Result: Sub-cell approximations for viscoelastic flows: filament stretching

Title:
Sub-cell approximations for viscoelastic flows: filament stretching
Authors:
WEBSTER, M. F, MATALLAH, H, SUJATHA, K. S
Source:
Annual European Rheology Conference 2003, Guimarães, Portugal, 11-13 September, 2003Journal of non-newtonian fluid mechanics. 126(2-3):187-205
Publisher Information:
Amsterdam: Elsevier, 2005.
Publication Year:
2005
Physical Description:
print, 29 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Polymers, paint and wood industries, Polymères, industries des peintures et bois, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Dynamique des fluides non newtoniens, Non-newtonian fluid flows, Non-Newtonian fluid flows, Ecoulement surface libre, Free surface flow, Flujo superficie libre, Ecoulement élongationnel, Elongational flow, Flujo elongacional, Etirement, Stretching, Estiramiento, Filament, Filaments, Fluide viscoélastique, Viscoelastic fluid, Fluido viscoelástico, Méthode volume fini, Finite volume methods, Méthode élément fini, Finite element method, Simulation numérique, Digital simulation, Filament stretching, Finite element/volume simulations, Hencky-strain, Sub-cell, Viscoelastic flows
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Institute of Non-Newtonian Fluid Mechanics, Department of Computer Science, University of Wales Swansea, Singleton Park, SA28PP Swansea, United Kingdom
ISSN:
0377-0257
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16720147
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: fluid mechanics
Accession Number:
edscal.16720147
Database:
PASCAL Archive

Further Information

The accuracy, stability and consistency of new stress interpolation schemes are investigated, based upon sub-cell approximations. This includes the contrast of two alternative hybrid spatial discretisations: a cell-vertex finite element/volume (fe/fv) scheme and a finite element equivalent (fe). Here, the interest is to explore the consequences of utilizing conventional methodology and to demonstrate resulting drawbacks in the presence of complex stress equation source terms. Alternative strategies worthy of consideration are presented for a constant shear viscosity model, that of Oldroyd-B, with strain-hardening and unbounded extensional properties. We demonstrate how high-order accuracy may be achieved by respecting consistency in our algorithmic constructions. Both fe- and fv-spatial discretisations are embedded within this methodology. Linear interpolation for stress, of either fe- or fv-form on triangular sub-cells, is referenced within parent triangular finite elements in two dimensions. Finite element discretisation is employed for the momentum and continuity system, via a second-order pressure-correction scheme.