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Development of Computational Fluid Dynamics for Dispersed Open System

Research Project

Project/Area Number 09650206
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionKeio University

Principal Investigator

TANAHASHI Takahiko  Keio University, Mechanical Engineering, Professor, 理工学部, 教授 (70051638)

Project Period (FY) 1997 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1998: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1997: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsFEM / Open System / GSMAC / Upwinding / Element Auerage / Green Function / Del Operator / Poisson Solver
Research Abstract

In this report, we propose a high speed and high accuracy scheme for the numerical analysis of incompressible fluid. The advection term of the Navier-Stokes equation is nonlinear, therefore it is difficult to analyze it accurately. Then, in the present scheme, the Navier-Stokes equation is divided into two parts of advection phase and non-advection phase. The advection phase is analyzed with biquadratic elements, on the other hand the non-advection phase is solved with bilinear elements. But use of the biquadratic elements makes the calculation time for the coefficient matrices increase. In order to solve this problem, the coefficient matrices are calculated with one point integration to which the hourglass matrices are added, following the high speed technique of GSMAC-FEM.. This scheme is verified by three models such as the rotating cone model and the forced-driven cavity flows.
In the present paper, in order to make sure that the discrete del operator is useful we analyze the MCZ (Magnetic-field applied Czochralski method) melt which is one of the most important models for the large-scale simulations. The imposed magnetic field is the CUSP magnetic field recently remarked by the industrial world. We calculate the five models which have the different position of coil for the magnetic field. Then, this numerical results are investigated in details about the influence of the magnetic field and compared with the Watanabe's experimental results.

