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Application of extrapolation method to incompressible N-S equations on massively parallel computer

  • Parallel Computing
  • Conference paper
  • First Online:
Fifteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 490))

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Abstract

We chose the extrapolation method ROLE as the acceleration technique implemented on massively parallel computers. Theoretical discussion was given on applicability of the extrapolation method to a nonlinear system of equations by considering behavior of a nonlinear mapping. Then the extrapolation method was introduced to the coupled method solving incompressible N-S equations on AP1000. The maximum speed-up by extrapolation reached about 1.5∼1.9 and it hardly depended on the number of processors. It was concluded that the extrapolation method which retained its accelerative property even for fine granularity was an appropriate choice for massively parallel computation.

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References

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Science University of Tokyo, 1-3 Kagurazaka Shinjuku-ku, 113, Tokyo, Japan

    Kenjiro Shimano

  2. Department of Mechanical Engineering, University of Tokyo, Japan

    Chuichi Arakawa

Authors
  1. Kenjiro Shimano
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  2. Chuichi Arakawa
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Editor information

Paul Kutler Jolen Flores Jean-Jacques Chattot

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© 1997 Springer-Verlag

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Shimano, K., Arakawa, C. (1997). Application of extrapolation method to incompressible N-S equations on massively parallel computer. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107146

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  • DOI: https://doi.org/10.1007/BFb0107146

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63054-8

  • Online ISBN: 978-3-540-69120-4

  • eBook Packages: Springer Book Archive

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