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Statistical Law and Energy Transfer Mechanism in Turbulence

Research Project

Project/Area Number 03452053
Research Category

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

Allocation TypeSingle-year Grants
Research Field 物理学一般
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

KIDA Shigeo  Kyoto Univ., RIMS, Associate Prof., 数理解析研究所, 助教授 (70093234)

Co-Investigator(Kenkyū-buntansha) MUROTA Kazuo  Kyoto Univ., RIMS, Associate Prof., 数理解析研究所, 助教授 (50134466)
OHKITANI Kohji  Kyoto Univ., RIMS, Assistant, 数理解析研究所, 助手 (70211787)
TOH Sadayoshi  Kyoto Univ., Science, Assistant, 理学部, 助手 (10217458)
OKAMOTO Hisashi  Kyoto Univ., RIMS, Associate Prof., 数理解析研究所, 助教授 (40143359)
MIZUSHIMA Jiro  Doshisha Univ., Engineering dep., Prof., 工学部, 教授 (70102027)
山田 道夫  京都大学, 防災研究所, 助教授 (90166736)
川原 琢治  京都大学, 理学部, 助教授 (60027373)
Project Period (FY) 1991 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥7,000,000 (Direct Cost: ¥7,000,000)
Fiscal Year 1993: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1992: ¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1991: ¥4,100,000 (Direct Cost: ¥4,100,000)
Keywordsturbulence / energy transfer / turbulent shear flow / vortical structure / thermal convection / dynamo / compressible turbulence / ウェーブレット解析 / 統計 / エネルギ- / 数値シミュレ-ション / 間欠性
Research Abstract

1. It was found in the homogeneous isotropic turbulence that the energy transfer through the trial interaction is local in the inertial range but it is nonlocal in the dissipation range. The former agrees with the Kolmogorov theory while the latter may give a useful suggestion to turbulence modelling. The generation, development and breakdown of various vortical structures in a uniformly sheared turbulence were analyzed in terms of the dynamics of the vorticity vector. The relative importance of the mean flow, advection, nonlinear selfinteraction and viscous terms in the energy transfer process was clarified.
2. The localized structure in the marginal convection state between two rotating spheres was solved. A new bifurcation branch was found as the Reyleigh number is increased. A bunch of Taylor columns with strong helicity were realized by the direct numerical simulation.
3. The mechanism of the energy transfer in a forced compressible turbulence was investigated by analysing the vorticity and density fields. The kinetic energy was divided into the compressible and rotational parts by employing the Helmholtz decomposition. The relative importance of the advection, the baroclinic and the viscous terms in the energy exchange between these components and internal energy was evaluated quantitatively.
4. The mechanism of pattern formation in a Rayleigh-Benard convection was clarified by the weakly nonlinear theory.
5. The statistical law in the complex Ginzburg-Landau turbulence was explained by the interaction between the fundamental solutions.

Report

(4 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • 1991 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] 木田重雄: "Generation of Vortical Structure in Homogeneously Sheared Turbulence" Proc.RIMS workshop “Unstable and Turbulent Motion of Fluid"(World Scientific). 245-255 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 木田重雄: "Evolution of Homogeneously Sheared Turbulence" Proc.9th Symposium on Turbulent Shear Flows.17-4-1-17-4-6 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 柳瀬真一郎: "The Stability of Multiple Solutions of a Flow between Two Concentric Spheres with Different Temperatures" Proc.Nonlinear Instability of Nonparallel Flows IUTAM Symposium. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 田中満: "Characterization of Vortex Tubes and Sheets" Phys.Fluids A. 5. 2079-2082 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 岸場清悟: "Physical-Space Nonlocality in a Decaying Isotropic Turbulence" J.Phys.Soc.Japan. 62. 3783-3787 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 木田重雄: "Dynamics of Vortical Structures in a Homogeneous Shear Flow" J.Fluid Mech.(投稿中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 木田重雄: "「乱れと流れの非線形現象」の「乱流エネルギー伝達」の部分" 朝倉書店, (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kida: "Generation of Vortical Structure in Homogeneously Sheared Turbulence" Proc.RIMS workshop "Unstable and Turbulent Motion of Fluid"(World Scientific). 245-255 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kida: "Evolution of Homogeneously Sheared Turbulence" Proc.9the Symposium on Turbulent Shear Flows. 17-4-1-17-4-6 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Yanase: "The Stability of Multiple Solutions of a Flow between two Concentric Spheres with Different Temperatures" Proc.Nonlinear Instability of Nonparallel Flows IUTAM symp.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] M.Tanaka: "Characterization of Vortex tubes and sheets" Phys.Fluids A. 5. 2079-2082 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kishibe: "Physical-Space Nonlocalty in a Decaying Isotropic Turbulence" J.Phys.Soc.Japan. 62. 3783-3787 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kida: "Dynamics of Vortical Structures in a Homogeneous Shear Flow" J.Fluid Mech.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 木田重雄: "Generation of Vortical Structure in Homogeneously Sheared Turbulence" Proc.RIMS workshop“Unstable and Turbulent Motion of Fluid"(World Scientific). 245-255 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 木田重雄: "Evolution of Homogeneously Sheared Turbulence" Proc.9th.Symposium on Turbulent Shear Flows. 17-4-1-17-4-6 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 柳瀬真一郎: "The Stability of Multiple Solutions of a Flow between Two Concentric Spheres with Different Temperatures" Proc.Nonlinear Instability of Nonparallel Flows IUTAM Symposium. (印刷中).

    • Related Report
      1993 Annual Research Report
  • [Publications] 田中満: "Characterization of Vortex Tubes and Sheets" Phys.Fluids A. 5. 2079-2082 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 岸場清悟: "Physical-Space Nonlocality in a Decaying Isotropic Turbulence" J.Phys.Soc.Japan. 62. 3783 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 木田重雄: "Dynamics of Vortical Structures in a Homogeneous Shear Flow" J.Fluid Mech.(印刷中).

    • Related Report
      1993 Annual Research Report
  • [Publications] 木田重雄: "「乱れと流れの非線形現象」の「乱流エネルギー伝達」の部分" 朝倉書店, (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 木田 重雄: "Spatio-Temporal Intermittency and Instability of a Forced Turbulence" Phys.Fluids A. 4. 1018-1027 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 木田 重雄: "Fine Structure of Energy Transfer in Turbulence" Phys.Fluids A. 4. 1602-1604 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 木田 重雄: "Triad Interaction in the Dissipation Range" Proc.1992 Summer Program,Stamford U.83-99 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 木田 重雄: "Reynolds Stress and Vortical Structure in a Uniformly Shewed Turbulence" J.Phys.Soc.Jpn.61. 4400-4417 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 大木谷 耕司: "Triad Interaction in a Forced Turbulence" Phys.Fluids A. 4. 794-802 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 大木谷 耕司: "Lagrangian Frozen-in Hypothesis for Vortex Stretching" J.Phys.Soc.Jpn.62. 390-394 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 水島 二郎: "Mechanism of Mode Selection in Rayleigh-Benard Convection with Free-rigid Boundaries" Fluid Dyn.Res.

    • Related Report
      1992 Annual Research Report
  • [Publications] 荒木 圭典: "Bifurcation in a Flow between Two Concentric Sheres with Different Temperatures" Proc.“Unstable and Turbulent motion of Fluids".

    • Related Report
      1992 Annual Research Report
  • [Publications] 木田 重雄: "Generation of Vortical Structure in a Uniform Shear Flow" Proc.“Unstable and Turbulent Motion of Fluids".

    • Related Report
      1992 Annual Research Report
  • [Publications] 木田 重雄: "LogーStable Distribution in Turbulence" Fluid Dyn.Res.8. 135-138 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 木田 重雄: "Collision of Two Vortex Rings" J.Fluid Mech.230. 583-646 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 木田 重雄: "Formation of HeadーTail Structure in a TwoーDimensional Uniform Straining Flow" Phys.Fluids A. 3. 2688-2697 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 木田 重雄: "Trial Interaction in a Forced Turbulence" Phys.Fluids A. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 木田 重雄: "SpatioーTemporal Intermiltency and Instability of a Forced Turbulence" Phys.Fluids A. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 木田 重雄: "乱流の間欠性ーエネルギ-伝達と渦構造ー" 燃焼研究. 88. 15-30 (1991)

    • Related Report
      1991 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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