Vector Algorithm for Large-Memory CYBER 205 Simulations of Euler Flows

  • Arthur Rizzi
  • J. P. Therre
Part of the Notes on Numerical Fluid Mechanics book series (NNFM, volume 12)


The paper reviews a finite-volume method for the large-scale numerical simulation of fluid flow and discusses the vector coding and execution of the procedure on the CYBER 205. With the proper structure given to the data by the grid transformation each coordinate direction can be differenced throughout the entire grid in one vector operation. Boundary conditions must be interleaved which tends to inhibit the concurrency of the overall scheme, but a stragey of no data motion together with only inner-loop vectorization is judged to be the best compromise. The computed example of transonic vortex flow separating from the sharp leading edge of a delta wing demonstrates the processing performance of the procedure. Vectors over 40, 000 elements long are obtained, and a rate of over 125 megaflops, sustained over the entire computation, is achieved when the entire data set is resident in real memory. Attemps to use secondary memory, either explicitly or with virtual management, greatly degrades the performance.


Central Memory Delta Wing Strip Mining Secondary Memory Vector Code 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    Eriksson, L.E.: Generation of Boundary-Conforming Grids around Wing-Body Configurations using Transfinite Interpolation, AIAA J., Vol. 20, Oct 1982, pp. 1313–1320.ADSzbMATHCrossRefGoogle Scholar
  2. [2]
    Rizzi, A.W. and Bailey, H.E.: Finite Volume Solution of the Euler Equations for Steady Three-Dimensional Transonic Flow. Proc. 5th Int’l Conf. Num Meth Fluid Dynamics, eds. A.I. van der Vooren and P.J. Zandbergen, Lecture Notes in Physics, 59, Springer Verlag, pp. 347–357, 1976.Google Scholar
  3. [3]
    Rizzi, A.W. and Eriksson, L.E.: Computaltion of Flow Around Wings Based on the Euler Equations, Journal Fluid Mechanics, Vol. 148, Nov. 1984.Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1986

Authors and Affiliations

  • Arthur Rizzi
    • 1
  • J. P. Therre
    • 2
  1. 1.FFAThe Aeronautical Research Institute of SwedenBrommaSweden
  2. 2.Ecole Polytechnique FédéraleLausanneSwitzerland

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