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A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking
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 …
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
Various realizations of variational multiscale (VMS) methods for simulating turbulent
incompressible flows have been proposed in the past fifteen years. All of these realizations …
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 …
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 …
Stokes equations based on the decomposition of the unknowns into resolvable and subgrid …
[PDF][PDF] Variational multiscale methods in computational fluid dynamics
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 …
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
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 …
and Dupont [Interior penalty procedures for elliptic and parabolic Galerkin methods, in …
Unified stabilized finite element formulations for the Stokes and the Darcy problems
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 …
problems that accommodate any interpolation of velocities and pressures. Apart from the …
Mixed stabilized finite element methods in nonlinear solid mechanics: Part I: Formulation
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 …
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
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 …
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
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 …
flows of non-Newtonian fluids, using a representative simplified Carotid Artery geometry. In …