppola‐Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2005). Vol. 49 (12), pp. 1287-1304

    Abstract
    In this paper we present a problem we have encountered using a stabilized finite element method on fixed grids for flows with interfaces modelled with the level set approach. [...]

  • J. Blasco, R. Codina
    Applied Numerical Mathematics (2004). Vol. 51 (1), pp. 1-17

    Abstract
    In this paper we provide an error analysis of a fractional-step method for the numerical solution of the incompressible Navier–Stokes equations. Under mild regularity [...]

  • G. Houzeaux, R. Codina
    Int. J. Numer. Meth. Fluids (2004). Vol. 46 (2), pp. 203-226

    Abstract
    In this paper, we present a numerical model to simulate lost foam casting processes. We first introduce this particular casting in order to catch the different physical processes [...]

  • R. Codina, O. Soto
    Comput. Methods Appl. Mech. Engrg., (2004). Vol. 193 (15-16), pp. 1403-1419

    Abstract
    This paper describes a finite element model to solve the incompressible Navier–Stokes equations based on the stabilization with orthogonal subscales and a pressure segregation. [...]

  • R. Codina, A. Folch
    Int. J. Numer. Meth. Fluids (2004). Vol. 44 (5), pp. 483-503

    Abstract
    A finite element model to solve the incompressible Navier–Stokes equations based on the stabilization with orthogonal subscales, a predictor–corrector scheme to [...]

  • G. Houzeaux, R. Codina
    Computers and Fluids (2004). Vol. 33 (5-6), pp. 771-782

    Abstract
    When one wants to simulate flows with moving bodies and when there is no possible way of prescribing simple boundary conditions in any frame of reference, one possibility [...]

  • G. Houzeaux, R. Codina
    Journal of Computational and Applied Mathematics (2003). Vol. 158 (2), pp. 243-276

    Abstract
    We present a new overlapping Dirichlet/Robin Domain Decomposition method. The method uses Dirichlet and Robin transmission conditions on the interfaces of an overlapping partitioning [...]

  • G. Houzeaux, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2003). Vol. 192 (31-32), pp. 3343-3377

    Abstract
    We present a Chimera method for the numerical solution of incompressible flows past objects in relative motion. The Chimera method is implemented as an iteration-by-subdomain [...]

  • Comput. Methods Appl. Mech. Engrg., (2002). Vol. 191 (39-40), pp. 4295-4321

    Abstract
    In this paper we present a stabilized finite element method to solve the transient Navier–Stokes equations based on the decomposition of the unknowns into resolvable [...]

  • R. Codina, O. Soto
    Int. J. Numer. Meth. Fluids (2002). Vol. 40 (1-2), pp. 293-301

    Abstract
    The objective of this work is to present a stabilized finite element formulation for transient incompressible flows and to apply it to the tracking of two‐fluid interfaces. [...]

  • S. Badia, R. Codina
    Computing and Visualization in Science (2002). Vol. 4 (3), pp. 167-174

    Abstract
    In this paper we analyze a stabilized finite element method to approximate the convection diffusion equation on moving domains using an ALE framework. As basic numerical strategy, [...]

  • R. Codina, O. Zienkiewicz
    Commun. Numer. Meth. Engng (2001). Vol 18 (2), pp. 99-112

    Abstract
    In this work we compare two apparently different stabilization procedures for the finite element approximation of the incompressible Navier–Stokes equations. The first [...]

  • R. Codina, J. Blasco, G. Buscaglia, A. Huerta
    Int. J. Numer. Meth. Fluids (2001). Vol. 37 (4), pp. 419-444

    Abstract
    We discuss in this paper some implementation aspects of a finite element formulation for the incompressible Navier-Stokes which allows the use of equal order velocity-pressure [...]

  • A. Folch, J. Martí i Castell, R. Codina
    Journal of Geophysical Research (2001). Vol. 106 (B8), pp. 16 163-16 175

    Abstract
    We propose a simple physical model to characterize the dynamics of magma withdrawal during the course of caldera-forming eruptions. Simplification involves considering such [...]

  • J. Blasco, R. Codina
    Applied Numerical Mathematics (2001). Vol. 38 (4), pp. 475-497

    Abstract
    In this paper we analyze a pressure stabilized, finite element method for the unsteady, incompressible Navier–Stokes equations in primitive variables; for the [...]

  • Journal of Computational Physics (2001). Vol. 170 (1), pp. 112-140

    Abstract
    The objective of this paper is to analyze the pressure stability of fractional step finite element methods for incompressible flows. For the classical first order projection [...]

  • G. Houzeaux, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2001). Vol 17 (3), pp. 179-190

    Abstract
    This work presents a conservative scheme for iteration‐by‐subdomain domain decomposition (DD) strategies applied to the finite element solution of flow problems. The DD [...]

  • Comput. Methods Appl. Mech. Engrg., (2001). Vol. 190 (20-21), pp. 2681-2706

    Abstract
    In this paper we describe a finite element formulation for the numerical solution of the stationary Navier-Stokes equations including Coriolis forces and the permeability [...]

  • Comput. Methods Appl. Mech. Engrg., (2000). Vol. 190 (13-14), pp. 1579-1599

    Abstract
    Two apparently different forms of dealing with the numerical instability due to the incompressibility constraint of the stokes problem are analyzed in this paper. The first [...]

