A Fully Conservative Relaxation Method for Transonic Flows

  • J. J. Chattot
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

In this paper is presented a fully conservative relaxation method for first-order partial differential equations of mixed type as encountered in transonic inviscid aerodynamics.

A definition of conservative schemes is proposed.

A new approach for solving by relaxation first order system is presented.

Results obtained with this method in the case of small perturbation equations for the velocity components in transonic flows are presented in the case of direct and inverse calculations.

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References

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    Murman, E.M., and Cole, J.D.-Calculation of plane steady transonic flows, AIAA Journal, vol. 9, n° 1 (1971).Google Scholar
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    Steger, J.L., and Lomax, H. — Generalized relaxation methods applied to problems in transonic flow. Proc. of the 2nd International Conf. on Numerical Methods in Fluid Dynamics, vol. 8 of Lectures Notes in Physics, M. Holt ed.’ Springer-Verlag, 1971, p. 193-198.Google Scholar
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    Bailey, F.R., and Steger, J.L. — Relaxation techniques for three-dimensional transonic flow about wings. AIAA Journal, vol. 11, n° 3 (1973).Google Scholar
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    Steger, J.L., and Klineberg, J.M. — A finite difference method for transonic airfoil design. AIAA Paper n° 72-679, AIAA 5th Fluid and Plasma Dynamics Conference, Boston (Mass.), June 26–28, 1972.Google Scholar
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    Klineberg, J.M., and Steger, J.L. — Calculation of separated flows at subsonic and transonic speeds. Proc. of the 3rd International Conf. on Numerical Methods in Fluid Dynamics, Springer-Verlag, Lecture Notes in Physics, (1972).Google Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1976

Authors and Affiliations

  • J. J. Chattot
    • 1
  1. 1.Office National d’Etudes et de Recherches Aérospatiales (ONERA)ChatillonFrance

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