Relaxation solution of the full Euler equations

  • Gary M. Johnson
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 170)


A numerical procedure for the relaxation solution of the full steady Euler equations is described. By embedding the Euler system in a second-order surrogate system, central differencing may be used in subsonic regions while retaining matrix forms well suited to iterative solution procedures and convergence acceleration techniques. Hence, this method allows the development of stable, fully-conservative differencing schemes for the solution of quite general inviscid flow problems. Results are presented for both subcritical and shocked, supercritical internal flows. Comparisons are made with a standard time-dependent solution algorithm.


Euler Equation AIAA Paper Euler System Finite Difference Equation Relaxation Solution 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Gary M. Johnson
    • 1
  1. 1.NASA lewis research centerClevelandUSA

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