Ten Years Using Discontinuous Galerkin Methods for Polymer Processing Problems

  • A. Fortin
  • A. Béliveau
  • M. C. Heuzey
  • A. Lioret
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 11)

Abstract

The numerical simulation of polymer processing problems requires important computer ressources making essential the development of very efficient numerical techniques. Among the difficulties, the viscoelastic nature of polymers is the most important. Nonlinear multi-mode differential models exist to describe their behaviour, but their hyperbolic (convective) nature makes numerical simulations quite difficult. The presence of free surfaces in problems such as injection molding process, extrusion die swell, coextrusion, etc. further enhance the complexity.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [PTT]
    Phan-Thien N., Tanner R.I., Journal for Non-Newtonian Fluid Mechanics, 2, p. 353, (1977).CrossRefGoogle Scholar
  2. [FF]
    Fortin M., Fortin A., A New Approach for the FEM Simulation of Viscoelastic Flows, Journal for Non-Newtonian Fluid Mechanics, JNNFM, 32, pp. 295–310, (1989).MATHGoogle Scholar
  3. [FZA]
    Fortin A., Zine A., Agassant J.F., Computing Viscoelastic Fluid Flow at Low Cost, JNNFM, 45, 209–229, (1992).MATHGoogle Scholar
  4. [DBF]
    Demay Y., Béliveau A., Fortin A., A Numerical Method for the Deformation of Two-dimensional Drops with Surface Tension, Int. J. Comp. Fluid Dynamics, Vol. 10, 225–240, (1998).MATHCrossRefGoogle Scholar
  5. [LR]
    Lesaint P., Raviart P.A., C. de Boor, Academic Press, p. 89, (1974).Google Scholar
  6. [GF]
    Guénette, R., Fortin M., Numerical Analysis of the Modified EVSS Method, JNNFM, 60, (1995).Google Scholar
  7. [FGP]
    Fortin A., Guénette R., Pierre R., On the discrete EVSS Method, submitted to Comp. Meth. Appl. Mech. Eng., (1999).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • A. Fortin
    • 1
  • A. Béliveau
    • 1
  • M. C. Heuzey
    • 1
  • A. Lioret
    • 1
  1. 1.Département de Mathématiques et de Génie IndustrielÉcole Polytechnique de MontréalMontréalCanada

Personalised recommendations