Numerical methods for viscoelastic fluid flows

MA Alves, PJ Oliveira, FT Pinho - Annual Review of Fluid …, 2021 - annualreviews.org
Complex fluids exist in nature and are continually engineered for specific applications
involving the addition of macromolecules to a solvent, among other means. This imparts …

[HTML][HTML] Stabilization of an open-source finite-volume solver for viscoelastic fluid flows

F Pimenta, MA Alves - Journal of Non-Newtonian Fluid Mechanics, 2017 - Elsevier
In this work, we modify the viscoelastic solver available in the OpenFOAM® toolbox (Favero
et al., 2010), in order to improve its stability for differential-type constitutive equations. The …

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] An adaptive solver for viscoelastic incompressible two-phase problems applied to the study of the splashing of weakly viscoelastic droplets

JM López-Herrera, S Popinet… - Journal of Non-Newtonian …, 2019 - Elsevier
We propose an adaptive numerical solver for the study of viscoelastic 2D two-phase flows
using the volume-of-fluid method. The scheme uses the robust log conformation tensor …

On the similarities between the simplified Phan-Thien–Tanner model and the finitely extensible nonlinear elastic dumbbell (Peterlin closure) model in simple and …

M Davoodi, K Zografos, PJ Oliveira, RJ Poole - Physics of Fluids, 2022 - pubs.aip.org
For many commonly used viscoelastic constitutive equations, it is well known that the limiting
behavior is that of the Oldroyd-B model. Here, we compare the response of the simplified …

A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow

X Chen, H Marschall, M Schäfer… - International Journal of …, 2013 - Taylor & Francis
In this work we compare different stabilisation approaches currently used in the simulation of
viscoelastic fluid flow. These approaches are: the both-sides diffusion, the positive …

Robust simulations of viscoelastic flows at high Weissenberg numbers with the streamfunction/log-conformation formulation

R Comminal, J Spangenberg, JH Hattel - Journal of Non-Newtonian Fluid …, 2015 - Elsevier
A new streamfunction/log-conformation formulation of incompressible viscoelastic flows is
presented. The log-conformation representation guaranties the positive-definiteness of the …

Numerical simulation of two-dimensional unsteady Giesekus flow over a circular cylinder

S Peng, J Li, Y **ong, X Xu, P Yu - Journal of Non-Newtonian Fluid …, 2021 - Elsevier
This study numerically examines vortex shedding of two-dimensional viscoelastic flow over
a circular cylinder at a Reynolds number of 100. The Giesekus model is selected to describe …

[HTML][HTML] On the molecular mechanism behind the bubble rise velocity jump discontinuity in viscoelastic liquids

D Bothe, M Niethammer, C Pilz, G Brenn - Journal of Non-Newtonian Fluid …, 2022 - Elsevier
Bubbles rising in viscoelastic liquids may exhibit a jump discontinuity of the rise velocity as a
critical bubble volume is exceeded. This phenomenon has been extensively investigated in …

A two-phase solver for complex fluids: Studies of the Weissenberg effect

RA Figueiredo, CM Oishi, AM Afonso, IVM Tasso… - International Journal of …, 2016 - Elsevier
In this work a new two-phase solver is presented and described, with a particular interest in
the solution of highly elastic flows of viscoelastic fluids. The proposed code is based on a …