  • R. Codina, J. Blasco
    Numerische Mathematik (2000). Vol. 87 (1), pp. 59-81

    Abstract
    The purpose of this paper is to analyze a finite element approximation of the stationary Navier-Stokes equations that allows the use of equal velocity-pressure interpolation. [...]

  • G. Buscaglia, F. Basombrío, R. Codina
    Int. J. Numer. Meth. Fluids (2000). Vol. 34 (1), pp. 65-92

    Abstract
    Fourier analysis techniques are applied to the stabilized finite element method (FEM) recently proposed by Codina and Blasco for the approximation of the incompressible Navier–Stokes [...]

  • Int. J. Numer. Meth. Fluids (2000). Vol. 33 (5), pp. 737-766

    Abstract
    The objective of this paper is twofold. First, a stabilized finite element method for the incompressible Navier-Stokes is presented, and several numerical experiments are [...]

  • Comput. Methods Appl. Mech. Engrg., (2000). Vol. 188 (200), pp. 61-82

    Abstract
    A stabilized finite element method for solving systems of convection-diffusion-reaction equations is studied in this paper. The method is based on the subgrid scale approach [...]

  • R. Codina, J. Blasco
    Comput. Methods Appl. Mech. Engrg., (2000). Vol. 182 (3-4), pp. 277-300

    Abstract
    In this paper we present a stabilized finite element formulation for the transient incompressible Navier–Stokes equations. The main idea is to introduce as a new unknown [...]

  • R. Codina, O. Soto
    Int. J. Numer. Meth. Engng. (1999). Vol. 46 (9), pp. 1559-1573

    Abstract
    In this work we present a finite element formulation to simulate the filling of thin moulds. The model has as starting point a 3‐D approach using either div‐stable elements, [...]

  • O. Zienkiewicz, P. Nithiarasu, R. Codina, M. Vázquez, P. Ortiz
    Int. J. Numer. Meth. Fluids (1999). Vol. 31 (1), pp. 359-392

    Abstract
    In 1995 the two senior authors of the present paper introduced a new algorithm designed to replace the Taylor–Galerkin (or Lax–Wendroff) methods, used by them [...]

  • R. Codina, O. Soto
    Int. J. Numer. Meth. Fluids (1999). Vol. 30 (3), 309-334

    Abstract
    The main purpose of this paper is to describe a finite element formulation for solving the equations for k and ε of the classical k–ε [...]

  • R. Folch, M. Vázquez, R. Codina, J. Martí i Castell
    Computers and Geotechnics (1999). Vol. 25 (3), pp. 263-275

    Abstract
    We develop an algorithm to solve numerically the Navier–Stokes equations using a finite element method. The algorithm uses a fractional step approach that allows [...]

  • Journal of Computational Physics (1999). Vol. 148 (2), pp. 467-496

    Abstract
    In this paper we present a numerical formulation to solve the incompressible Navier–Stokes equations written in a rotating frame of reference. The method is based on [...]

  • R. Codina, O. Soto
    Comput. Methods Appl. Mech. Engrg., (1997). Vol. 142 (3-4), pp. 215-234

    Abstract
    The objective of this paper is to present a finite element formulation to solve the Stokes problem with Coriolis force. This force results in a skew-symmetric term in the [...]

  • P. Nithiarasu, O. Zienkiewicz, B. Sai, K. Morgan, R. Codina, M. Vázquez
    Int. J. Numer. Meth. Fluids (1998). Vol. 28 (9), pp. 1325-1353

    Abstract
    The performance of different shock capturing viscosities has been examined using our general fluid mechanics algorithm. Four different schemes have been tested, both for viscous [...]

  • J. Blasco, R. Codina, A. Huerta
    Int. J. Numer. Meth. Fluids (1998). Vol. 28 (10), pp. 1391-1419

    Abstract
    An implicit fractional-step method for the numerical solution of the time-dependent incompressible Naiver-Stokes equations in primitive variables is developed and studied [...]

  • R. Folch, J. Marti, R. Codina, M. Vázquez
    Journal of Geophysical Research: Solid Earth (1998). Vol. 103, 20883-20899

    Abstract
    An axisymmetrical numerical model has been developed in order to find the temporal evolution of pressure, the position of the exsolution level, the velocity field, the eruption [...]

  • Comput. Methods Appl. Mech. Engrg., (1998). Vol. 156, (1-4), pp. 185-210

    Abstract
    In this paper we describe several finite element methods for solving the diffusion-convection-reaction equation. None of them is new, although the presentation is non-standard [...]

  • R. Codina, M. Vázquez, O. Zienkiewicz
    Int. J. Numer. Meth. Fluids (1998). Vol. 27 (1-4), 13-32

    Abstract
    In this paper we consider some particular aspects related to the semi‐implicit version of a fractional step finite element method for compressible flows that we have developed [...]

  • R. Codina, J. Blasco
    Comput. Methods Appl. Mech. Engrg., (1997). Vol. 143 (3–4), pp. 373-391

    Abstract
    In this paper we study a variational formulation of the Stokes problem that accommodates the use of equal velocity-pressure finite element interpolations. The motivation of [...]

  • O. Zienkiewicz, B. Sai, K. Morgan, R. Codina
    Int. J. Numer. Meth. Fluids (1996). Vol. 23, 787-809

    Abstract
    In an earlier paper, Zienkiewicz and Codina (Int. j. numer. methods fluids, 20, 869–885 (1995)) presented a general algorithm for the solution of both compressible [...]

