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Documents published in Scipedia

Stabilized pressure segregation methods and their application to fluid-stucture interaction problems
S. Badia, R. Codina

Monograph CIMNE (2006). M96

Abstract
In this work we design and analyze pressure segregation methods in order to approximate the Navier-Stokes equations. Pressure correction methods are widely used because they allow the decoupling of velocity and pressure computation, decreasing the computational cost. We have analyzed some of these schemes, obtaining inherent pressure stability. However, for second order accurate methods (in time) this inherent stability is too weak, requiring the introduction of a stabilized finite element methodology for the space dis- cretization. Moreover, we have carried out a complete convergence analysis of a first order pressure segregation method. We have used a stabilization technique justified from a multiscale approach that allows the use of equal velocity-pressure interpolation spaces and convection dominated °ows. A new kind of methods has been motivated from an alternative version of the mono- lithic fluid solver where the continuity equation is replaced by a discrete pressure Poisson equation. These methods belong to the family of velocity correction schemes, where it is the velocity instead of the pressure the extrapolated unknown. Some stability bounds have been proved, revealing that their inherent pressure stability is too weak. Further, predictor corrector schemes easily arise from the new monolithic system. Numerical ex- perimentation shows the good behavior of these methods. We have introduced the ALE framework in order for the fluid governing equations to be formulated on moving domains. Taking as the model equation the convection-di®usion equation, we have analyzed the blend of the ALE framework and a stabilized finite element method. We suggest a coupling procedure for the fluid-structure problem taking benefit from the ingredients previously introduced: pressure segregation methods, a stabilized finite element formulation and the ALE framework. The final algorithm, using one loop, tends to the monolithic (fluid-structure) system. This method has been applied to the simulation of bridge aerodynamics, obtaining a good convergence behavior. We end with the simulation of wind turbines. The fact that we have a rotary body surrounded by the fluid (air) has motivated the introduction of a remeshing strategy. We consider a selective remeshing procedure that only affects a tiny portion of the domain, with little impact on the overall CPU time.
Abstract
In this work we design and analyze pressure segregation methods in order to approximate the Navier-Stokes equations. Pressure correction methods are widely used because they allow [...]
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Numerical aerodynamic analysis of large buildings using a finite element model with application to a telescope building
R. Codina, C. Morton, E. Oñate, O. Soto

Int. J. of Num. Meths. for Heat and Fluid Flow (2000). Vol. 10 (5-6), pp. 616-633

Abstract
Presents a numerical strategy for the aerodynamic analysis of large buildings, with an application to the simulation of the air flow within a telescope building. The finite element formulation is presented first, and then the methodology followed to obtain significant data from the calculations is described. The quality of the ventilation of the building is defined by the average residence times, and the feasibility of this ventilation by the actions created on the instruments and the general flow pattern.
Abstract
Presents a numerical strategy for the aerodynamic analysis of large buildings, with an application to the simulation of the air flow within a telescope building. The finite [...]
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Mould filling simulation using finite elements
R. Codina, U. Schäfer, E. Oñate

Int. J. of Num. Meths. for Heat and Fluid Flow (1994). Vol. 4 (1), pp. 291-310

Abstract
In this paper we consider several aspects related to the application of the pseudo‐concentration techniques to the simulation of mould filling processes. We discuss, in particular, the smoothing of the front when finite elements with interior nodes are employed and the evacuation of air through the introduction of temporary free wall nodes. The basic numerical techniques to solve the incompressible Navier—Stokes equations are also briefly described. The main features of the numerical model are the use of div‐stable velocity—pressure interpolations with discontinuous pressures, the elimination of the pressure via an iterative penalty formulation, the use of the SUPG approach to deal with convection‐dominated problems and the temporal integration using the generalized trapezoidal rule. At the end of the paper we present some numerical results obtained for a two‐dimensional test problem showing the ability of the method to capture complicated flow patterns.
Abstract
In this paper we consider several aspects related to the application of the pseudo‐concentration techniques to the simulation of mould filling processes. We discuss, in [...]
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A Finite Element formulation for the numerical solution of the convection-diffusion equation
R. Codina

