A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking

M Cervera, GB Barbat, M Chiumenti, JY Wu - Archives of Computational …, 2022 - Springer
In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

A review of variational multiscale methods for the simulation of turbulent incompressible flows

N Ahmed, T Chacon Rebollo, V John… - Archives of Computational …, 2017 - Springer
Various realizations of variational multiscale (VMS) methods for simulating turbulent
incompressible flows have been proposed in the past fifteen years. All of these realizations …

[BOG][B] Finite element methods for incompressible flow problems

V John - 2016 - Springer
Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

Stabilized finite element approximation of transient incompressible flows using orthogonal subscales

R Codina - Computer methods in applied mechanics and …, 2002 - Elsevier
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 and subgrid …

[PDF][PDF] Variational multiscale methods in computational fluid dynamics

R Codina, S Badia, J Baiges, J Principe - … of computational mechanics, 2018 - deca.upc.edu
This article describes the Variational Multiscale Method (VMS) applied to flow problems. The
main idea of the formulation in the case of stationary linear problems is explained with some …

Continuous interior penalty finite element method for Oseen's equations

E Burman, MA Fernández, P Hansbo - SIAM journal on numerical analysis, 2006 - SIAM
In this paper we present an extension of the continuous interior penalty method of Douglas
and Dupont [Interior penalty procedures for elliptic and parabolic Galerkin methods, in …

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

S Badia, R Codina - SIAM journal on Numerical Analysis, 2009 - SIAM
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 …

Mixed stabilized finite element methods in nonlinear solid mechanics: Part I: Formulation

M Cervera, M Chiumenti, R Codina - Computer Methods in Applied …, 2010 - Elsevier
This paper exploits the concept of stabilized finite element methods to formulate stable
mixed stress/displacement and strain/displacement finite elements for the solution of …

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 …, 2015 - Elsevier
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 …

[HTML][HTML] Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models

C Abugattas, A Aguirre, E Castillo… - Applied Mathematical …, 2020 - Elsevier
In this work, a variational multiscale finite element formulation is used to study bifurcation
flows of non-Newtonian fluids, using a representative simplified Carotid Artery geometry. In …