  • O. Zienkiewicz, R. Codina
    Int. J. Numer. Meth. Fluids (1995). Vol. 20, 869-885

    Abstract
    The paper outlines the formulation of a novel algorithm which can be used for the solution of both compressible and incompressible Navier‐Stokes or Euler equations. Full [...]

  • F. Ahmad, S. Khan, N. Merican, E. Oñate, A. Al-Sehemi, G. Yeoh
    Construction and Building Material (2019). Vol. 228, 116734

    Abstract
    This research emphases on the synthesis of new formulations of intumescent coating with improved thermal performance for steel structures. The coating formulations were based [...]

  • Comput. Methods Appl. Mech. Engrg., (1993). Vol. 110 (3-4), pp. 325-342

    Abstract
    To avoid the local oscillations that still remain using the streamline-upwind/Petrov-Galerkin formulation for the scalar convection-diffusion equation, the introduction of [...]

  • Int. J. Numer. Meth. Engng. (1993). Vol. 36, 1445-1464

    Abstract
    The stability and accuracy of the forward Euler scheme for the semidiscrete problem arising from the space discretization of the convection‐diffusion equation using the [...]

  • Comput. Methods Appl. Mech. Engrg., (1993). Vol. 110 (3-4), pp. 237-262

    Abstract
    The objective of this paper is to analyse an iterative procedure for the finite element solution of the Stokes and Navier-Stokes stationary problems. For the latter case, [...]

  • (2014). S. Idelsohn (Ed.), Numerical Simulations of Coupled Problems in Engineering, Part III, Chapter 7 Computational Methods, Vol. 33, Springer, pp. 157-169

    Abstract
    This work deals with the numerical simulation and material flow visualization of Friction Stir Welding (FSW) processes. The 4-th order Runge-Kutta (RK4) integration method [...]

  • Metals (2019). Vol. 9 (5), pp. 573

    Abstract
    The computational modeling and numerical simulation of Friction Stir Welding (FSW) processes is an extremely challenging task due to the highly nonlinear and coupled nature [...]

  • Int. J. Numer. Meth. Engng. (2017). (preprint) Vol. 113 (6), pp. 910-937

    Abstract
    In this paper, conserving time‐stepping algorithms for frictionless and full stick friction dynamic contact problems are presented. Time integration algorithms for frictionless [...]

  • G. Schmitz, A. Engstrom, R. Bernhardt, U. Prahl, L. Adam, J. Seyfarth, M. Apel, C. Agelet de Saracibar, P. Korzhavyi, J. Agren, B. Patzak
    Journal of The Minerals, Metals & Materials Society (2016). Vol. 68 (1), pp. 70-76

    Abstract
    The Integrated Computational Materials Engineering expert group (ICMEg), a coordination activity of the European Commission, aims at developing a global and open standard [...]

  • Finite Elements in Analysis and Design (2015). (preprint) Vol. 93 (1), pp. 107-125

    Abstract
    This paper deals with the computational modeling and numerical simulation of contact problems at finite deformations using the finite element method. Quasi-static and dynamic [...]

  • J. Rojek, F. Zárate, C. Agelet de Saracibar, C. Gilbourne, P. Verdot
    Int. J. Numer. Meth. Engng. (2004). Vol. 62 (11), pp. 1241-1441

    Abstract
    This paper presents a numerical model of mould manufacture for the lost foam casting process. The process of mould filling with sand and sand compaction by vibration are modelled [...]

  • Archives of Comp. Meths. Engng. (1998). Vol. 5 (3), pp. 243-301

    Abstract
    In this paper a numerical model for the analysis of coupled thermomechanical multi-body frictional contact problems at finite deformations is presented. The multi-body frictional [...]

  • S. Benítez, M. Chiumenti, F. Sepulcre, I. Achaerandio, M. Pujolá
    Journal of Food Engineering (2012). Vol. 113 (4), pp. 527-533

    Abstract
    The effect of temperature on the respiration rate and texture of fresh cut pineapple was studied over the course of 10 days of storage. The thermal exchange between the [...]

  • Comput. Methods Appl. Mech. Engrg., (2004). Vol. 193 (9-11), pp. 849-880

    Abstract
    This paper describes a novel formulation for the solution of problems involving shear band localization using a local isotropic J2 continuum damage model and mixed linear [...]

  • Comput. Methods Appl. Mech. Engrg., (1999). Vol. 177 (3-4), pp. 401-426

    Abstract
    The evolution of the contact surfaces wear may become particularly important in the definition of the frictional behavior, in particular for frictional contact problems involving [...]

  • M. Celigueta, S. Latorre, F. Arrufat, E. Oñate
    Computational Particle Mechanics (2019). (prepint), 10.1007/s40571-019-00278-5

    Abstract
    We present a numerical procedure for elastic and non linear analysis (including fracture situations) of solid materials and structures using the Discrete Element Method (DEM). [...]

  • Finite Elements in Analysis and Design (2016). Vol. 112, pp. 26-39

    Abstract
    Progressive fracture in quasi-brittle materials is often treated via strain softening models in continuum damage mechanics. Such constitutive relations favour spurious strain [...]

  • Revista de Obras Públicas (2004). Vol. 151 (3449), pp. 41-48

    Abstract
    El artículo revindica el valor de los métodos de cálculo que se enseñan en las Escuelas de Ingeniería, como herramientas indispensables [...]

  • R. Flores, R. Ortega, A. Ilin, D. Simpkins, E. Oñate
    Computational Particle Mechanics (2019). Vol. 6 (2), pp 163–175

    Abstract
    We present a simulation tool for transient events in complex hydraulic networks. The code includes modelling of the transport of suspended cuttings in near-vertical wells. [...]

  • Computational Particle Mechanics (2019). Vol. 6 (4), pp 545–559

    Abstract
    The discrete element method (DEM) is an emerging tool for the calculation of the behaviour of bulk materials. One of the key features of this method is the explicit integration [...]

  • X. Zhang, E. Oñate, S. Galindo, J. Bleyer, K. Krabbenhoft
    Comput. Methods Appl. Mech. Engrg., (2019). Vol. 343, pp. 314-338

    Abstract
    Consequences of submarine landslides include both their direct impact on offshore infrastructure, such as subsea electric cables and gas/oil pipelines, [...]

  • I. Pérez, M. Farias, M. Castro, R. Roselló, C. Morfa, L. Medina, E. Oñate
    Int J Numer Methods Eng. (2019). Vol. 118 (3), pp. 121-131

    Abstract
    A novel algorithm to reproduce the arrangement of grains in polycrystalline materials was recently published by the authors. In this original approach, a dense package of [...]

  • C. Recarey, I. Pérez, R. Roselló, M. Muniz, E. Hernández, R. Giraldo, E. Oñate
    Computer Methods in Applied Mechanics and Engineering (2019). Vol. 345, pp. 336-362

    Abstract
    Several theoretical contributions in order to establish a particle packing methodology are presented. In this respect, a generic formulation of a new method for packing [...]

  • J. Rojek, E. Oñate, C. Labra, H. Kargl, J. Akerman
    (2010). Technology Innovation in Underground Construction (TUNCONSTRUCT), G. Beer (Ed.)

    Abstract
    This paper presents an original thermomechanical model of rock cutting with evaluation of tool wear. The model has been developed within the framework of the discrete element [...]

  • E. Oñate, F. Flores
    Computer Methods in Applied Mechanics and Engineering (2005). Vol. 194 (21-24), 2406-2443

    Abstract
    A family of rotation-free three node triangular shell elements is presented. The simplest element of the family is based on an assumed constant curvature field expressed in [...]

  • E. Oñate, J. Miquel, F. Zárate
    Computers and Fluids (2007). Vol. 36 (1), pp. 92-112, 2007

    Abstract
    A stabilized finite element method (FEM) for the multidimensional steady state advection-diffusion-absorption equation is presented. The stabilized formulation is based on [...]

  • E. Oñate, J. Carbonell
    Computational Mechanics (2014). Vol. 54 (6), pp. 1583-1596, 2014

    Abstract
    We present a mixed velocity-pressure finite element formulation for solving the updated Lagrangian equations for quasi and fully incompressible fluids. Details of the governing [...]

  • International Journal of Computational Methods (2004). Vol. 1 (2), pp. 267-307

    Abstract
    We present a general formulation for analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use [...]

  • X. Lu, X. Lin, M. Chiumenti, M. Cervera, Y. Hu, X. Ji, L. Ma, H. Yang, W. Huang
    Additive Manufacturing (2019). (preprint) Vol. 26, pp. 166-179

    Abstract
    Residual stresses and distortion in Additive Manufactured (AM) parts are two key obstacles which seriously hinder the wide application of this technology. Nowadays, understanding [...]

  • X. Lu, X. Lin, M. Chiumenti, M. Cervera, Y. Hu, X. Ji, L. Ma, W. Huang
    Int. J. Mechanical Sciences (2019). (preprint) Vol. 153-154, pp. 119-130

    Abstract
    Residual stresses and distortions are two technical obstacles for popularizing the additive manufacturing (AM) technology. The evolution of the stresses in AM components during [...]

  • G. Vlachakis, M. Cervera, G. Barbat, S. Salaustros
    Engineering Failure Analysis (2019). (preprint) Vol. 97, pp. 534-555

    Abstract
    The out-of-plane response is a complex and at the same time key aspect of the seismic vulnerability of masonry structures. It depends on several factors, some of which are [...]

  • N. Dialami, M. Cervera, M. Chiumenti
    Metals (2019). Vol. 9 (1), pp. 28-45

    Abstract
    This work studies the effect of the tool tilt angle on the generated heat and the material flow in the work pieces joint by Friction Stir Welding (FSW). An apropos kinematic [...]

  • N. Dialami, M. Cervera, M. Chiumenti, A. Segatori
    Int. J. Mechanical Sciences (2019). Vol. 151, pp. 61-69

    Abstract
    This work studies computationally and experimentally the joint line remnant defects emerging in friction stir welding (FSW) due to oxide layer propagation into the weld. A [...]

  • J. Rojek, E. Oñate
    Interaction and Multiscale Mechanics: An International Journal (IMMIJ) (2007). Vol. 1 (1), pp. 1-31

    Abstract
    The present paper presents multiscale modelling via coupling of the discrete and finite element methods. Theoretical formulation of the discrete element method using spherical [...]

