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 …

[HTML][HTML] Stress–displacement stabilized finite element analysis of thin structures using solid-shell elements, Part I: On the need of interpolating the stresses

A Aguirre, R Codina, J Baiges - Finite Elements in Analysis and Design, 2024 - Elsevier
This work studies the solid-shell finite element approach to approximate thin structures using
a stabilized mixed displacement–stress formulation based on the Variational Multiscale …

Consistent splitting schemes for incompressible viscoelastic flow problems

DRQ Pacheco, E Castillo - International Journal for Numerical …, 2023 - Wiley Online Library
Viscoelastic fluids are highly challenging from the rheological standpoint, and their
discretization demands robust, efficient numerical solvers. Simulating viscoelastic flows …

A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics

I Castañar, R Codina, J Baiges - International Journal for …, 2023 - Wiley Online Library
In this work a new methodology for finite strain solid dynamics problems for stress accurate
analysis including the incompressible limit is presented. In previous works, the authors have …

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 …

[HTML][HTML] A mixed stabilized MPM formulation for incompressible hyperelastic materials using Variational Subgrid-Scales

L Moreno, R Wuechner, A Larese - Computer Methods in Applied …, 2025 - Elsevier
Abstract The Material Point Method (MPM) stands as a continuum-based particle technique
designed for addressing large deformation problems. However, the treatment of …

[HTML][HTML] Numerical simulation of Fluid–Structure Interaction problems with viscoelastic fluids using a log-conformation reformulation

L Moreno, I Castañar, R Codina, J Baiges… - Computer Methods in …, 2023 - Elsevier
In this paper the numerical simulation of the interaction between Oldroyd-B viscoelastic fluid
flows and hyperelastic solids is approached. The algorithm employed is a classical block …

Solution of transient viscoelastic flow problems approximated by a term-by-term VMS stabilized finite element formulation using time-dependent subgrid-scales

L Moreno, R Codina, J Baiges - Computer Methods in Applied Mechanics …, 2020 - Elsevier
Some finite element stabilized formulations for transient viscoelastic flow problems are
presented in this paper. These are based on the Variational Multiscale (VMS) method …

Numerical simulation of non-isothermal viscoelastic fluid flows using a VMS stabilized finite element formulation

L Moreno, R Codina, J Baiges - Journal of Non-Newtonian Fluid Mechanics, 2021 - Elsevier
The effect of temperature in viscoelastic fluid flows is studied applying a stabilized finite
element formulation based on both a standard and a log-conformation reformulation (LCR) …

Temporal artificial stress diffusion for numerical simulations of Oldroyd-B fluid flow

M Pires, T Bodnár - Mathematics, 2022 - mdpi.com
This paper presents a numerical evaluation of two different artificial stress diffusion
techniques for the stabilization of viscoelastic Oldroyd-B fluid flows at high Weissenberg …