Monograph CIMNE (1993). M14

Abstract
In this work we present several finite element techniques to solve the convection-diffusion equation when the Péclet number is high, tha is, when diffusion is very small. The basic finite element formulation employed here is the Streamline-Upwind-Petrov-Galerkin (SUPG). A thorough description of this approach is presented in Chapter 1. Chapter 2 deals with the application of the generalized trapezoidal rule to advance in time for the transient equation. A complete stability and accuracy analysis is performed for the explicit Euler scheme, both using linear and quadratic finite elements. Chapter 3 is concerned with the problem of removing the localized oscillations that remain about abrupt layers of the solution.
Abstract
In this work we present several finite element techniques to solve the convection-diffusion equation when the Péclet number is high, tha is, when diffusion is very [...]
- 152
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A Finite Element formulation for viscous incompressible flows
R. Codina

Monograph CIMNE (1993). M16
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A penalty finite element method for non‐Newtonian creeping flows
R. Codina, M. Cervera, E. Oñate

Int. J. Numer. Meth. Engng. (1993). Vol. 36 (8), pp. 1395-1412

Abstract
In this paper we present an iterative penalty finite element method for viscous non‐Newtonian creeping flows. The basic idea is solving the equations for the difference between the exact solution and the solution obtained in the last iteration by the penalty method. For the case of Newtonian flows, one can show that for sufficiently small penalty parameters the iterates converge to the incompressible solution. The objective of the present work is to show that the iterative penalization can be coupled with the iterative scheme used to deal with the non‐linearity arising from the constitutive law of non‐Newtonian fluids. Some numerical experiments are conducted in order to assess the performance of the approach for fluids whose viscosity obeys the power law.
Abstract
In this paper we present an iterative penalty finite element method for viscous non‐Newtonian creeping flows. The basic idea is solving the equations for the difference [...]
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The intrinsic time for the streamline upwind Petrov-Galerkin formulation using quadratic elements
R. Codina, E. Oñate, M. Cervera

Comput. Methods Appl. Mech. Engrg., (1992). Vol. 94, pp. 239-262

Abstract
In this paper the functions of the Péclet number that appear in the intrinsic time of the streamline upwind/Petrov-Galerkin (SUPG) formulation are analyzed for quadratic elements. Some related issues such as the computation of the characteristic element length and the introduction of source terms in the one-dimensional model problem are also addressed.
Abstract
In this paper the functions of the Péclet number that appear in the intrinsic time of the streamline upwind/Petrov-Galerkin (SUPG) formulation are analyzed for quadratic [...]
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Approximation of the scalar convection-diffusion-reaction equation with stabilized finite element formulations of high order
A. Villota, R. Codina

Rev. int. métodos numér. cálc. diseño ing. (2019). Vol. 35, (1), 6

Abstract
In this paper we present stabilized finite element formulations to solve the scalar convection-diffusion-reaction equation in the case of small diffusion. On the one hand, we summarize the application of the ASGS and OSS formulations based on the concept of variational multiscale methods. On the other hand, we discuss aspects of the use of high order elements, focusing our numerical experiments on quadratic, cubic and fourth order elements. Likewise, the application of the OSS method requires the introduction of a projection, for which we introduce a modification of the fourth order simplicial element with an associated numerical integration rule.
Abstract
In this paper we present stabilized finite element formulations to solve the scalar convection-diffusion-reaction equation in the case of small diffusion. On the one hand, [...]
- 215
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A Geometrical domain decomposition method in computational fluid dynamics
G. Houzeaux, R. Codina

