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Finite element least square method for solving full steady Euler equations in a plane nozzle

  • C. H. Bruneau
  • J. J. Chattot
  • J. Laminie
  • J. Guiu-Roux
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 170)

Abstract

A finite element least square method is applied to the steady Euler equations in a nozzle or a channel. For the capture of shock waves an artificial density formula is used. Fast convergence is achieved with I.C.C.G. algorithm.

Keywords

Shock Wave Mach Number Transonic Flow Exit Pressure Convergent Divergent Nozzle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1].
    Chattot,J.J., Guiu-Roux,J., and Laminie, J., Résolution numérique d'une equation de conservation par une approche variationnelle, Proc. 6th ICNMFD, Tbilissi, USSR, June 20–25, 1978. Lecture Notes in Physics, 90, Springer-Verlag, 1979.Google Scholar
  2. [2].
    Chattot,J.J., Guiu-Roux,J., and Laminie,J., Finite element calculation of steady transonic flow in nozzles using primary variables, Proc. 7th ICNMFD, Stanford and NASA/Ames, USA, June 23–27, 1980, Lecture Notes in Physics, 141, Springer-Verlag, 1981.Google Scholar
  3. [3].
    Chattot,J.J., Guiu-Roux,J., and Laminie,J., Numerical solution of a first order conservation equation by a least square method, Int. Journal for Num. Meth. in Fluids, vol.2, 209–219, 1982.Google Scholar
  4. [4].
    Habashi,W.G., and Hafez,M.M., Finite element method for transonic cascade flows, AIAA/SAE/ASME 17th Joint Propulsion Conference, Colorado Spring, USA, July 27–29, 1981, AIAA paper n° 81–1472.Google Scholar
  5. [5].
    Rizzi,A., and Viviand,H., Numerical methods for the computation of inviscid transonic flows with shock waves, a GAMM Workshop, (Notes on numerical fluid Mechanics, vol. 3), Vieweg, 1981.Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • C. H. Bruneau
    • 1
    • 2
  • J. J. Chattot
    • 3
  • J. Laminie
    • 4
  • J. Guiu-Roux
    • 1
  1. 1.Université de Paris-SudOrsayFrance
  2. 2.Office National d'Etudes et de Recherches Aérospatiales (O.N.E.R.A.)ChâtillonFrance
  3. 3.MATRAVelizyFrance
  4. 4.C.N.R.S. E.R.A. 297OrsayFrance

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