  • S. Salaustros, M. Cervera, L. Pelà
    Archives of Comp. Meths. Engng. (2018). (preprint) Published online, pp. 1-45

    Abstract
    The importance of crack propagation in the structural behaviour of concrete and masonry structures has led to the development of a wide range of finite element methods for [...]

  • E. Salsi, M. Chiumenti, M. Cervera
    Metals (2018). Vol. 8 (8), pp. 633-657

    Abstract
    AM processes are characterized by complex thermal cycles that have a deep influence on the microstructural transformations of the deposited alloy. In this work, a general [...]

  • Structural Safety (2015). Vol 56, pp. 9-17

    Abstract
    Predictive models are essential in dam safety assessment. Both deterministic and statistical models applied in the day-to-day practice have demonstrated to be useful, although [...]

  • Structural Optimization (1999). Vol. 17 (2-3), pp. 162-171

    Abstract
    This paper describes some considerations around the analytical structural shape sensitivity analysis when the structural behaviour is computed using the finite element method [...]

  • R. Chacón, F. Guzmán, E. Mirabell, E. Real, E. Oñate
    Structural Health Monitoring (2009). Vol. 8 (3), pp. 195-205

    Abstract
    n this paper, an experimental test performed on a hybrid steel plate girder was subjected to concentrated loads at the end of an unstiffened panel is presented. This load [...]

  • Structural Control Health Monitoring (2017). Vol. 24 (11), Article Number: e2012

    Abstract
    The advances in information and communication technologies led to a general trend towards the availability of more detailed information on dam behaviour. This allows applying [...]

  • D. Lee, J. Periaux, L. González, K. Srinivas, E. Oñate
    Structural and Multidisciplinary Optimization (2012). Vol. 45 (3), pp. 433-450

    Abstract
    There are many applications in aeronautical/aerospace engineering where some values of the design parameters/states cannot be provided or determined accurately. These values [...]

  • C. Labra, J. Rojek, E. Oñate
    Rock Mechanics and Rock Engineering (2017). Vol. 50 (3), pp. 621-638

    Abstract
    This paper presents advanced computer simulation of rock cutting process typical for excavation works in civil engineering. Theoretical formulation of the hybrid discrete/finite [...]

  • Revue Européenne des Éléments Finis (2004). Vol. 13, pp. 637-666

    Abstract
    We present a general formulation for analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use [...]

  • Procedia Engineering (2017). Vol. 175, pp. 226-232

    Abstract
    The main objective of this work lies in the development of a variational implicit Material Point Method (MPM), implemented in the open source Kratos Multiphysics framework. [...]

  • Ocean Engng. (2013). Vol. 66, pp. 92-100

    Abstract
    In this paper the Particle Finite Element Method (PFEM) is applied to the simulation of the sea-landing of an unmanned aerial vehicle (UAV). The problem of interest consists [...]

  • R. López, E. Oñate
    Neurocomputing (2008). Vol. 71 (13-15), pp. 2538-2543

    Abstract
    In this work an extended class of multilayer perceptron is presented. This includes independent parameters, boundary conditions and lower and upper bounds. In some cases, [...]

  • G. Lomboy, K. Kim, E. Oñate
    Mechanics of Advanced Materials and Structures (2007). Vol. 14 (2), pp. 89-105

    Abstract
    A nonlinear resultant shell element is developed for the solution of problems of composite plates and shells undergoing nonlinear static and nonlinear dynamic behavior with [...]

  • P. Norachan, K. Kim, E. Oñate
    Journal of Structural Engineering (2014). Vol. 140 (6), pp. 04014028/1-17

    Abstract
    The paper presents a systematically numerical procedure based on the finite-element method for three-dimensional analysis of segmentally constructed prestressed concrete bridges [...]

  • J. González, M. Chiumenti, M. Cervera, C. Agelet de Saracibar, F. Samaniego, I. Cobo
    Fusion Engineering and Design (2018). (preprint) Vol. 135, Part A, pp. 65-73

    Abstract
    The objective of ITER is to build a new Tokamak, with the goal of demonstrating the scientific and technical feasibility of fusion power. The First Wall Panels are the inner [...]

  • Journal of Engineering Mechanics (2010). Vol. 136 (4), pp. 455-463

    Abstract
    An excavation process is a nonlinear dynamic problem that includes geometrical, material, and contact nonlinearities. The simulation of ground excavation has to face contact [...]

  • G. Casas, A. Ferrer, E. Oñate
    Journal of Computational Physics (2018). Vol. 352, pp. 142-171

    Abstract
    In this work we put the method proposed by van Hinsberg et al. to the test, highlighting its accuracy and efficiency in a sequence of benchmarks of increasing complexity. [...]

  • C. Felippa, E. Oñate
    Journal of Applied Mechanics (2004). Vol. 71 (5), pp. 731-734

    Abstract
    We study three “incompressibility flavors” of linearly-elastic anisotropic solids that exhibit volumetric constraints: isochoric, hydroisochoric and rigidtropic. [...]

  • D. Lee, J. Periaux, L. González, E. Oñate, N. Qin
    Journal of Aircraft (2011). Vol. 48 (3) pp. 1084-1094

    Abstract
    The use of adaptive wing/aerofoil designs is being considered, as they are promising techniques in aeronautic/ aerospace since they can reduce aircraft emissions and improve [...]

  • F. Flores, E. Ortega, E. Oñate
    Journal of Aircraft (2010). Vol. 47, pp. 708-714

    Abstract
    The present work is part of a broader investigation aimed at improving the understanding of the aerodynamics of the rear aircraft section. Complex flow phenomena (e.g., [...]

  • J. Pons-Prats, G. Bugeda, F. Zárate, E. Oñate
    Journal of Aerospace Engineering (2011). Vol. 225, (10), pp. 1131-1151

    Abstract
    Uncertainties are a daily issue to deal with in aerospace engineering and applications. Robust optimization methods commonly use a random generation of the inputs and take [...]

  • International Journal of Space Structures (2009). Vol. 24 (4), pp. 205-210

    Abstract
    We propose here an efficient approach for treating the interaction between membranes and fluids. Slight compressibility of the fluid is assumed. Classical total Lagrangian [...]

  • J. Rojek, E. Oñate, C. Labra, H. Kargl
    Int. J. Rock Mechanics and Mining Sciences (2011). Vol. 48 (6), pp. 996-1010

    Abstract
    This paper presents numerical modelling of rock cutting processes. The model consists of a tool–rock system. The rock is modelled using the discrete element method, [...]

  • International Journal of Geomechanics (2015). Vol. 15 (4), pp. 04014060-1 (published online)

    Abstract
    This paper aims to present and validate a numerical technique for the simulation of the overtopping and onset of failure in rockfill dams caused by mass sliding. This goal [...]

  • Int. J. Numer. Anal. Meth. Geomech. (2017). Vol. 41 (1), pp. 110-134

    Abstract
    A new mixed displacement‐pressure element for solving solid–pore fluid interaction problems is presented. In the resulting coupled system of equations, the balance [...]

  • Int. J. Numer. Anal. Meth. Geomech. (2016). Vol. 40 (6), pp. 809-826

    Abstract
    Landslide‐generated impulse waves may have catastrophic consequences. The physical phenomenon is difficult to model because of the uncertainties in the kinematics of the [...]

  • C. Recarey Morfa, E. Oñate, J. Rojek, J. Canet, F. Zárate, G. Cadoce, C. Labra
    Ingeniería Civil (2005). Vol. 139, pp. 112-124

    Abstract
    Se presenta un modelo de elementos discretos o distintos (MED) en la modelizacion del ensayo de traccion indirecta o ensayo brasileno (Brazilian Test). Se realiza una comparacion [...]

  • European Journal of Computational Mechanics (2018). Vol. 27 (1), pp. 1-32

    Abstract
    The solid-shells are an attractive kind of element for the simulation of f orming processes, due to the fact that any kind of generic 3D constitutive law can be employed without [...]

  • Engineering Structures (2016). Vol. 119, pp. 230-251

    Abstract
    Predictive models are essential in dam safety assessment. They have been traditionally based on simple statistical tools such as the hydrostatic-season-time (HST) model. These [...]

  • Computers and Geotechnics (2018). Vol. 96, pp. 103-117

    Abstract
    A new computational technique for the simulation of 2D and 3D fracture propagation processes in saturated porous media is presented. A non-local damage model [...]

  • Computers and Geotechnics (2017). Vol. 85, pp. 220-229

    Abstract
    The Discrete Element Method (DEM) was found to be an effective numerical method for the calculation of engineering problems involving granular materials. [...]

  • X. Martinez, F. Rastellini, S. Oller, F. Flores, E. Oñate
    Composites Part B: Enginnering (2011). Vol. 42 (2), pp. 134-144

    Abstract
    The numerical simulation of complex failure modes of composite materials, such as delamination, can be computationally very demanding, as it [...]

  • L. Nallim, S. Oller, E. Oñate, F. Flores
    Composite Structures (2017). Vol. 163, pp. 168-184

    Abstract
    In this work a kinematics for laminated beams enriched with a refined formulation ZigZag (RZT), originally presented by Tessler et al. in 2007, introduced in a hierarchical [...]

  • Composite Structures (2015). Vol. 132, pp 1192-1205

    Abstract
    We present a new 2-noded beam element based on the refined zigzag theory and the classical Euler–Bernoulli beam theory for the static analysis of composite laminate [...]

  • Composite Structures (2014). Vol. 108, pp. 456-471

    Abstract
    A numerical method based on the Refined Zigzag Theory (RZT) to model delamination in composite laminated plate/shell structures is presented. The originality of this method [...]

  • Composite Structures (2013). Vol. 104, pp. 270-280

    Abstract
    A method based on the Refined Zigzag Theory (RZT) to model delamination in composite laminated beam structures is presented. The novelty of this method is the use of one-dimensional [...]

  • D. Lee, C. Morillo, S. Oller, G. Bugeda, E. Oñate
    Composite Structures (2013). Vol. 99, pp. 181-192

    Abstract
    Hybrid Composite Structures (HCSs) are consisting of alternating layers of Fiber-Reinforced Polymer and metal sheets. Mechanical properties and responses for off-design [...]

  • D. Lee, C. Morillo, G. Bugeda, S. Oller, E. Oñate
    Composite Structures (2012). Vol. 94 (3), pp. 1087-1096

    Abstract
    This paper presents a research work on stacking sequence design optimisation for multilayered composite plate using a parallel/distributed evolutionary algorithm. [...]

