• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

1994 Fiscal Year Final Research Report Summary

Development of the numerical scheme and finite element analysis for thermo-electrically conducting fluids

Research Project

Project/Area Number 05650176
Research Category

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

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionKEIO University

Principal Investigator

TANAHASHI Takahiko  KEIO Univ., Mechanical Engineering, Pro., 理工学部, 教授 (70051638)

Project Period (FY) 1993 – 1994
KeywordsMHD / Thermal fluids / FEM / GSMAC method / Hybrid method / Natural convection / Heat transfer / Liquit metal
Research Abstract

The primitive variable methods have been proposed in the numerical scheme of magnetic field of thermo-electrically conducting fluids. The point to be emphasized in the above-mentioned scheme is to satisfy the conservation law of magnetic flux efficiently. In the present research, we have compared the two numerical schemes of magnetic field, namely the cross helicity method and the numerical residual method, concentrating on convergence of Poisson's equation of the velocity and magnetic fields. Moreover, the relationship between the periodicity of low prandtl number fluids and the convective inhibitation effect by Lorentz force has been clarified quantitatively. The frequency characteristics of kinetic energy, enstrophy, palinstrophy and hydromagnetic cross helicity are calculated by the maximum entropy method. Furthermore, we have presented a new hybrid-streamline-upwind finite-element method, which is based on the finite analytic method developed in the field of the finite difference method. In order to obtain an optimal shape function, we have introduced an adjoint differential operator to the differential operator for a steady advection-diffusion equation. The shape functions which satisfy these differential operators are mutually dual. One of them interpolates accurately the functions appearing in convection-dominated flows, the other becomes a hybrid-streamlime-upwind weight function. And, we have defined a discrete del operator for the reduction of memory storage in the computer.As a result, we have achieved simplicity of formulation and high-speed calculation of the finite-element method.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] T. Tanahashi: "An Application of GSMAC-FEM to Electrically Conducting Fluids" Comp. Fluid Dynamics. 1. 233-248 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S. Kawamoto: "High-speed GSMAC-FEM for wind engineering" Comp. Meth in Appl. Mech. and Eng.112. 219-226 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 沖 良篤: "GSMAC有限要素法による内部発熱を伴う電磁熱流体の自然対流解析" 日本機械学会論文集(B). 60. 1619-1626 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 沖 良篤: "双体空間を用いたHybrid形上流化有限要素法(第2報)" 日本機械学会論文集(B). 60. 1639-1646 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 池田 浩: "選択的反復解法を用いた有限要素法の高速化" 日本機械学会論文集(B). 60. 2064-2071 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 池田 浩: "双体空間を用いたHybrid上流化有限要素法(第3報)" 日本機械学会論文集(B). 60. 3311-3318 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 棚橋 隆彦: "計算流体力学" アイピ-シ, 824 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 棚橋 隆彦: "CFD数値流体力学" アイピ-シ, 1033 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Tanahashi, Y.Oki and K.Henjes: ""An Application of GSMAC-FEM to Electrically Conducting Fluids Flows Driven by Lorentz Force"" Comp.Fluid Dyn. Vol.1. 233-248 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kawamoto and T.Tanahashi: ""High-speed GSMAC-FEM for wind engineering"" Comp.Meth.in Appl.Mech.and Eng. 112. 219-226 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Oki and T.Tanahashi: ""Numerical Analysis of Natural Convection of Thermo-electrically Conducting Fluids in a Square Cavity under a Constant Magnetic Field"" Trans.Jap.Soc Mech.Eng. Vol.60, No.573(in Japanese)., B. 1619-1626 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Oki and T.Tanahashi: ""New Hybrid-Streamline-Upwind Finite-Element Method in a Dual Space(2nd Report)"" Trans.Jap.Soc.Mech.Eng. Vol.60, No.573(in Japanese)., B. 1639-1646 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Ikeda, T.Akutsu and T.Tanahashi: ""High-Speed Finite-Element Method with Selective-Element Iteration"" Trans.Jap.Soc.Mech.Eng. Vol.60, No.574(in Japanese)., B. 2064-2071 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H,Ikeda and T.Tanahashi: ""New Hybrid-Streamline-Upwind Finite-Element Method in A Dual Space(3rd Report)"" Trans.Jap.Soc.Mech.Eng. Vol.60, No.578(in Japanese)., B. 3311-3318 (1994)

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 1996-04-15  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi