Skip to main content
SpringerLink
Log in

Semi-GLS Stabilization of FEM Applied to Incompressible Flows with Higher Reynolds Numbers

  • Conference paper
  • First Online:
Computational Fluid Dynamics 2006

  • 1864 Accesses

Summary

We deal with 2D flows of incompressible viscous fluids with higher Reynolds numbers. Galerkin Least Square technique of stabilization of the finite element method is modified to semi-GLS stabilization. Results of numerical experiments are presented. Positive as well as negative properties of stabilization are discussed, esp. the loss of accuracy is carefully traced, using a posteriori error estimates.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. Burda, P., Novotný, J., Sousedík, B.: A posteriori error estimates applied to flow in a channel with corners. Mathematics and Computers in Simulation, 61, 375-383 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Burda, P., Novotný, J., vSístek, J.:Precise FEM solution of a corner singularity using an adjusted mesh.Int. J. Numer. Meth. Fluids, 47, 1285–1292 (2005)

    Article  MATH  Google Scholar 

  3. Burda, P., Novotný, J., vSístek, J.: On a modification of GLS stabilized FEM for solving incompressible viscous flows. Int. J. Numer. Meth. Fluids, 51, 1001–1016 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. Franca, L.P., Madureira, A.L.: Element diameter free stability parameters for stabilized methods applied to fluids. Comput. Methods Appl. Mech. Engrg., 105, 395–403 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  5. Guermond, J.L., Quartapelle, L.: Calculation of viscous incompressible viscous flow by an unconditionally stable projection FEM. J. Comp. Phys., 132, 12–33 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hughes, T.J.R., Franca, L.P., Balestra, M.: A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuvska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Comput. Methods Appl. Mech. Engrg., 59, 85-99 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  7. Hughes, T.J.R., Franca, L.P., Hulbert, G.M.: A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations. Comput. Methods Appl. Mech. Engrg., 73, 173-189 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  8. vSýstek, J.: Stabilization of finite element method for solving incompressible viscous flows. MSc. Thesis, Czech University of Technology, Praha (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Math., Czech University of Technology, Karlovo náam. 13, CZ-12135 Praha 2, Czech Republic

    Pavel Burda & Jakub vSístek

  2. Institute of Thermomechanics, Czech Academy of Science, Dolejvskova 5, CZ-18200 Praha 8, Czech Republic

    Jaroslav Novotný

Authors
  1. Pavel Burda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jaroslav Novotný
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jakub vSístek
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pavel Burda .

Editor information

Editors and Affiliations

  1. Dynamique des Fluides, Institut von Karman de, Chaussee de Waterloo 72, Rhode-St.-Genese, 1640, Belgium

    Herman Deconinck

  2. Fac. Engineering, University of Ghent, Sint-Pietersnieuwstraat 41, Gent, 9000, Belgium

    E. Dick

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Burda, P., Novotný, J., vSístek, J. (2009). Semi-GLS Stabilization of FEM Applied to Incompressible Flows with Higher Reynolds Numbers. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-92779-2_30

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92778-5

  • Online ISBN: 978-3-540-92779-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation