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A Modification to the Method of Garabedian and Korn

  • R. C. Lock
Part of the Notes on Numerical Fluid Mechanics book series (NONUFM, volume 3)

Summary

A modification is described to the method of Garabedian and Korn for calculating the potential flow round aerofoils. When the flow is supercritical and shock waves are present, the modification enables a solution to be obtained intermediate between the two extremes — non-conservative (N-C) and conservative (C) — of the existing method. A parameter λ (between 0 and 1) is introduced which leads to a N-C solution of λ = 0 and to a C solution if λ = 1, while taking an intermediate value allows the solution to be adjusted so that the pressure jump across the shock wave is a reasonable approximation to the true physical (Rankine-Hugoniot) jump. In this way it is hoped to achieve an overall solution which is closer to a solution of the full Euler equations while retaining the computational speed of the Garabedian and Korn method.

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References

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    P.R. Garabedian D.G. Korn Analysis of transonic aerofoils. Comm. Pure App. Math., Vol 24, pp 841–851 (1971)Google Scholar
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Copyright information

© Springer Fachmedien Wiesbaden 1981

Authors and Affiliations

  • R. C. Lock
    • 1
  1. 1.Aerodynamics DeptRoyal Aircraft EstablishmentFarnborough, HampshireEngland

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