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Adaptive finite element methods for three dimensional compressible viscous flow simulation in aerospace engineering

  • M. O. Bristeau
  • R. Glowinski
  • B. Mantel
  • J. Périaux
  • G. Rogé
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 323)

Abstract

We have briefly discussed here the numerical solution of the compressible Navier-Stokes equations written in non conservative form. We have shown by these first results that approximations satisfying some “Inf-sup” condition lead, for moderate Reynolds and Mach numbers, to accurate results without upwinding or artificial viscosity. The solution techniques which have been discussed are extended presently to conservative formulations in view of genuine hypersonic simulations including real gas effects. We can hope from the first results that, for higher Mach and Reynolds numbers, we will obtain accurate solutions while introducing less dissipation in the schemes; the accuracy, particularly of pressure, being a critical point in view of further calculations in hypersonic design.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • M. O. Bristeau
    • 1
  • R. Glowinski
    • 2
  • B. Mantel
    • 3
  • J. Périaux
    • 3
  • G. Rogé
    • 3
  1. 1.INRIALe Chesnay CedexFrance
  2. 2.INRIAUniversity of HoustonHoustonUSA
  3. 3.AMD/BASt Cloud CedexFrance

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