Report

(4 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] 藤枝、益田、棚橋: "FEM/FVM混合法による粘弾性流体の三次元解析(8モード緩和時間分布を考慮した非可逆型Larsonモデルによる解析)"日本機械学会論文集(B編). 66-641. 25-32 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 藤枝、和田、棚橋: "流体と固体の統一解法の構築"日本機械学会論文集(B編). 65-640. 3891-3898 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Makihara, E. Shibata, T. Tanahashi: "Application of the GSMAC・CIP Method to Incompressible Navier Stokes Equation of High Reynolds Numbers"International Journal of Computational Fluid DYnamics. 12. 301-314 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 槙原孝文、棚橋隆彦: "円柱周りの非定常剥離流れ解析によるGSMAC-CIP法の検証"日本機械学会論文集(B編). 65-637. 3569-3576 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 藤枝忠臣、棚橋隆彦: "有限要素による粘弾性液体にダイスウェル解析"日本機械学会論文集(B編). 65-637. 2937-2944 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 今村純也、棚橋隆彦: "還元法の連続体への応用"日本土木学会 応用力学論文集. 2. 241-252 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T,Fujieda, T.Masuda and T.Tanahashi: "Three-dimensional Analyzis of Visco-Eiastic Fluids Using FEM/FVM Mixed Method(Analysis using Irreversible Larson Model Considering 8-Mode Relaxation times)"Trans Jap. Soc. Mech. Eng.. Vol.66, No.641(in Japanese). 25-32 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T,Fujieda, S.Wada and T.Tanahashi: "Unified Solution Algorithm for Solids and Fluids"Trans Jap. Soc. Mech. Eng.. Vol.65, No.640, B (in Japanese). 3891-3898 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Makihara, E.Shibata and T.Tanahashi: "Application of the GSMAC-CIP Method to Incompressible Navier-Stokes equation at High Reynolds Numbers"Interantional Journal of Computational Fluid Dynamics. 12. 301-314 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Makihara, T.Tanahashi: "Verifications of GSMAC-CIP Method by the Unsteady Separated Flows around a Impulsive Started Circular Cylinder"Trans Jap. Soc. Mech. Eng.. Vol.65, No.639,B (in Japanese). 3569-3576 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Fujieda, T.Tanahashi: "Die Swell Simulation of Visco-Elastic Fluid using Finite Element Method"Trans Jap. Soc. Mech. Eng.. Vol.65, No.637, B (in Jpanese). 2937-2944 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] J.Imamura, T.Tanahashi: "An application of the reduction method to continuum mechanics"Trans Jap. Soc. Civil Eng.. Vol.2(in Japnese). 241-252 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 藤枝、益田、棚橋: "FEM/FVM混合法による粘弾性流体の三次元解析(8モード緩和時間分布を考慮した非可逆型Larsonによる解析)"日本機械学会論文集(B編). 66-641. 25-32 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 藤枝、和田、棚橋: "流体と固体の統一解法の構築"日本機械学会論文集(B編). 65-640. 3891-3898 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Makihara E.Shibata T.Tanahashi: "Application of the GSMAC-CIP Method to Incompressible Navier-Stokes Equation at High Reynolds Numbers"International Journal of Computational Fluid Dynamics. 12. 301-314 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 槙原孝文,棚橋隆彦: "円柱周りの非定常剥離流れ解析によるGSMAC-CIP法の検証"日本機械学会論文集(B編). 65-639. 3569-3576 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 藤枝忠臣,棚橋隆彦: "有限要素法による粘弾性流体のダイスウェル解析"日本機械学会論文集(B編). 65-637. 2937-2944 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 今村純也,棚橋隆彦: "還元法の連続体への応用"日本土木学会・応用力学論文集. 2. 241-252 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 棚橋隆彦: "CFDの基礎理論"IPC. 537 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 棚橋隆彦: "機械の研究(高速空気力学の上流化法)"養賢堂. 7 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 槙原、柴田、棚橋: "キャビティ流れによるGSMAC-CIP法の検証" 日本機械学会論文集(B編). 65巻629号. 116-123 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Tanahashi,Makihara: "New Hybrid-Streamline-Upwind Finite-Element Method in a Dual Space (Natural Convection at High Rayleigh Numbers)" Computational Fluid Dynamics Review 1998. vol.1. 359-368 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Jung,Ogawa,Tanahashi: "Numerical Simulation of MHD Fluids Using GSMAC-FEM in Two Conceutric spheres" Proc.of 4th KSME-JSME Fluid Eng.Conf.609-612 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Fujieda,Okawa,Negishi,Tanahashi: "Numerical Analysis of Visco-Elastic Fluid through a Die" Proc.of 4th KSME-JSME Fluid Eng.Conf.273-276 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Makihara,Shibata,Tanahashi: "Stabilized Finite Element Scheme for the Navier-Stokes Equation" Proc.of 4th KSME-JSME Fluid Eng.Conf.5-8 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Minowa,Tanahashi: "The Analysison Molten Metal under Alternating Current using ALE Method" Modeling and Simulation Based Engineering,Proc.of Inter-national Conf.on Computational Engineering Science(ICES98). vol.1. 977-982 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 棚橋隆彦: "磁気工学ハンドブック第10章3節" 朝倉書店, 6 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 棚橋・槙原: "有限要素による流れのシミュレーション" Springer, 9 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 棚橋・中井: "上流化法" 日本機械学会論文集(B編). 64巻617号. 1-9 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 金山・棚橋: "GSMAC-CIP有限要素法による正方形Cavity内強制対流解析" 日本シミュレーション学会誌「シミュレーション」. 16巻4号. 296-303 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Makihara,Tanahashi: "Theorical Study on Equation of Motion and Yield of Electrorheological Fluid" JSME International Journal,Ser B. 40-4. 521-528 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 大幅・澤田・斎藤,須藤,棚橋: "磁場保持される磁性流体液柱の横振動特性" 日本機械学会論文集(B編). 63巻612号. 2725-2731 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 鈴木・伊藤・棚橋: "定常/非定常問題に対する流束分離法の比較研究" 日本機械学会論文集(B編). 63巻612号. 2676-2683 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Fujieda,Kato,Tanahashi: "Numerical Simulation of Uisco-elastic Fluid by GSMAC-FEM(Maxwell Fluid through Contraction)" JSME Proceedings of International Conference on Fluid Engineering,ICFE'97. 97-203. 1025-1030 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 棚橋隆彦: "流れの有限要素法解析I" 朝倉書店, 190 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 棚橋隆彦: "流れの有限要素法解析II" 朝倉書店, 167 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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