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A Study of Incompressible Flow Calculations with Artificial Compressibility

Research Project

Project/Area Number 01460111
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionUniversity of Tokyo, Faculty of Engineering

Principal Investigator

ARAKAWA Chuichi  University of Tpkyo, Dept. of Mechanical Engineering, Associate Professor, 工学部, 助教授 (30134472)

Co-Investigator(Kenkyū-buntansha) SUZUKI Masami  University of Tokyo, Dept. of Mechanical Engineering, Research Associate, 工学部, 助手 (30171250)
OKAMOTO Hisashi  University of Tokyo, Dept. of Mechanical Engineering, Research Associate, 工学部, 助手 (70011153)
FUJII Kozo  Institute of Space and Astronautical Science, Associate Professor, 助教授 (50209003)
Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥5,000,000 (Direct Cost: ¥5,000,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1989: ¥4,200,000 (Direct Cost: ¥4,200,000)
KeywordsComputational Fluid Dynamics / Artificial Compressibility / Implicit Scheme / Approximate Factorization Method / Turbulence Model / Wall Law / Turbomachinery / Francis Water Turbine / 二方程式流モデル
Research Abstract

The three-dimensional Navier-Stokes code with the pseudo-compressibility, the implicit formulation of finite difference, the high accuracy TVD scheme and the Kーe turbulence model has been developed for the Francis water runner as an example of incompressible flow. The authors have already developed the 3-D turbulent flow calculation code for the advanced turboprop (ATP) with compressible flow scheme of the rotating blade, which enables one to predict the performance and the detailed flow including the location of shock successfully.
We take the implicit finite difference and approximate factorization method so as to get the comparatively large time step for the time marching. The K-e turbulence model requiring two transporting equations is introduced for simulating the high Reynolds number flow, while the wall function is used to decrease the number of the grid points. The TVD (Total Variations Diminishing) scheme is also available in order to get the converged results adding the minimum artificial viscosity automatically.
The results of the code developed here are reasonable comparing with the experimental data, and this simulation can describe the proper influence of the viscosity such as the secondary flow owing to the rotation. In order to decrease the computational time, the implicit scheme and the wall function near the surface are introduced efficiently so that this Navier-Stokes code is acceptable in the small computer like the engineering work station as well as the supercomputer.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] Chuchi Arakawa: "Numerical Simulation of Francis Runner Using Pseudo‐Compressibility" Proc of IAHR Symposium 1990 Yugoslavia. Vol.C1. 1-10 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Chuichi Arakawa: "Computational Simulation of Francis Runner Using PseudoーCompressibility" ASME Paper for First Joint ASMEーJSME Fluids Engineering Conference. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Yuichi MATSUO, Chuichi ARAKAWA, Shigeru SAITO, Hiroshi KOBAYASHI,: "Navier-Stokes Simulations Around a Propfan Using Higher-Order Upwind Schemes" AIAA-paper. AIAA-89-2699,. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Yuichi MATSUO, Chuichi ARAKAWA, Shigeru SAITO, Hiroshi KOBAYASHI,: "Navier-Stokes Simulations Around a High-Speed Propeller" A Collection of Technical Papers ISCFD-NAGOYA 1989,. 554-559 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Syunji ENOMOTO, Chuichi ARAKAWA,: "An Application of the Multigrid Methods for Turbulent Flow Calculation" A Collection of Technical Papers ISCFD-NAGOYA 1989,. 1162-1167 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Makoto YAMAMOTO, Chuichi ARAKAWA, Tetsuo TAGORI,: "Development of a New Low-Reynolds-Number Type Reynolds Stress Model and its Application to a L obe Mixer Flow" Proc. of Seventh Symposium on Turbulent Shear Flows,. 13.3.1-13.3.6 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Chuichi ARAKAWA, Masahiro SAMEJIMA, Yuichi MATSUO, Takashi KUBOTA,: "Numerical Simulation of Francis Runner Using Pseudo-Compressibility" Proc. of IAHR Symposium 1990 Yugoslavia,. Vol. Cl,. 1-10 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Chuichi ARAKAWA, Masahiro SAMEJIMA, Yuichi MATSUO, Takashi KUBOTA,: "Computational Simulation of Francis Runner Using Pseudo-Compressibility" ASME Paper for First Joint ASME-JSME Fluids Engineering Conference,. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Chuichi Arakawa: "Numerical Simulation of Francis Runner Using PseudoーCompressibility" Proc.Of IAHR Symposium 1990 Yugoslavia:. Vol.C1. 1-10 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Chuichi Arakawa: "Computational Simulation of Francis Runner Using PseudoーCompressibility" ASME Paper for First Joint ASMEーJSME Fluids Engineering Conference. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 谷口伸行: "ヴォロノイ分割を用いた有限体積法による流れ場計算手法の構成" 日本機械学会論文集. (B編)55-513. 1324-1328 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Yuichi Matsuo: "Navier-Stokes Simulations Around a Propfan Using Higher-Order Upwind Schemes" AIAA-paper AIAA-89-2699. (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Yuichi Matsuo: "Navier-Stokes Simulations Around a High-Speed Propeller" A Collection of Technical Papers ISCFD-NAGOYA 1989. 554-559 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Makoto Yamamoto: "Development of a New Low-Reynolds-Number Type Reynolds Stress Model and its Application to a Lobe Mixer Flow" Proc.of Seventh Symposium on Turbulent Shear Flows. 13.3.1-13.3.6 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 谷口伸行: "一般座標系有限体積法による自動車まわり流れの数値シミュレ-ション" 日本機械学会論文集. (B編)55-518. 3026-3032 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 鮫島正太: "擬似圧縮性を用いたフランシス水車流れの数値解析" 第3回数値流体力学シンポジウム講演論文集. 579-582 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 田古里哲夫: "流体工学" 東京大学出版会, 303 (1989)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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