The method of decomposition applied in transonic flow calculations

  • K. R. Karlsson
  • Y. C. -J. Sedin
Part of the Lecture Notes in Physics book series (LNP, volume 59)


This paper presents some results concerning recent developments of a special numerical technique, here applied to external transonic flow problems. The potential equation to be solved is of mixed elliptic-hyperbolic type and nonlinear. The basic idea is the decomposition of the original velocity potential into two new functions forming a coupled system, which can be integrated in opposite lateral directions. The two new equations are integrated, one at a time, by a marching procedure, alternating between the flying object and a chosen outer boundary at which a far field relation is assumed. The new functions are solved iteratively until convergence has been obtained. The method is based on finite difference approximations. Axisymmetric bodies and wing-body combinations have been treated.


Transonic Flow AIAA Journal Axisymmetric Body Wing Vortex Embed Shock 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • K. R. Karlsson
    • 1
  • Y. C. -J. Sedin
    • 1
  1. 1.Aerospace DivisionSAAB-SCANIA ABLinköpingSweden

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