Monograph CIMNE (2002). M70

Abstract
We present a detailed description of the implementation of the DD methods in the numerical framework of finite elements. We present interpolation techniques for Dirichlet and Neumann data as well as conservation algorithms.
Abstract
We present a detailed description of the implementation of the DD methods in the numerical framework of finite elements. We present interpolation techniques for Dirichlet [...]
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Approximation of the shallow water equations with higher order finite elements and variational multiscale methods
A. Villota, R. Codina

Rev. int. métodos numér. cálc. diseño ing. (2018). Vol. 34, (1), 28

Abstract
In this article, we present approximations with finite elements of high order using stabilized variational multiscale methods to approximate the equations of motion of a fluid in shallow waters. We write these equations as a system of non-linear and transient convection-diffusion-reaction (CDR) equations and we perform our developments in this general framework. Variational multiscale methods (VMS) are based on the decomposition of the unknowns of the continuous problem in a resolved component in the finite element space and another component that cannot be captured by the finite element mesh, and that we call subscale. The subscale is approximated in terms of the finite element solution, obtaining a robust numerical scheme, which in particular allows one to use the same interpolation for all unknowns and the possibility to deal with convection dominated flows (we will not consider the possibility of dealing with shocks). The two VMS methodologies that we will consider are called algebraic subscales (ASGS) and orthogonal subscales (OSS).
Abstract
In this article, we present approximations with finite elements of high order using stabilized variational multiscale methods to approximate the equations of motion of a fluid [...]
- 299
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Articles (Documents not available in Scipedia)

Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows
O Colomés, S Badia, R Codina, J Principe

Computer Methods in Applied Mechanics and Engineering 285, 32-63, 2015
Mixed stabilized finite element methods in nonlinear solid mechanics. Part III: Compressible and incompressible plasticity
M Cervera, M Chiumenti, L Benedetti, R Codina

Computer Methods in Applied Mechanics and Engineering 285, 752-775, 2015
Large eddy simulation of low mach number flows using dynamic and orthogonal subgrid scales
M Avila, R Codina, J Principe

Computers & Fluids 99, 44-66, 2014
Stabilized stress–velocity–pressure finite element formulations of the Navier–Stokes problem for fluids with non-linear viscosity
E Castillo, R Codina

Computer Methods in Applied Mechanics and Engineering 279, 554-578, 2014
Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem
E Castillo, R Codina

Computer Methods in Applied Mechanics and Engineering 279, 579-605, 2014
Anisotropic adaptive meshing and monolithic Variational Multiscale method for fluid–structure interaction
E Hachem, S Feghali, R Codina, T Coupez

Computers & Structures 122, 88-100, 2013
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
S Badia, R Codina, R Planas

Journal of Computational Physics 234, 399-416, 2013
Immersed stress method for fluid–structure interaction using anisotropic mesh adaptation
E Hachem, S Feghali, R Codina, T Coupez

International Journal for Numerical Methods in Engineering 94 (9), 805-825, 2013
Explicit reduced‐order models for the stabilized finite element approximation of the incompressible Navier–Stokes equations
J Baiges, R Codina, S Idelsohn

International Journal for Numerical Methods in Fluids 72 (12), 1219-1243, 2013
Statistical behavior of the orthogonal subgrid scale stabilization terms in the finite element large eddy simulation of turbulent flows
O Guasch, R Codina

Computer Methods in Applied Mechanics and Engineering 261, 154-166, 2013
Stokes, Maxwell and Darcy: A single finite element approximation for three model problems
S Badia, R Codina

Applied Numerical Mathematics 62 (4), 246-263, 2012
A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions
S Badia, R Codina

SIAM Journal on Numerical Analysis 50 (2), 398-417, 2012
A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes
J Baiges, R Codina, F Henke, S Shahmiri, WA Wall

International Journal for Numerical Methods in Engineering 90 (5), 636-658, 2012
Approximation of the inductionless MHD problem using a stabilized finite element method
R Planas, S Badia, R Codina

