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Multicolored Poisson Solver for Fluid Flow Problems

  • S. Fujino
  • T. Tamura
  • K. Kuwahara
Conference paper
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 29)

Abstract

We propose the multicolored Poisson solver suited to vector computing. This solver is designed for solving the Poisson’s equation which has a large sparse 19-points FDM (Finite Difference Method) coefficient matrix in the 3-D generalized coordinate system. Moreover this multicolored technique can be extended to the solvers for sparse 13 and 25-points FDM coefficient matrices which arise from the Navier-Stokes equations, in the 2-D and 3-D generalized coordinate system. We discuss the applicability of the present solver to the unsteady flow problem around an obstacle at high Reynolds number.

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References

  1. [1]
    Harlow, F.H. and Welch, J.E., “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface”, Phys. Fluids, Vol.8, 1965Google Scholar
  2. [2]
    Ortega, J.M., “Introduction to Parallel and Vector Solution of Linear Systems”, Plenum Press, New York and London, 1988zbMATHGoogle Scholar
  3. [3]
    Fujino, S., Tamura, T. and Kuwahara, K., “Application of the RAINBOW SOR technique to Fluid Flow Analysis in the 3-D Generalized Curvilinear Coordinate System”, proceedings of 6th International Conference on ‘Numerical methods in Laminar and Turbulent Flow, Swansea, U.K., 1989Google Scholar
  4. [4]
    Kawamura, T. and Kuwahara, K.,” Computation of high Reynolds Number around a Circular Cylinder with Surface Roughness”, AIAA paper, 84-0340, 1984Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1990

Authors and Affiliations

  • S. Fujino
    • 1
  • T. Tamura
    • 2
  • K. Kuwahara
    • 3
  1. 1.Institute of Computational Fluid DynamicsMeguro-ku Tokyo 152Japan
  2. 2.ORI of Shimizu CorporationChiyoda-ku, Tokyo 100Japan
  3. 3.Institute of Space and Aeronautical ScienceSagamlhara, Kanagawa 229Japan

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