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 …

[KSIĄŻKA][B] Computational rheology

RG Owens, TN Phillips - 2002 - World Scientific
The following sections are included: Advances in Mathematical Modelling Dynamics of
Dilute Polymer Solutions The Rouse model Dumbbell models Closure Approximations …

A convergent and universally bounded interpolation scheme for the treatment of advection

MA Alves, PJ Oliveira, FT Pinho - International journal for …, 2003 - Wiley Online Library
A high resolution scheme with improved iterative convergence properties was devised by
incorporating total‐variation diminishing constraints, appropriate for unsteady problems, into …

The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries

LE Rodd, TP Scott, DV Boger, JJ Cooper-White… - Journal of Non …, 2005 - Elsevier
The non-Newtonian flow of dilute aqueous polyethylene oxide (PEO) solutions through
micro-fabricated planar abrupt contraction–expansions is investigated. The small …

Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions

MA Alves, PJ Oliveira, FT Pinho - Journal of Non-Newtonian Fluid …, 2003 - Elsevier
The paper presents very accurate numerical results for the vortex size, the vortex intensity
and the Couette correction, in planar contraction flows of Oldroyd-B and PTT fluids (ε= 0.25) …

Role of the elasticity number in the entry flow of dilute polymer solutions in micro-fabricated contraction geometries

LE Rodd, JJ Cooper-White, DV Boger… - Journal of Non …, 2007 - Elsevier
We explore the interplay of fluid inertia and fluid elasticity in planar entry flows by studying
the flow of weakly elastic solutions through micro-fabricated planar contraction geometries …

The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods

MA Alves, FT Pinho, PJ Oliveira - Journal of Non-Newtonian Fluid …, 2001 - Elsevier
Accurate solutions are obtained with the numerical method of Oliveira et al.[J. Non-
Newtonian Fluid Mech. 79 (1998) 1] for the inertialess plane flow around a confined cylinder …

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 …

The log-conformation tensor approach in the finite-volume method framework

A Afonso, PJ Oliveira, FT Pinho, MA Alves - Journal of Non-Newtonian Fluid …, 2009 - Elsevier
The log-conformation formulation, proposed by Fattal and Kupferman [J. Non-Newt. Fluid
Mech. 123 (2004) 281], has helped to provide further insights into the High-Weissenberg …

Direct numerical simulation of viscoelastic drag-reducing flow: a faithful finite difference method

B Yu, Y Kawaguchi - Journal of Non-Newtonian Fluid Mechanics, 2004 - Elsevier
Viscoelastic drag-reducing flows created by additives have been studied recently by using
an artificial diffusion spectral method [Phys. Fluids 9 (1997) 743] or a local artificial diffusion …