Journal of Computational Physics 230 (8), 2977-2996, 2011
The Fixed‐Mesh ALE approach for the numerical simulation of floating solids
J Baiges, R Codina, H Coppola‐Owen

International Journal for Numerical Methods in Fluids 67 (8), 1004-1023, 2011
A finite element dynamical nonlinear subscale approximation for the low Mach number flow equations
M Avila, J Principe, R Codina

Journal of Computational Physics 230 (22), 7988-8009, 2011
Mesh objective modeling of cracks using continuous linear strain and displacement interpolations
M Cervera, M Chiumenti, R Codina

International Journal for Numerical Methods in Engineering 87 (10), 962-987, 2011
On the stabilization parameter in the subgrid scale approximation of scalar convection–diffusion–reaction equations on distorted meshes
J Principe, R Codina

Computer methods in applied mechanics and engineering 199 (21), 1386-1402, 2010
Long-term stability estimates and existence of a global attractor in a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
S Badia, R Codina, JV Gutiérrez-Santacreu

SIAM Journal on Numerical Analysis 48 (3), 1013-1037, 2010
Finite element approximation of turbulent thermally coupled incompressible flows with numerical sub-grid scale modelling
R Codina, J Principe, M Ávila

International Journal of Numerical Methods for Heat & Fluid Flow 20 (5), 492-516, 2010
The fixed‐mesh ALE approach applied to solid mechanics and fluid–structure interaction problems
J Baiges, R Codina

International journal for numerical methods in engineering 81 (12), 1529-1557, 2010
Stabilized continuous and discontinuous Galerkin techniques for Darcy flow
S Badia, R Codina

Computer Methods in Applied Mechanics and Engineering 199 (25), 1654-1667, 2010
The dissipative structure of variational multiscale methods for incompressible flows
J Principe, R Codina, F Henke

Computer Methods in Applied Mechanics and Engineering 199 (13), 791-801, 2010
Mixed stabilized finite element methods in nonlinear solid mechanics: Part ii: Strain localization
M Cervera, M Chiumenti, R Codina

Computer Methods in Applied Mechanics and Engineering 199 (37), 2571-2589, 2010
Mathematical models for thermally coupled low speed flows
J Principe, R Codina

Advances in Theoretical and Applied Mechanics 2 (2), 93-112, 2009
Subscales on the element boundaries in the variational two-scale finite element method
R Codina, J Principe, J Baiges

Computer Methods in Applied Mechanics and Engineering 198 (5), 838-852, 2009
Finite element approximation of the three-field formulation of the Stokes problem using arbitrary interpolations
R Codina

SIAM Journal on Numerical Analysis 47 (1), 699-718, 2009
Approximate imposition of boundary conditions in immersed boundary methods
R Codina, J Baiges

International Journal for Numerical Methods in Engineering 80 (11), 1379-1405, 2009
On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space–time discretization
S Badia, R Codina

Applied Mathematics and Computation 207 (2), 415-433, 2009
The fixed-mesh ALE approach for the numerical approximation of flows in moving domains
R Codina, G Houzeaux, H Coppola-Owen, J Baiges

Journal of Computational Physics 228 (5), 1591-1611, 2009
Unified stabilized finite element formulations for the Stokes and the Darcy problems
S Badia, R Codina

SIAM journal on Numerical Analysis 47 (3), 1971-2000, 2009
A stabilized finite element approximation of low speed thermally coupled flows
J Principe, R Codina

International Journal of Numerical Methods for Heat & Fluid Flow 18 (7/8 ..., 2008
Finite element approximation of the modified Boussinesq equations using a stabilized formulation
R Codina, JM González‐Ondina, G Díaz‐Hernández, J Principe

International Journal for Numerical Methods in Fluids 57 (9), 1249-1268, 2008
Finite element approximation of the hyperbolic wave equation in mixed form
R Codina

Computer Methods in Applied Mechanics and Engineering 197 (13), 1305-1322, 2008
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
R Codina