  • Archives of Comp. Meths. Engng. (2015). Vol. 22 (4), pp. 637-653

    Abstract
    The aim of the present work is to present an overview of some numerical procedures for the simulation of free surface flows within a porous structure. A particular algorithm [...]

  • Archives of Comp. Meths. Engng. (2017). Vol. 24 (1), pp. 1-21

    Abstract
    Predictive models are an important element in dam safety analysis. They provide an estimate of the dam response faced with a given load combination, which can be compared [...]

  • P. Dadvand, R. Rossi, E. Oñate
    Archives of Comp. Meths. Engng. (2010). Vol. 17 (3), pp 253-297

    Abstract
    The objective of this work is to describe the design and implementation of a framework for building multi-disciplinary finite element programs. The main goals are generality, [...]

  • G. Lomboy, S. Suthasupradit, K. Kim, E. Oñate
    Archives of Comp. Meths. Engng. (2009). Vol. 16 (2), pp. 189-250

    Abstract
    The quasi-conforming technique was introduced in the 1980’s to meet the challenge of inter-elements conforming problems and give a unified treatment of both conforming [...]

  • M. Kouhi, M. Manshadi, E. Oñate
    Aerospace Science and Technology (2014). Vol. 36, pp. 64-74, 2014

    Abstract
    Design of two-dimensional supersonic diffusers as a part of the wind tunnel is investigated in this paper. A methodology based on the mixture of try-and-error method [...]

  • C. Labra, J. Rojek, E. Oñate, F. Zárate
    Acta Geotechnica (2009). Vol. 3 (4), pp. 317-322

    Abstract
    The paper presents advances in the discrete element modelling of underground excavation processes extending modelling possibilities as well as increasing computational efficiency. [...]

  • Int. J. Numer. Meth. Fluids (2014). Vol 74 (12), pp. 919-934

    Abstract
    We propose a simple technique for improving computationally the efficiency of monolithic velocity–pressure solvers for incompressible flow problems. The idea consists [...]

  • M. Kouhi, D. Lee, G. Bugeda, E. Oñate
    Computers and Fluids (2013). Vol. 88, pp. 298-312

    Abstract
    This paper demonstrates the big influence of the control of the mesh quality in the final solution of aerodynamic shape optimization problems. It aims to study the trade-off [...]

  • Int. J. Numer. Meth. Fluids (2013). Vol. 71 (6), pp. 687-716

    Abstract
    We present an efficient technique for the solution of free surface flow problems using level set and a parallel edge‐based finite element method. An unstructured semi‐explicit [...]

  • D. Lee, G. Bugeda, J. Périaux, E. Oñate
    Computers and Fluids (2013). Vol. 80, pp. 214 - 224

    Abstract
    The paper investigates a robust optimisation for detail design of active shock control bump on a transonic Natural Laminar Flow (NLF) aerofoil using a Multi-Objective Evolutionary [...]

  • Int. J. Numer. Meth. Fluids (2012). Vol. 70' (1), pp. 1-19

    Abstract
    In this paper, we propose a computational algorithm for the solution of thermally coupled flows in subsonic regime. The formulation is based upon the compressible Navier–Stokes [...]

  • D. Lee, L. González, J. Periaux, A. Srinivas, E. Oñate
    Computers and Fluids (2011). Vol. 47 (1), pp. 189-204

    Abstract
    A number of Game Strategies (GS) have been developed in past decades. They have been used in the fields of economics, engineering, computer science and biology due to their [...]

  • Z. Tang, J. Périaux, G. Bugeda, E. Oñate
    Int. J. Numer. Meth. Fluids (2010). Vol. 64 (2), pp. 119-135

    Abstract
    In this paper, the aerodynamic shape optimization problems with uncertain operating conditions have been addressed. After a review of robust control theory and the possible [...]

  • R. Löhner, C. Yang, E. Oñate
    Int. J. Numer. Meth. Fluids (2007). Vol. 53 (8), pp 1315-1338

    Abstract
    A volume of fluid (VOF) technique has been developed and coupled with an incompressible Euler/Navier–Stokes solver operating on adaptive, unstructured grids to simulate [...]

  • Int. J. Numer. Meth. Fluids (1995). Vol. 20 (8-9), pp. 915-934

    Abstract
    This paper presents a methodology for solving shape optimization problems in the context of fluid flow problems including adaptive remeshing. The method is based on the computation [...]

  • E. Oñate, M. Manzán
    Int. J. Numer. Meth. Fluids (1999). Vol. 31 (1), pp. 203-221

    Abstract
    A procedure to derive stabilized space–time finite element methods for advective–diffusive problems is presented. The starting point is the stabilized balance [...]

  • Int. J. Numer. Meth. Fluids (1999). Vol. 30 (2), pp. 161-178

    Abstract
    This paper presents a methodology for solving shape optimization problems in the context of fluid flow problems including adaptive remeshing. The method is based on the computation [...]

  • M. Chiumenti, M. Cervera, E. Salsi, A. Zonato
    J. of Heat Transfer (2018). (preprint) Vol. 140 (8), pp. 12

    Abstract
    In this work, a novel phenomenological model is proposed to study the liquid-to-solid phase change of eutectic and hypoeutectic alloy compositions. The objective is to enhance [...]

  • N. Dialami, M. Cervera, M. Chiumenti
    Metals (2018). (preprint) Vol. 8 (3), pp. 183

    Abstract
    This work studies the metallurgical and microstructural aspects of Friction Stir Welding (FSW) in terms of grain size and microhardness. The modelling is based on the combination [...]

