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Part of the book series: Lecture Notes in Physics ((LNP,volume 59))

Abstract

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.

The present study was sponsored partly by The Swedish Board for Technical Development.

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References

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Adriaan I. van de Vooren Pieter J. Zandbergen

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© 1979 Springer-Verlag

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Karlsson, K.R., Sedin, Y.C.J. (1979). The method of decomposition applied in transonic flow calculations. In: van de Vooren, A.I., Zandbergen, P.J. (eds) Proceedings of the Fifth International Conference on Numerical Methods in Fluid Dynamics June 28 – July 2, 1976 Twente University, Enschede. Lecture Notes in Physics, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08004-X_326

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  • DOI: https://doi.org/10.1007/3-540-08004-X_326

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08004-6

  • Online ISBN: 978-3-540-37548-7

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