Applied Numerical Mathematics 58 (3), 264-283, 2008
A finite element model for free surface flows on fixed meshes
AH Coppola‐Owen, R Codina

International Journal for Numerical Methods in Fluids 54 (10), 1151-1171, 2007
An algebraic subgrid scale finite element method for the convected Helmholtz equation in two dimensions with applications in aeroacoustics
O Guasch, R Codina

Computer Methods in Applied Mechanics and Engineering 196 (45), 4672-4689, 2007
Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition
S Badia, R Codina

Numerische Mathematik 107 (4), 533-557, 2007
Algebraic pressure segregation methods for the incompressible Navier-Stokes equations
S Badia, R Codina

Archives of Computational Methods in Engineering 15 (3), 1-52, 2007
On some fluid–structure iterative algorithms using pressure segregation methods. Application to aeroelasticity
S Badia, R Codina

International Journal for Numerical Methods in Engineering 72 (1), 46-71, 2007
Dynamic subscales in the finite element approximation of thermally coupled incompressible flows
R Codina, J Principe

International journal for numerical methods in fluids 54 (6‐8), 707-730, 2007
A finite element method for the solution of rotary pumps
G Houzeaux, R Codina

Computers & Fluids 36 (4), 667-679, 2007
Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
R Codina, J Principe, O Guasch, S Badia

Computer Methods in Applied Mechanics and Engineering 196 (21), 2413-2430, 2007
Numerical comparison of CBS and SGS as stabilization techniques for the incompressible Navier–Stokes equations
R Codina, H Coppola‐Owen, P Nithiarasu, CB Liu

International Journal for Numerical Methods in Engineering 66 (10), 1672-1689, 2006
On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems
R Codina, S Badia

Computer Methods in Applied Mechanics and Engineering 195 (23), 2900-2918, 2006
Stabilized finite element approximation of the stationary magneto-hydrodynamics equations
R Codina, N Hernández-Silva

Computational Mechanics 38 (4-5), 344-355, 2006
Analysis of a stabilized finite element approximation of the transient convection-diffusion equation using an ALE framework
S Badia, R Codina

SIAM Journal on Numerical Analysis 44 (5), 2159-2197, 2006
The Characteristic‐Based Split (CBS) scheme—a unified approach to fluid dynamics
P Nithiarasu, R Codina, OC Zienkiewicz

International Journal for Numerical Methods in Engineering 66 (10), 1514-1546, 2006
Improving Eulerian two‐phase flow finite element approximation with discontinuous gradient pressure shape functions
AH Coppola‐Owen, R Codina

International journal for numerical methods in fluids 49 (12), 1287-1304, 2005
A finite element model for the simulation of lost foam casting
G Houzeaux, R Codina

International journal for numerical methods in fluids 46 (2), 203-226, 2004
A stabilized finite element predictor–corrector scheme for the incompressible Navier–Stokes equations using a nodal‐based implementation
R Codina, A Folch

International Journal for Numerical Methods in Fluids 44 (5), 483-503, 2004
Error estimates for an operator-splitting method for incompressible flows
J Blasco, R Codina

Applied Numerical Mathematics 51 (1), 1-17, 2004
Approximation of the incompressible Navier–Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes
R Codina, O Soto

Computer Methods in Applied Mechanics and Engineering 193 (15), 1403-1419, 2004
An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection–diffusion problems
G Houzeaux, R Codina

Journal of Computational and Applied Mathematics 158 (2), 243-276, 2003
A Chimera method based on a Dirichlet/Neumann (Robin) coupling for the Navier–Stokes equations
G Houzeaux, R Codina

Computer Methods in Applied Mechanics and Engineering 192 (31), 3343-3377, 2003
A numerical model to track two‐fluid interfaces based on a stabilized finite element method and the level set technique
R Codina, O Soto

International Journal for Numerical Methods in Fluids 40 (1‐2), 293-301, 2002
CBS versus GLS stabilization of the incompressible Navier–Stokes equations and the role of the time step as stabilization parameter
R Codina, OC Zienkiewicz

International Journal for Numerical Methods in Biomedical Engineering 18 (2 ..., 2002
Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales
R Codina, J Blasco

Computing and Visualization in Science 4 (3), 167-174, 2002
Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
R Codina

Computer Methods in Applied Mechanics and Engineering 191 (39), 4295-4321, 2002
Transmission conditions with constraints in finite element domain decomposition methods for flow problems
G Houzeaux, R Codina

International Journal for Numerical Methods in Biomedical Engineering 17 (3 ..., 2001
Space and time error estimates for a first order, pressure stabilized finite element method for the incompressible Navier–Stokes equations
J Blasco, R Codina

Applied Numerical Mathematics 38 (4), 475-497, 2001
Implementation of a stabilized finite element formulation for the incompressible Navier–Stokes equations based on a pressure gradient projection
R Codina, J Blasco, GC Buscaglia, A Huerta

International Journal for Numerical Methods in Fluids 37 (4), 419-444, 2001
A stabilized finite element method for generalized stationary incompressible flows
R Codina

Computer Methods in Applied Mechanics and Engineering 190 (20), 2681-2706, 2001
Pressure stability in fractional step finite element methods for incompressible flows
R Codina

Journal of Computational Physics 170 (1), 112-140, 2001
A nodal‐based implementation of a stabilized finite element method for incompressible flow problems
R Codina

International Journal for numerical methods in fluids 33 (5), 737-766, 2000
Fourier analysis of an equal‐order incompressible flow solver stabilized by pressure gradient projection
GC Buscaglia, FG Basombrio, R Codina

International journal for numerical methods in fluids 34 (1), 65-92, 2000
Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
R Codina, J Blasco

Numerische Mathematik 87 (1), 59-81, 2000
On stabilized finite element methods for linear systems of convection–diffusion-reaction equations
R Codina

Computer Methods in Applied Mechanics and Engineering 188 (1), 61-82, 2000
Stabilized finite element method for the transient Navier–Stokes equations based on a pressure gradient projection
R Codina, J Blasco

Computer Methods in Applied Mechanics and Engineering 182 (3), 277-300, 2000
Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
R Codina

Computer methods in applied mechanics and engineering 190 (13), 1579-1599, 2000
Numerical solution of the incompressible Navier–Stokes equations with Coriolis forces based on the discretization of the total time derivative
R Codina

Journal of Computational Physics 148 (2), 467-496, 1999
Finite element implementation of two‐equation and algebraic stress turbulence models for steady incompressible flows
R Codina, O Soto

International journal for numerical methods in fluids 30 (3), 309-333, 1999
The characteristic‐based‐split procedure: an efficient and accurate algorithm for fluid problems
OC Zienkiewicz, P Nithiarasu, R Codina, M Vazquez, P Ortiz

International Journal for Numerical Methods in Fluids 31 (1), 359-392, 1999
A numerical model for temporal variations during explosive central vent eruptions
A Folch, J Martí, R Codina, M Vazquez

Journal of Geophysical Research: Solid Earth 103 (B9), 20883-20899, 1998
Shock capturing viscosities for the general fluid mechanics algorithm
P Nithiarasu, OC Zienkiewicz, BVK Sai, K Morgan, R Codina, M Vazquez

International Journal for Numerical Methods in Fluids 28 (9), 1325-1353, 1998
A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm
J Blasco Lorente, R Codina, A Huerta

International Journal for Numerical Methods in Fluids 28 (10), 1391-1419, 1998
A general algorithm for compressible and incompressible flows. Part III: The semi‐implicit form
R Codina, M Vázquez, OC Zienkiewicz

International Journal for Numerical Methods in Fluids 27 (1‐4), 13-32, 1998
Comparison of some finite element methods for solving the diffusion-convection-reaction equation
R Codina

