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Basic of Numerical Analysis for a Variety of Fluids under Complex Conditions and its Application to Engineering Problems

Research Project

Project/Area Number 05650060
Research Category

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

Allocation TypeSingle-year Grants
Research Field Engineering fundamentals
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

MIZUTA Yo  Hokkaido Univ., Fac. of Eng., Res. Ass., 工学部, 助手 (10133703)

Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1995: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1993: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsComputational Fluid Dynamics / Boundary Condition / Moving Boundary / Free Surface / Density Interface / Magnetic Fluid / Floating Body / Cosmic Fluid
Research Abstract

This reasearch has developed a numerical method called "deformable-cell method" for fluids under complex conditions, and applied it to engineering problems. Complex conditions mean the domain of analysis not reactangular, moving boundaries with complex boundary conditions, and special external forces. The method is based on integral-type laws of conservation in cells which is deformable in accordance with moving boundaries, and various boundary conditions are treated in a unified manner there. The themes specified in this research are :
1. Free surface and density interface waves : Vertical analysis on free surface and desity interface waves in a two-layred fluid on a slope was performed. In connection with this problem, "open boundary condition" and "tiny cell" were investigated.
2. Interacting bodies and fluid : Problems on flows in vivo/in vitro or floating bodies was supposed, but they are the themes in the near future together with "nonmagnetic body driven by magnetic field in magne … More tic fluid" related with the next item.
3. Fluid under special external force : "Waves in magnetic fluid" have been investigated both theoretically and numerically. The following are the results of theretical analysis : (1) Stability of the resonant waves on the free surface or on the density interface by alternating magnetic fields can be investigated by the Mathieu equation or its extension ; (2) The method of conformal mapping describes well the strongly-nonlinear multivalued free surface shapes under strong magnetic field. They will give guides for numerical and experimental researches. In numerical analysis, resnant waves caused by alternating magnetic fields were analyzed by the deformable-cell method successfully with only a small change of its framework. The fluid under smal gravity is the theme in the future.
4. Basis on computational fluid dynamics : A "system for three-dimensional analysis of fluids for wide uses" has been newly constructed. This system supoprts extensively creating computer codes with a large original part, and diminished the loads of programming and managing data by : (1) The loop procedures can be used commonly in all parts of the code ; (2) Global numbers can be acquired in a unified manner at any part of the code. This system is considered as the basis for stocking positively and systematically the knowhow on stable and accurate methods and diagnoses. Less

