Treffer: Alternative subcell discretisations for viscoelastic flow : Stress interpolation

Title:
Alternative subcell discretisations for viscoelastic flow : Stress interpolation
Authors:
BELBLIDIA, F, MATALLAH, H, PUANGKIRD, B, WEBSTER, M. F
Source:
3rd Annual European Rheology Conference AERC 2006, Hersonisos, Crete, Greece, 27-29 April 2006Journal of non-newtonian fluid mechanics. 146(1-3):59-78
Publisher Information:
Amsterdam: Elsevier, 2007.
Publication Year:
2007
Physical Description:
print, 36 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, Contraction brusque, Sudden contraction, Contracción brusca, Convergence numérique, Numerical convergence, Convergencia numérica, Ecoulement cavité, Cavity flow, Flujo cavidad, Ecoulement conduite, Pipe flow, Fluide viscoélastique, Viscoelastic fluid, Fluido viscoelástico, Génération maille, Mesh generation, Modélisation, Modelling, Méthode élément fini, Finite element method, Schéma décentré, Upwind scheme, Esquema decentrado, Simulation numérique, Digital simulation, High-order pressure-correction, Stability, Subcell approximations, Upwinding, Viscoelastic
Time:
4711, 4750
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Institute of Non-Newtonian Fluid Mechanics, Department of Computer Science, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom
King Mongkut's Institute of Technology Ladkrabang, Bangkok 10520, Thailand
ISSN:
0377-0257
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=19108949
Rights:
Copyright 2007 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.19108949
Database:
PASCAL Archive

Weitere Informationen

This study is concerned with the investigation of the associated properties of subcell discretisations for viscoelastic flows, where aspects of compatibility of solution function spaces are paramount. We introduce one new scheme, through a subcell finite element approximation fe(sc), and compare and contrast this against two precursor schemes-one with finite element discretisation in common, but at the parent element level quad-fe; the other, at the subcell level appealing to hybrid finite element/finite volume discretisation fe/fv(sc). To conduct our comparative study, we consider Oldroyd modelling and two classical steady benchmark flow problems to assess issues of numerical accuracy and stability-cavity flow and contraction flow. We are able to point to specific advantages of the finite element subcell discretisation and appreciate the characteristic properties of each discretisation, by analysing stress and flow field structure up to critical states of Weissenberg number. Findings reveal that the subcell linear approximation for stress within the constitutive equation (either fe or fv) yields a more stable scheme, than that for its quadratic counterpart (quad-fe), whilst still maintaining second-third order accuracy. The more compatible form of stress interpolation within the momentum equation is found to be via the subcell elements under fe(sc); yet, this makes no difference under fe/fv(sc). Furthermore, improvements in solution representation are gathered through enhanced upwinding forms, which may be coupled to stability gains with strain-rate stabilisation.