Computer Methods in Applied Mechanics and Engineering 156 (1-4), 185-210, 1998
Finite element solution of the Stokes problem with dominating Coriolis force
R Codina, O Soto

Computer Methods in Applied Mechanics and Engineering 142 (3-4), 215-234, 1997
A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
R Codina, J Blasco

Computer Methods in Applied Mechanics and Engineering 143 (3-4), 373-391, 1997
Block-iterative algorithms for nonlinear coupled problems.
M Cervera, R Codina

CIMNE, 1996
SPLIT, CHARACTERISTIC BASED SEMI‐IMPLICIT ALGORITHM FOR LAMINAR/TURBULENT INCOMPRESSIBLE FLOWS
OC Zienkiewicz, BVK Satya Sai, K Morgan, R Codina

International Journal for Numerical Methods in Fluids 23 (8), 787-809, 1996
On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems
M Cervera, R Codina, M Galindo

Engineering computations 13 (6), 4-30, 1996
A general algorithm for compressible and incompressible flow—Part II. Tests on the explicit form
OC Zienkiewicz, K Morgan, BVK Sai, R Codina, M Vasquez

International Journal for Numerical Methods in Fluids 20 (8‐9), 887-913, 1995
A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
OC Zienkiewicz, R Codina

International Journal for Numerical Methods in Fluids 20 (8‐9), 869-885, 1995
Mould filling simulation using finite elements
R Codina, U Schäfer, E Oñate

International Journal of Numerical Methods for Heat & Fluid Flow 4 (4), 291-310, 1994
Stability analysis of the forward Euler scheme for the convection‐diffusion equation using the SUPG formulation in space
R Codina

International journal for numerical methods in engineering 36 (9), 1445-1464, 1993
An iterative penalty method for the finite element solution of the stationary Navier-Stokes equations
R Codina

Computer methods in applied mechanics and engineering 110 (3-4), 237-262, 1993
A finite element formulation for the numerical solution of the convection-diffusion equation
R Codina

Centro Internacional de Métodos Numéricos en Ingeniería, 1993
A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation
R Codina

Computer Methods in Applied Mechanics and Engineering 110 (3-4), 325-342, 1993
A finite element model for incompressible flow problems
R Codina

Universitat Politècnica de Catalunya, 1992
The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
R Codina, E Oñate, M Cervera

Computer Methods in Applied Mechanics and Engineering 94 (2), 239-262, 1992

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Documents published in Scipedia

Articles (Documents not available in Scipedia)

Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows

Mixed stabilized finite element methods in nonlinear solid mechanics. Part III: Compressible and incompressible plasticity

Large eddy simulation of low mach number flows using dynamic and orthogonal subgrid scales

Stabilized stress–velocity–pressure finite element formulations of the Navier–Stokes problem for fluids with non-linear viscosity

Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem

Anisotropic adaptive meshing and monolithic Variational Multiscale method for fluid–structure interaction

On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

Immersed stress method for fluid–structure interaction using anisotropic mesh adaptation

Explicit reduced‐order models for the stabilized finite element approximation of the incompressible Navier–Stokes equations

Statistical behavior of the orthogonal subgrid scale stabilization terms in the finite element large eddy simulation of turbulent flows

Stokes, Maxwell and Darcy: A single finite element approximation for three model problems

A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions

A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes

Approximation of the inductionless MHD problem using a stabilized finite element method

The Fixed‐Mesh ALE approach for the numerical simulation of floating solids

A finite element dynamical nonlinear subscale approximation for the low Mach number flow equations

Mesh objective modeling of cracks using continuous linear strain and displacement interpolations

On the stabilization parameter in the subgrid scale approximation of scalar convection–diffusion–reaction equations on distorted meshes

Long-term stability estimates and existence of a global attractor in a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling

