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Modeling a mechanism of MHD turbulent diffusion in Earth and Planetary fluid cores

Research Project

Project/Area Number 15540405
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Solid earth and planetary physics
Research InstitutionTokyo Institute of Technology

Principal Investigator

MATSUSHIMA Masaki  Tokyo Institute of Technology, Department of Earth and Planetary Sciences, Research Associate, 大学院・理工学研究科, 助手 (20242266)

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2004: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2003: ¥2,300,000 (Direct Cost: ¥2,300,000)
KeywordsMHD turbulence / Earth and planetary fluid core / turbulent diffusion / parallel computation / subgrid-scale / scale similarity
Research Abstract

Aiming at modeling an eddy diffusivity tensor, we have performed direct numerical simulations of MHD turbulence in a rapidly rotating system. To carry out computation using molecular diffusivity in a realistic planetary core, required is high resolution even for a very small region in the core. In the present research, the computational region is divided into several segments, which are allocated to respective CPUs on a parallel computer with large size of memory. Using results of direct numerical simulations thus obtained, we have examined scale similarity in MHD turbulence to model subgrid-scale physical processes, and we have found that scale similarity holds. On the basis of scale similarity law as well as spatial-filter width dependence, we have estimated the effect of subgrid-scales on grid-scales. We have then carried out large eddy simulations of MHD turbulence with the model of subgrid-scales. We have compared their results with those of direct numerical simulations, and confirmed that the present subgrid-scale model holds valid. That is, heat flux, kinetic energy, and magnetic energy averaged over computational time and computational region for large eddy simulation with the subgrid-scale model are closer to those for direct numerical simulations than those for numerical simulations without the model. It should be noted, however, that there is no significant difference among power spectra for velocity field, magnetic field, and temperature.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (18 results)

All 2005 2004 2003 Other

All Journal Article (17 results) Publications (1 results)

  • [Journal Article] A scale-similarity model for the subgrid-scale flux with application to MHD turbulence in the Earth's core2005

    • Author(s)
      M.Matsushima
    • Journal Title

      Physics of the Earth and Planetary Interiors 153

      Pages: 74-82

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Dynamo action in rotating spherical shell at high Rayleigh numbers2005

    • Author(s)
      F.Takahashi, M.Matsushima
    • Journal Title

      Physics of Fluids 17

      Pages: 76601-76601

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Simulations of a quasi-Taylor state geomagnetic field including polarity reversals on the Earth Simulator2005

    • Author(s)
      F.Takahashi, M.Matyushima, Y.Honkura
    • Journal Title

      Science 309

      Pages: 459-461

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 地球磁場から推定されるコアの流体運動2005

    • Author(s)
      松島政貴
    • Journal Title

      地学雑誌 114・2

      Pages: 132-141

    • NAID

      10017472890

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A scale-similarity model for the subgrid-scale flux with application to MHD turbulence in the Earth's core2005

    • Author(s)
      Matsushima, M.
    • Journal Title

      Physics of the Earth and Planetary Interiors 153

      Pages: 74-82

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Dynamo action in rotating spherical shell at high Rayleigh numbers2005

    • Author(s)
      Takahashi, F., Matsushima, M.
    • Journal Title

      Physics of Fluids 17

      Pages: 76601-76601

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simulations of a quasi-Taylor state geomagnetic field including polarity reversals on the Earth simulator2005

    • Author(s)
      Takahashi, F., Matsushima, M., Honkura, Y.
    • Journal Title

      Science 309

      Pages: 459-461

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Fluid motion in the core estimated from the Earth's magnetic field2005

    • Author(s)
      Matsushima, M.
    • Journal Title

      Journal of Geography 114

      Pages: 132-141

    • NAID

      10017472890

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Simulations of a quasi-Taylor state geomagnetic field including polarity reversals on the Earth Simulator2005

    • Author(s)
      F.Takahashi, M.Matsushima, Y.Honkura
    • Journal Title

      Science 309

      Pages: 459-461

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 地球磁場から推定されるコアの流体運動2005

    • Author(s)
      松島 政貴
    • Journal Title

      地学雑誌 114・2

      Pages: 132-141

    • NAID

      10017472890

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A scale-similarity model of the subgrid-scale flux with application to MHD turbulence in the Earth's core2005

    • Author(s)
      M.Matsushima
    • Journal Title

      COE-21 International Symposium MISASA : Origin, Evolution and Dynamics of the Earth -Present & Future Research-

      Pages: 72-73

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Scale similarity of MHD turbulence in the Earth's core2004

    • Author(s)
      M.Matsushima
    • Journal Title

      Earth,Planets and Space 56

      Pages: 599-605

    • NAID

      10017464663

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Scale similarity of MHD turbulence in the Earth's core2004

    • Author(s)
      Matsushima, M.
    • Journal Title

      Earth, Planets and Space 56

      Pages: 599-605

    • NAID

      10017464663

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Scale similarity of MHD turbulence in the Earth's core2004

    • Author(s)
      M.Matsushima
    • Journal Title

      Earth, Planets and Space 56

      Pages: 599-605

    • NAID

      10017464663

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 地球核内の非等方乱流輸送2003

    • Author(s)
      松島政貴
    • Journal Title

      数理解析研究所講究録1339-乱流による輸送,拡散,混合の数理

      Pages: 93-102

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Anisotropic turbulent transport in the Earth's core2003

    • Author(s)
      Matsushima, M.
    • Journal Title

      Research Institute for Mathematical Sciences, Kyoto University, Kokyuroku 1339

      Pages: 93-102

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Modeling subgrid scales in geodynamo simulations2003

    • Author(s)
      M.Matsushima
    • Journal Title

      American Geophysical Union 2003 Fall Meeting Abstract

    • Related Report
      2004 Annual Research Report
  • [Publications] M.Matsushima: "Modeling subgrid scales in geodynamo simulations"American Geophysical Union 2003 Fall Meeting Abstract. F530 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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