Supercomputing pp 125-140 | Cite as

Supercomputing of Incompressible Fluid Flow

  • Toshio Kobayashi


For years, many papers have been given in flow field analysis arguing for the wider applicability of the numerical simulation method. Many problems are still unsolved, however, including optimum calculational methods and conditions for the numerical scheme of the algorithm, turbulence models, grid density, boundary conditions, etc. This is partly due to the complex contours of the flow field and also because flow separation or a large wake complicates matters, preventing the simple transfer of technology from aeronautical and astronautical fields. Turbulent separating flows are encountered in many engineering applications and play important roles. The advent of powerful digital computers and the development of hypotheses pertaining to turbulence modeling are bringing about a dramatic improvement in our ability to calculate flow phenomena of engineering relevance. Such a predictive capability for turbulent separating flow is, however, conspicuously lacking. Turbulent separating flows occupy a unique position within the general group of flows. The intense streamline curvature present in separating flows produces a strong anisotropy in the normal stresses, and dramatic changes in the shear-stress field. In spite of this, however, most available turbulent models are based on the Boussinesqviscosity assumption, which cannot capture the interaction between separation and the turbulence stress field. At this moment, it is necessary to develop calculation methods including the turbulence models.


Fluid Flow Turbulence Model Large Eddy Simulation Unstructural Grid Incompressible Fluid Flow 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Daiguji H (1989) Numerical analysis I. In: The 647th text of course. JSMEGoogle Scholar
  2. 2.
    Kobayashi T (1989) Numerical analysis II. In: The 647th text of course. The Japan Society of Mechanical EngineersGoogle Scholar
  3. 3.
    Patankar SV (1980) Numerical heat transfer and fluid flow. McGraw-Hill, New YorkMATHGoogle Scholar
  4. 4.
    Tani I (1980) Improvement in fluid mechanics: turbulence. Maruzen, TokyoGoogle Scholar
  5. 5.
    Horiuti K (1985) Large Eddy simulation of turbulent cannel flow by one equation modeling. J Phys Soc Jap 54: 2855CrossRefGoogle Scholar
  6. 6.
    Morinishi Y, Kobayashi T (1989) A study on wall boundary condition in LES. Trans Jap Soc Mech Eng 55: 615CrossRefGoogle Scholar
  7. 7.
    Roache PJ (1976) Computational fluid dynamics. HermoraGoogle Scholar
  8. 8.
    Inoue M (1989) Trend in research and development of analysis methods on the internal flows of the fluid machinery, Proceedings of the 66th The Japan Society of Mechanical Engineers spring annual meetingGoogle Scholar
  9. 9.
    The Japan Society of Mechanical Engineers (1988) Report on the first CFD workshop, 1988Google Scholar
  10. 10.
    Togawa H (1971) Numerical method on matrix. Ohm, TokyoGoogle Scholar
  11. 11.
    Natori M, Nodera T (1987) Supercomputer and large scale numerical calculation, bitsupplement. Kyoritsu Shuppan, TokyoGoogle Scholar
  12. 12.
    Matsuo Y (1989) Numerical analysis of a high-speed turbo-prop flow. PhD dissertation, University of TokyoGoogle Scholar
  13. 13.
    Kobayashi T (1989) Characteristics of Karman vortex type flowmeter. Proceedings of the 6th fluid measurement symposium The Society of Instrument and Control EngineersGoogle Scholar
  14. 14.
    Taniguchi N, Atakawa C, Kobayashi T (1989) Construction on a flow-simulating method with finite volume based on Voronoi diagrams. Trans Jap Soc Mech Eng 55: 1324Google Scholar
  15. 15.
    Thompson JF, Thompson JF, Warsi ZUA, Martin CW (1985) Numerical grid generation: Foundations and applications. North-Holland, New YorkMATHGoogle Scholar
  16. 16.
    Kobayashi T, Kobayashi T, Morinishi Y, Sada K (1988) Numerical calculation of turbulent flow behind a backward-facing step. Proc 2nd CFD Symp, p 371Google Scholar
  17. 17.
    Bearman DW (1965) Investigation of the flow behind a two-dimensional model with a blunt trailing edge and fitted with splitter plates. J Fluid Mech 21-2: 241–255CrossRefGoogle Scholar
  18. 18.
    Kobayashi T (1989) Development of Computational Fluid Dynamics and Supercomputing. Datapro Books 7: 53–64Google Scholar

Copyright information

© Springer-Verlag Tokyo 1991

Authors and Affiliations

  • Toshio Kobayashi
    • 1
  1. 1.Institute of Industrial ScienceUniversity of TokyoMinato-ku, TokyoJapan

Personalised recommendations