An improved approximate Riemann solver for hypersonic bidimensional flows

  • Laurence Flandrin
  • Pierre Charrier
3. Numerical Methods and Algorithms d) Euler/Navier-Stokes Equations
Part of the Lecture Notes in Physics book series (LNP, volume 453)


We propose a new version of HLLEM approximate Riemann solver where local antidiffusive coefficients are calculated to have robustness and accuracy in the obtained scheme. We introduce the concept of Riemann-stability, property satisfied by our method, which guarantees its good behaviour in known difficult situations. Numerical results are presented to demonstrate the efficiency of our approach.


Tangential Velocity Riemann Problem Skin Friction Coefficient Hypersonic Flow Inviscid Flow 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Laurence Flandrin
    • 1
    • 2
  • Pierre Charrier
    • 1
    • 2
  1. 1.CeReMab Université Bordeaux 1France
  2. 2.Bruno DubrocaCEA/LESTAFrance

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