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] Y.Mizuta: "Generalized Boundary Conditions on the Basis of a Deformable-Cell Method : Free Sarfaces, Density Interfaces and Open Boundanes" Computers & Fluids. 19. 377-385 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta: "Local Plane Wave Model for Open Boundanes in Numerical Anaysis of Inconpressible Fluids" Computational Fluid Dynamics JOUNAL. 1. 1-13 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta: "Numerical Analysis of Magnetic Fluid with Inrerface by a Deformable-Cell Method" Proc. of 5th International Symposium on Computational Fluid Dynamics-Sendai. 2. 267-272 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta: "Open Boundary Condition for Vertical Analysis of Incompressible Fluids with Surface and Interface" Computational Fluid Dynamics JOUNAL. 3. 257-272 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta: "Physical and Numerical Instabilities in the Numerical Experiment of Free Surface Oscillation of Magnetic Fluids" Theoretical and Applied Mechanics. 43. 189-196 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta: "A practical Scheme for Two-Layered Fluid on a Slope with Tiny Cell and Open Boundary" Proc. of 6th International Symposium on Computational Fluid Dynamics-Lake Tahoe. 4. 80-85 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta (ed. C. Constanda): "A Deformable-Cell Method Generalized Boundary Conditions for the Numerical Analysis of Incompressible Fluids (Integral Methods in Science and Engineering)" Longman Scientific & Technical UK, Harlon, 14 (251) (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 水田洋(登坂宣好・矢川元基編): "変形可能セル法による磁性流体非を表面波動の解析(計算力学[IV]-移動・自由境界問題の近似解析-)" 養賢堂,東京, 25 (266) (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta (eds. L. C. Wrobel. B. Sarler and C. A. Brebbia): "Numerical Experiment of Surface and Interface Waves on a Two-Layered Fluid on a Slope (Computational Modelling of Free and Moving Boundary Problems III)" Computational Mechanocs Publications, Southampton, 8 (379) (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Mizuta (eds. S. M. Deshpande, S. S. Desai and M. Narasimha): "Concepts on Boundary Conditions in Numerical Fluid Dynamics (Lecture Notes in Physics 453)" Springer Verlag, Berlin, 5 (589) (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Generalized Boundary Conditions on the Basis of a Deformable-Cell Method : Free Surfaces, Density Interfaces and Open Boundaries" Computers & Fluids. 19 (3/4). 377-385 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Local Plane Wave Model for Open Boundaries in Numerical Analysis of Incompressible Fluids" Computational Fluid Dynamics JOURNAL. 1 (1). 1-13 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Numerical Analysis of Magnetic Fluid with Interface by a Deformable-Cell Method" Proc. of 5th International Symposium on Computational Fluid Dynamics-Sendai, Japan, 1993. II. 267-272 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Open Boundary Condition for Vertical Analysis of Incompressible Fluids with Surface and Interface" Computational Fluid Dynamics JOURNAL. 3 (3). 257-272 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Physical and Numerical Instabilities in the Numerical Experiment of Free Surface Oscillation of Magnetic Fluids" Theoretical and Applied Mechanics. 43. 189-196 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "A Deformable-Cell Method and Generalized Boundary Conditions for the Numerical Analysis of Incompressible Fluids" Integral Methods in Science and Engineering, ed. C.Constanda, Longman Scientific & Technical UK,Harlow. 81-94 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Analysis on Free Sruface Wave Motion of Magnetic Fluids by a Deformable-Cell Method (in Japanese)" Computational Mechanics [IV], eds. N.Tosaka and G.Yagawa, Yokendo Ltd., Tokyo. 91-115 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Numerical Experiment of Surface and Interface Waves in a Two-Layred Fluid on a Slope" Computational Modelling of Free and Moving Boundary Problems III,eds. L.C.Wrobel, B.Sarler and C.A.Brebbia, Computational Mechanics Publications, Southampton. 49-56 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "Concepts on Boundary Conditions in Numerical Fluid Dynamics" Lecture Notes in Physics 453, eds. S.M.Deshpande, S.S.Desai and M.Narasimha, Springer Verlag, Berlin. 206-210 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "A Practical Scheme for Two-Layred Fluid on a Slope with Tiny Cell and Open Boundary" Proc. of 6th International Symposium on Computational Fluid Dynamics-Lake Tahoe, USA,1995. IV. 80-85 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: "A Practical Scheme for Two-Layered Fluid on a Slope with Tiny Cell and Open Boundary" Proc.of 6th International Symposium on Computational Fluid Dynamics-Lake Tahoe,USA,1995. 4. 80-85 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 水田 洋: "不均一磁場における磁性流体界面波動の解析" 京都大学数理解析研究所講究録「流体における波動現象の数理とその応用」. 908. 225-236 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 水田洋: "磁性流体自由表面の大振幅変形に関する非線形解析" 磁性流体連合講演会論文集. 9. 30-32 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 水田洋: "構造格子・非構造格子を区別しない3次元数値流体力学コード-変形可能セル法とCFSVモデル-" 数値流体力学シンポジウム講演論文集. 9. 387-388 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y.Mizuta(eds.L.C.Wrobel,B.Sarler and C,A.Brebbia): "Numerical Experiment of Surface and Interface Waves in a Two-Layered Fluid(Computational Modelling of Free and Moving Bounolary Problems III,分担執筆)" Computational Mechanics Publications(Southampton,U.K.), 379 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y.Mizuta(eds.S.M.Peshpande,S.S.Desai and R.Narasimha): "Concepts on Boundary Canditions in Numerical Fluid Dynamics(Lecture Notes in Physics 453)" Springer-Verlag (Berlin,Heidelberg,New York), 589 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y.Mizuta: "Open boundary condition for vertical analysis of incompressible fluids with surface and interface" Computational Fluid Dynamics JOURNAL. 3. 257-272 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Mizuta: "Physical and numerical instabilities in the numerical experiment of free surface oscillation of magnetic fluids" Proceedings of NCTAM. 43. 189-196 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Mizuta(ed.C.Constanda): "A deformable-cell method and generalized boundary conditions for numerical andlysis of incompressible fluids(Integral methods in science and engineering,分担執筆)" Longman Scientific & Technical UK(London), 251 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 水田洋(登坂宣好-矢川元基編): "変形可能セル法による磁性流体表面波動の解析(計算力学[IV]-移動・自由境界問題の近似解析、分担執筆)" 養賢堂(東京), 370 (1995)

    • Related Report
      1994 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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