Zeitschrift für angewandte Mathematik und Physik

, Volume 61, Issue 4, pp 673–684

A fast numerical approach for the simulation of highly viscous non-isothermal non-Newtonian fluids

  • Stefan Kopecz
  • Mathias Krebs
  • Andreas Meister
  • Olaf Wünsch
Article

DOI: 10.1007/s00033-010-0067-2

Cite this article as:
Kopecz, S., Krebs, M., Meister, A. et al. Z. Angew. Math. Phys. (2010) 61: 673. doi:10.1007/s00033-010-0067-2

Abstract

This paper deals with the efficient simulation of polymer melts, as an example of highly viscous non-isothermal non-Newtonian fluids. In flow fields of our interest, which are characterized by small Reynolds numbers and large Prandtl numbers, steep gradients occur in thin boundary layers of the temperature distribution, whereas the boundary layers associated with the velocity field possess a considerable different length scale. In order to benefit from these properties, we introduce a physically motivated multigrid approach by computing velocity and temperature fields on different meshes. This new development is achieved by the modification of a discrete projection method. Numerical experiments are presented which confirm that the method decreases the computational effort considerably, while preserving the numerical accuracy.

Mathematics Subject Classification (2000)

Primary 76A05 Secondary 76D05 76M10 

Keywords

Polymer melts Finite elements Projection method Non-isothermal non-Newtonian flow 

Copyright information

© Birkhäuser / Springer Basel AG 2010

Authors and Affiliations

  • Stefan Kopecz
    • 1
  • Mathias Krebs
    • 2
  • Andreas Meister
    • 1
  • Olaf Wünsch
    • 2
  1. 1.Fachbereich für MathematikUniversität KasselKasselGermany
  2. 2.Institut für MechanikUniversität KasselKasselGermany