Finite element approximation of turbulent thermally coupled incompressible flows with numerical sub-grid scale modelling

The fixed‐mesh ALE approach applied to solid mechanics and fluid–structure interaction problems

Stabilized continuous and discontinuous Galerkin techniques for Darcy flow

The dissipative structure of variational multiscale methods for incompressible flows

Mixed stabilized finite element methods in nonlinear solid mechanics: Part ii: Strain localization

Mathematical models for thermally coupled low speed flows

Subscales on the element boundaries in the variational two-scale finite element method

Finite element approximation of the three-field formulation of the Stokes problem using arbitrary interpolations

Approximate imposition of boundary conditions in immersed boundary methods

On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space–time discretization

The fixed-mesh ALE approach for the numerical approximation of flows in moving domains

Unified stabilized finite element formulations for the Stokes and the Darcy problems

A stabilized finite element approximation of low speed thermally coupled flows

Finite element approximation of the modified Boussinesq equations using a stabilized formulation

Finite element approximation of the hyperbolic wave equation in mixed form

Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales

A finite element model for free surface flows on fixed meshes

An algebraic subgrid scale finite element method for the convected Helmholtz equation in two dimensions with applications in aeroacoustics

Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition

Algebraic pressure segregation methods for the incompressible Navier-Stokes equations

On some fluid–structure iterative algorithms using pressure segregation methods. Application to aeroelasticity

Dynamic subscales in the finite element approximation of thermally coupled incompressible flows

A finite element method for the solution of rotary pumps

Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

Numerical comparison of CBS and SGS as stabilization techniques for the incompressible Navier–Stokes equations

On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems

Stabilized finite element approximation of the stationary magneto-hydrodynamics equations

Analysis of a stabilized finite element approximation of the transient convection-diffusion equation using an ALE framework

The Characteristic‐Based Split (CBS) scheme—a unified approach to fluid dynamics

Improving Eulerian two‐phase flow finite element approximation with discontinuous gradient pressure shape functions

A finite element model for the simulation of lost foam casting

A stabilized finite element predictor–corrector scheme for the incompressible Navier–Stokes equations using a nodal‐based implementation

Error estimates for an operator-splitting method for incompressible flows

Approximation of the incompressible Navier–Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes

An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection–diffusion problems

A Chimera method based on a Dirichlet/Neumann (Robin) coupling for the Navier–Stokes equations

A numerical model to track two‐fluid interfaces based on a stabilized finite element method and the level set technique

CBS versus GLS stabilization of the incompressible Navier–Stokes equations and the role of the time step as stabilization parameter

Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales

Stabilized finite element approximation of transient incompressible flows using orthogonal subscales

Transmission conditions with constraints in finite element domain decomposition methods for flow problems

Space and time error estimates for a first order, pressure stabilized finite element method for the incompressible Navier–Stokes equations

Implementation of a stabilized finite element formulation for the incompressible Navier–Stokes equations based on a pressure gradient projection

A stabilized finite element method for generalized stationary incompressible flows

Pressure stability in fractional step finite element methods for incompressible flows

A nodal‐based implementation of a stabilized finite element method for incompressible flow problems

Fourier analysis of an equal‐order incompressible flow solver stabilized by pressure gradient projection

Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations

On stabilized finite element methods for linear systems of convection–diffusion-reaction equations

Stabilized finite element method for the transient Navier–Stokes equations based on a pressure gradient projection

Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods

Numerical solution of the incompressible Navier–Stokes equations with Coriolis forces based on the discretization of the total time derivative

Finite element implementation of two‐equation and algebraic stress turbulence models for steady incompressible flows

The characteristic‐based‐split procedure: an efficient and accurate algorithm for fluid problems

A numerical model for temporal variations during explosive central vent eruptions

Shock capturing viscosities for the general fluid mechanics algorithm

A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm

A general algorithm for compressible and incompressible flows. Part III: The semi‐implicit form