Skip to main content
SpringerLink
Log in

A finite element method for the simulation of a Rayleigh-Taylor instability

  • Conference paper
  • First Online:
Approximation Methods for Navier-Stokes Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 771))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight 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.

References

  1. S.Z. BURSTEIN and E. TURKEL "Eulerian Computations in domains with moving boundaries", Proc. Fifth Inter. Conf. Num. Meth. Fluid Dynamics, Springer Verlag, Lecture Notes in Physics, vol 59, pp 114–122, (1976).

    MATH  Google Scholar 

  2. M. CROUZEIX "Journées Eléments finis", Rennes, 1976.

    Google Scholar 

  3. M. CROUZEIX and P.A. RAVIART "Conforming and non conforming finite element methods for solving the stationary Stokes equations", RAIRO (R-3), pp. 33–75, Dec. 1973

    MathSciNet  MATH  Google Scholar 

  4. M. FORTIN "Calcul numérique des écoulements des fluides de Bingham et des fluides Newtoniens incompressibles par la méthode des éléments finis", thèse de Doctorat d'Etat, Université Paris VI, 1972.

    Google Scholar 

  5. T.J.R. HUGUES, W.K. LIU, A. BROOKS "Finite Element Analysis of Incompressible Flows by the Penalty Function Formulation" J. Comp. Ph., 30, pp.1–60 (1979)

    Article  MathSciNet  Google Scholar 

  6. A.V. KAJIKOV "Resolution of boundary value problems for non homogeneous viscous fluids", Doklady Akad. Nank., 216, pp. 1008–1010 (1974)

    Google Scholar 

  7. J.L. LIONS "On some problems connected with Navier-Stokes equations", Colloque Madison 1977, and seminaire at Collège de France (Novembre 1977).

    Google Scholar 

  8. P.A. RAVIART "Approximation numérique des phénomènes de diffusion convection", Ecole d'été d'Analyse Numérique (EDF/CEA/IRIA) (1979)

    Google Scholar 

  9. R. TEMAM "Navier Stokes equations", North Holland (1977)

    Google Scholar 

  10. R. TEMAM and F. THOMASSET "Numerical solution of Navier Stokes equations by a finite element method" Proc. Second Inter. Symposium on Finite Element Meth. in flow Problems, Santa Margherita Ligure (1976). Ed. Springer

    Google Scholar 

  11. F. THOMASSET "Numerical solution of the Navier Stokes Equations by Finite Element Methods", AGARD-VKI Lectures, No86, Von Karman Institute (Rhode St Genèse, Belgium) 1976

    Google Scholar 

  12. F. THOMASSET "Modules NSNΦCΦ et NS NCST (Club MODULEF) Equations de Navier Stokes bidimensionnelles" to appear.

    Google Scholar 

  13. E. TURKEL "Order of accuracy and boundary conditions for large scale time dependent partial differential equations", V on Karman Institute Lectures series 1979–6 (Computational fluid dynamics, March 19–23, 1979) Rhode St Genèse, Belgium, 1979.

    Google Scholar 

  14. D. BEGIS and A. PERRONNET, the Club MODULEF, IRIA-LABORIA, to appear at Dunod, Paris (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. IRIA-LABORIA, F-78150, Le Chesnay

    A. Dervieux & F. Thomasset

Authors
  1. A. Dervieux
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Thomasset
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Reimund Rautmann

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Dervieux, A., Thomasset, F. (1980). A finite element method for the simulation of a Rayleigh-Taylor instability. In: Rautmann, R. (eds) Approximation Methods for Navier-Stokes Problems. Lecture Notes in Mathematics, vol 771. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086904

Download citation

  • DOI: https://doi.org/10.1007/BFb0086904

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09734-1

  • Online ISBN: 978-3-540-38550-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation