Stabilised variational multi-scale finite element formulations for viscoelastic fluids

E Castillo, L Moreno, J Baiges, R Codina - Archives of Computational …, 2021 - Springer
The objective of this article is to summarise the work that we have been doing as a group in
the context of stabilised finite element formulations for viscoelastic fluid flows. Viscoelastic …

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

E Castillo, R Codina - Computer Methods in Applied Mechanics and …, 2014 - Elsevier
In this paper, three-field finite element stabilized formulations are proposed for the numerical
solution of incompressible viscoelastic flows. These methods allow one to use equal …

Hemodynamic analysis in an idealized artery tree: differences in wall shear stress between Newtonian and non-Newtonian blood models

JC Weddell, JH Kwack, PI Imoukhuede, A Masud - PloS one, 2015 - journals.plos.org
Development of many conditions and disorders, such as atherosclerosis and stroke, are
dependent upon hemodynamic forces. To accurately predict and prevent these conditions …

A new generalized Oldroyd-B model for blood flow in complex geometries

M Anand, J Kwack, A Masud - International Journal of Engineering Science, 2013 - Elsevier
A new generalization of the Oldroyd-B model is developed to describe the flow of blood. The
model is developed within a thermodynamic framework which recognizes that a viscoelastic …

A unified determinant-preserving formulation for compressible/incompressible finite viscoelasticity

IPA Wijaya, O Lopez-Pamies, A Masud - … of the Mechanics and Physics of …, 2023 - Elsevier
This paper presents a formulation alongside a numerical solution algorithm to describe the
mechanical response of bodies made of a large class of viscoelastic materials undergoing …

Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation

L Moreno, R Codina, J Baiges, E Castillo - Computer Methods in Applied …, 2019 - Elsevier
The log-conformation reformulation, originally proposed by Fattal and Kupferman (2004),
allows computing incompressible viscoelastic problems with high Weissenberg numbers …

First, second and third order fractional step methods for the three-field viscoelastic flow problem

E Castillo, R Codina - Journal of Computational Physics, 2015 - Elsevier
In this paper, three different fractional step methods are designed for the three-field
viscoelastic flow problem, whose variables are velocity, pressure and elastic stress. The …

A three-field local projection stabilized formulation for computations of Oldroyd-B viscoelastic fluid flows

J Venkatesan, S Ganesan - Journal of Non-Newtonian Fluid Mechanics, 2017 - Elsevier
A new three-field formulation based on the Local Projection Stabilization (LPS) is developed
for computations of the coupled Navier–Stokes and Oldroyd-B viscoelastic constitutive …

Finite element approximation of the viscoelastic flow problem: A non-residual based stabilized formulation

E Castillo, R Codina - Computers & Fluids, 2017 - Elsevier
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 …

Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law

S Wittschieber, L Demkowicz, M Behr - Journal of Non-Newtonian Fluid …, 2022 - Elsevier
Logarithmic conformation reformulations for viscoelastic constitutive laws have alleviated the
high Weissenberg number problem, and the exploration of highly elastic flows became …