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1999 Fiscal Year Final Research Report Summary

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
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.

  • Research Products

    (12 results)

All Other

All Publications (12 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)

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  • [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)

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      「研究成果報告書概要(和文)」より
  • [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)

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  • [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)

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  • [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)

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  • [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)

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  • [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)

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  • [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)

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      「研究成果報告書概要(欧文)」より
  • [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)

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  • [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)

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  • [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)

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  • [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)

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Published: 2001-10-23  

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