  • X. Lu, X. Lin, M. Chiumenti, M. Cervera, J. Li, L. Ma, L. Wei, Y. Hu, W. Huang
    Additive Manufacturing (2018). (preprint) Vol. 21, pp. 30-40

    Abstract
    A three-dimensional (3D) thermomechanical coupled model for Laser Solid Forming (LSF) of Ti-6Al-4V alloy has been calibrated through experiments of 40-layers metal [...]

  • G. Barbat, M. Cervera, M. Chiumenti
    International Journal of Fracture (2018). (preprint) Vol. 210 (1-2), pp. 45–79

    Abstract
    This paper discusses the modeling of cracking in quasi-brittle materials using isotropic and orthotropic damage constitutive laws. A mixed strain/displacement finite element [...]

  • J. Wu, M. Cervera
    Int. J. Solids and Structures (2018). (preprint) Vol. 139–140, pp. 250–269

    Abstract
    The asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant [...]

  • M. Cervera, C. Tesei, G. Ventura
    Int. J. Solids and Structures (2017). (preprint) Vol. 135, pp. 148–171

    Abstract
    In the present paper, a new d+/d− damage model apt for quasi-brittle materials is described and its validation is carried out considering unreinforced [...]

  • N. Dialami, M. Cervera, M. Chiumenti, A. Segatori, W. Osikowicz
    Metals (2017). (preprint) Vol. 7 (11), pp. 491

    Abstract
    This work adopts a fast and accurate two-stage computational strategy for the analysis of FSW (Friction stir welding) processes using threaded cylindrical pin tools. The coupled [...]

  • N. Dialami, M. Chiumenti, M. Cervera, A. Segatori, W. Osikowicz
    Int. J. Mechanical Sciences (2017). (preprint) Vol. 133, pp. 555-567

    Abstract
    Friction is one of the main heat generation mechanisms in Friction Stir Welding (FSW). This phenomenon occurs between the pin and the workpiece as the rotating tool moves [...]

  • M. Chiumenti, E. Neiva, E. Salsi, M. Cervera, E. Badia, J. Moya, Z. Chen, C. Lee, C. Davies
    Additive Manufacturing (2017). (preprint) Vol. 18, pp. 171-185

    Abstract
    In this work a finite-element framework for the numerical simulation of the heat transfer analysis of additive manufacturing processes by powder-bed technologies, [...]

  • M. Cervera, G. Barbat, M. Chiumenti
    Computational Mechanics (2017). (preprint) Vol. 60 (5), pp. 767–796

    Abstract
    This paper discusses the finite element modeling of cracking in quasi-brittle materials. The problem is addressed via a mixed strain/displacement finite element formulation [...]

  • S. Salaustros, M. Cervera, L. Pelà
    Meccanica (2017). (preprint) Vol. 53 (7), pp. 1757–1776

    Abstract
    In-plane cyclic loading of masonry walls induces a complex failure pattern composed of multiple diagonal shear cracks, as well as flexural cracks. The realistic modelling [...]

  • S. Salaustros, L. Pelà, M. Cervera, P. Roca
    International Journal of Architectural Heritage (2017). (preprint) Vol. 12 (3), pp. 432-447

    Abstract
    Finite element macro-modeling approaches are widely used for the analysis of large-scale masonry structures. Despite their efficiency, they still face two important challenges: [...]

  • J. Wu, M. Cervera
    Materials (2017). (preprint) Vol. 10 (4), pp. 434

    Abstract
    Damage-induced strain softening is of vital importance for the modeling of localized failure in frictional-cohesive materials. This paper addresses strain localization of [...]

  • L. Benedetti, M. Cervera, M. Chiumenti
    Engineering Fracture Mechanics (2017). (preprint) Vol. 176, pp. 235–256

    Abstract
    The testing of mode III and mixed mode failure is every so often encountered in the dedicated literature of mechanical characterization of brittle and quasi-brittle [...]

  • Int. J. Mechanical Sciences (2017). (preprint) Vol. 122, pp. 215–227

    Abstract
    Pin geometry is a fundamental consideration in friction stir welding (FSW). It influences the thermal behaviour, material flow and forces during the weld and [...]

  • M. Cervera, C. Tesei
    Materials (2017). (preprint) Vol. 10 (4), pp. 433

    Abstract
    In this paper, an energy-equivalent orthotropic d+/d− damage model for cohesive-frictional materials is formulated. Two essential mechanical features are addressed, [...]

  • S. Salaustros, L. Pelà, M. Cervera, P. Roca
    Computational Mechanics (2017). (preprint) Vol. 59 (2), pp. 299–316

    Abstract
    Tracking algorithms constitute an efficient numerical technique for modelling fracture in quasi-brittle materials. They succeed in representing localized cracks in the numerical [...]

  • M. Chiumenti, X. Lin, M. Cervera, W. Lei, Y. Zheng, W. Huang
    Rapid Prototyping Journal (2017). (preprint) Vol. 23 (2), pp. 448-463

    Abstract
    In this work the numerical simulation of Additive Manufacturing (AM) processes is addressed. The numerical results are compared with the experimental campaign carried out [...]

  • International Journal of Advanced Manufacturing Technology (2017). (preprint) Vol. 88 (9), pp. 3099–3111