Ramon Codina Profile : Scipedia

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Documents published in Scipedia

The fixed‐mesh ALE approach applied to solid mechanics and fluid–structure interaction problems
J. Baiges, R. Codina

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. The main feature of the method is that it properly accounts for the advection of information as the domain boundary evolves. To achieve this, we use an Arbitrary Lagrangian–Eulerian (ALE) framework, the distinctive characteristic being that at each time step results are projected onto a fixed, background mesh. For solid mechanics problems subject to large strains, the fixed‐mesh (FM)‐ALE method avoids the element stretching found in fully Lagrangian approaches. For FSI problems, FM‐ALE allows for the use of a single background mesh to solve both the fluid and the structure.
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. [...]
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The dissipative structure of variational multiscale methods for incompressible flows
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. We show that, only if the space of subscales is taken orthogonal to the finite element space, this definition is physically reasonable as the coarse and fine scales are properly separated. Then we compare the diffusion introduced by the numerical discretization of the problem with the diffusion introduced by a large eddy simulation model. Results for the flow around a surface-mounted obstacle problem show that numerical dissipation is of the same order as the subgrid dissipation introduced by the Smagorinsky model. Finally, when transient subscales are considered, the model is able to predict backscatter, something that is only possible when dynamic LES closures are used. Numerical evidence supporting this point is also presented.
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. [...]
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A numerical strategy to compute optical parameters in turbulent flow. Application to telescopes
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 Navier-Stokes equations, which are approximated using a finite element method. From the time evolution of the flow parameters we describe how to compute statistics of the flow variables and, from them, the parameters that determine the quality of the visibility. The methodology is applied to estimate the optical quality around telescope enclosures.
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 [...]
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Approximate imposition of boundary conditions in immersed boundary methods
R. Codina, J. Baiges

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 method with a mesh that does not match the boundary of the computational domain, and therefore Dirichlet boundary conditions need to be prescribed in an approximate way. As starting variational approach we consider Nitsche's methods, and we then move to two options that yield non‐symmetric problems but that turned out to be robust and efficient. The essential idea is to use the degrees of freedom of certain nodes of the finite element mesh to minimize the difference between the exact and the approximated boundary condition
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 [...]
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Computational aeroacoustics of viscous low speed flows using subgrid scale finite element methods
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 is followed that makes use of Lighthill's acoustic analogy in the frequency domain. The procedure has been conceptually divided into three steps. In the first one, the incompressible Navier–Stokes equations are solved to obtain the flow velocity field. In the second step, Lighthill's acoustic source term is computed from this velocity field and then Fourier transformed to the frequency domain. Finally, the acoustic pressure field is obtained by solving the corresponding inhomogeneous Helmholtz equation. All equations in the formulation are solved using subgrid scale stabilized finite element methods. The main ideas of the subgrid scale numerical strategy are outlined and its benefits when compared to the Galerkin approach are described. As numerical examples, the aerodynamic noise generated by flow past a two-dimensional cylinder and by flow past two cylinders in parallel arrangement are addressed.
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 [...]
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Mathematical models for thermally coupled low speed flows
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 exchange (the isentropic regime) this limit is well understood and rigorous results are available. When heat exchange is considered different simplified models can be obtained, the most famous being the Boussinesq approximation. Here a unified formal justification of these models is presented, paying special attention to the relation between the low Mach number and the Boussinesq approximations. Precise conditions for their validity are given for classical problems in bounded domains.
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 [...]
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Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
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 from the interest of this fact, the important issue is that we are able to deal with both problems at the same time, in a completely unified manner, in spite of the fact that the functional setting is different. Concerning the stabilization formulation, we discuss the effect of the choice of the length scale appearing in the expression of the stabilization parameters, both in what refers to stability and to accuracy. This choice is shown to be crucial in the case of Darcy's problem. As an additional feature of this work, we treat two types of stabilized formulations, showing that they have a very similar behavior
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 [...]
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A numerical approximation of the thermal coupling of fluids and solids
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 the fluid part and the solid part. This global thermal problem presents discontinuous physical properties that depend on the solution of auxiliary problems on each part of the domain (a fluid flow problem and a solid state problem). We present a domain decomposition strategy to iteratively solve problems posed in both subdomains and discuss some implementation aspects of the algorithm. This domain decomposition framework is also used to revisit the use of wall function approaches used in this context.
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 [...]
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On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space–time discretization
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. We define an anisotropic time–space discretization as a family of time–space partitions that does not satisfy the condition h2⩽Cδt with C uniform with respect to h and δt. Standard residual-based stabilization techniques are motivated by a multiscale approach, approximating the effect of the subscales onto the large scales. One of the approximations is to consider the subscales quasi-static (neglecting their time derivative). It is well known that these techniques are unstable for anisotropic time–space discretizations. We show that the use of dynamic subscales (where the subscales time derivatives are not neglected) solves the problem, and prove optimal convergence and stability results that are valid for anisotropic time–space discretizations. Also the improvements related to the use of orthogonal subscales are addressed.
Abstract
In this article, we analyze some residual-based stabilization techniques for the transient Stokes problem when considering anisotropic time–space discretizations. [...]
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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 (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 to be presented falls within the category of fixed-grid methods. Even though the imposition of boundary conditions is a key ingredient that is very often used to classify the fixed-grid method, our approach can be applied together with any technique to impose approximately boundary conditions, although we also describe the one we actually favor. Our main concern is to properly account for the advection of information as the domain boundary evolves. To achieve this, we use an arbitrary Lagrangian–Eulerian framework, the distinctive feature being that at each time step results are projected onto a fixed, background mesh, that is where the problem is actually solved.
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 [...]
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- read

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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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