On the Efficient Use of Large Data Bases in the Numerical Solution of the Navier-Stokes Equations on a CRAY Computer

  • W. Kordulla
Part of the Notes on Numerical Fluid Mechanics book series (NNFM, volume 12)


For the numerical integration of the Navier-Stokes equations with the explicit-implicit MacCormack algorithm the efficient use of a CRAY-1S computer is described, if the main memory is too small to handle the tackled problem. The plane concept is used for the transfer of data. Within each plane of data the code is nearly completely vectorized. To be really efficient dedicated input/output devices are needed. Parallel input/output streams are used to speed up the transfer rates. The set up of the code allows to handle large problems, provided sufficient memory is available in core, and if dedicated input/output devices are employed. The code is not well suited for efficient use on a CYBER vector computer because the vector strings are comparatively short.


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  1. [1]
    GENTZSCH, W.: Veetorizaticm of Computer Programs with the Application to Computational Fluid Dynamics. Vieweg-Verlag, Notes on Numerical Fluid Mechanics, Vol.8, 1984.CrossRefGoogle Scholar
  2. [2]
    KORDULLA, W.: The computation of three-dimensional transonic flows with an explicit-implicit methods. Proceedings, 5th Gamm-Conference on Numerical Methods in Fluid Mechanics, M. Pandolfi/R. Piva (Eds.), Notes on Numerical Fluid Mechanics, Vol.7, pp.193–202, Vieweg-Verlag, 1984.Google Scholar
  3. [3]
    KORDULLA, W. : The Computation of Three-Dimensional Viscous Transonic Flows with Separation. Proceedings, 9th ICNMFD, ed. Soubbaramayer, Lecture Notes in Physics, Springer-Verlag, 1984.Google Scholar
  4. [4]
    MACCORMACK, R.W.: A Numerical Method for Solving the Equations of Compressible Viscous Flow, AIAA Journal, Vol.20, pp.1275–1281, 1982.MathSciNetADSzbMATHCrossRefGoogle Scholar
  5. [5]
    KORDULLA, W. and MACCORMACK, R.W.: A New Predictor-Corrector Scheme for the Simulation of Three-Dimensional Compressible Flows with Separation. AIAA 85–1502, 1985.Google Scholar
  6. [6]
    DEIWERT, G.S. and ROTHMUND, H. : Three-Dimensional Flow Over a Conical Afterbody Containing a Centered Propulsive Jet: A Numerical Simulation. AIAA Paper 83–1709, 1983.Google Scholar
  7. [7]
    KORDULLA, W.: Maccormack’s Methods and Vectorization. In: W. Gentzsch, Vectorization of Computer Programs with the Application to Computational Fluid Dynamics; Vieweg-Verlag, Notes on Numerical Fluid Mechanics, Vol.8, pp. 157–171, 1984.Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1986

Authors and Affiliations

  • W. Kordulla
    • 1
  1. 1.Institut für Theoretische StrömungsmechanikDFVLRGöttingenGermany

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