Skip to main content
SpringerLink
Log in

On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods

  • Published:
Journal of Scientific Computing Aims and scope Submit manuscript

Abstract

We report numerical results on the simulation of unsteady flow of an Oldroyd-B fluid by spectral element methods. Several techniques to cure the instabilities are considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Atalık, K., and Keunings, R. (2002). Non-linear temporal stability analysis of viscoelastic plane channel flows using a fully-spectral method. J. Non-Newtonian Fluid Mech. 102, 299–315.

    Google Scholar 

  2. Bogaerds, A., Peters, G., and Baaijens, F. (2000). Temporal stability of low-order continuous and discontinuous mixed finite element techniques for viscoelastic fluid mechanics. In Binding, D. M., Hudson, N. E., Mewis, J., Piau, J.-M., Petrie, C. J. S., Townsend, P., Wagner, M. H., and Walters, K. (eds.), Proceedings of the XIIIth International Congress on Rheology, Vol. 2, British Society of Rheology, Glasgow, Scotland, pp. 199–201.

    Google Scholar 

  3. Chauviére, C., and Owens, R. G. (2001). A new spectral element method for the reliable computation of viscoelastic flow. Comput. Methods Appl. Mech. Engrg. 190, 3999–4018.

    Google Scholar 

  4. Fiétier, N., and Deville, M. O. (2001). Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability. J. Comput. Phys. submitted.

  5. Guillopé, C., and Saut J.-C. (1990). Global existance and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. Math. Model. Numer. Anal. 24, 369–401.

    Google Scholar 

  6. Owens, R. G., and Chauvière, C. (2002). A locally-upwinded spectral technique (LUST) for viscoelastic flows. J. Non-Newtonian Fluid Mech. submitted.

  7. Sureshkumar, R., and Beris, A. N. (1995). Effect of artificial stress diffusivity on the stability of numerical calculations and the flow dynamics of time-dependent viscoelastic flows. J. Non-Newtonian Fluid Mech. 60, 53–80.

    Google Scholar 

  8. Wilson H. J., Renardy M., and Renardy Y. (1999). Structure of the spectrum in zero Reynolds number shear flow of the UCM and Oldroyd-B liquids. J. Non-Newtonian Fluid Mech. 80, 251–268.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. FSTI-IE-LMF, Ecole Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    Alexei Lozinski & Robert G. Owens

  2. FSB-IMA, Ecole Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    Alfio Quarteroni

Authors
  1. Alexei Lozinski
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert G. Owens
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Alfio Quarteroni
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lozinski, A., Owens, R.G. & Quarteroni, A. On the Simulation of Unsteady Flow of an Oldroyd-B Fluid by Spectral Methods. Journal of Scientific Computing 17, 375–383 (2002). https://doi.org/10.1023/A:1015185605861

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1015185605861

Search

Navigation