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Spectrum Cascade in Electrostatic Plasma Turbulence

Research Project

Project/Area Number 03680010
Research Category

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

Allocation TypeSingle-year Grants
Research Field プラズマ理工学
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

WAKATANI Masahiro  Kyoto University Professor, 教授 (00109357)

Co-Investigator(Kenkyū-buntansha) NAKAMURA Yuji  Kyoto University Research associate, 助手 (20198245)
Project Period (FY) 1991 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1992: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1991: ¥700,000 (Direct Cost: ¥700,000)
Keywordsresistive drift wave turbulence / resistive interchange mode / energy spectrum / enstrophy spectrum / cross helicity / spectrum cascade / 静電プラズマ乱流 / 抵抗性ドリフト波 / エンストロフィー / クロス・ヘリシティ / ダイナミック・アラインメント / 二重カスケード / 抵抗性インタ-チェンジ乱流 / スペクトルカスケ-ド / HASEGAWAーWAKATANI方程式 / 自己組識化
Research Abstract

In order to study characteristics of resistive drift wave and interchange turbulence in a cylindrical plasma with magnetic shear, we extended Hasegawa-Wakatani equations to include the average magnetic curvature. In the three-dimensional nonlinear simulation the linearly unstable fluctuations saturate under the effect of dissipation due to resistivity, viscosity and particle diffusion. For the saturated stationary turbulence energy, enstrophy and cross-helicity spectra are calculated and compared with the analytic theory.
An important parameter in the simulation is resistivity. When it is negligibly small, the Boltzmann relation is imposed between the density and potential fluctuation and the model equations reduced to Hasegawa-Mima equation. Then the energy cascades inversely and the enstrophy cascades normally. When the resistivity is extremely large, kinetic energy, internal energy, enstrophy and cross-helicity conserve separately in the dissipationless limit. Then the kinetic energy cascades inversely and the internal energy cascades normally. We obtain good agreement between the numerical results and the analytic theory.

Report

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

    (8 results)

All Other

All Publications (8 results)

  • [Publications] M.Wakatani: "Resistive drift wave and interchange turbulence in a cylindrical plasma with magnetic and velocity shear" Physics Fluids B. 4. 1754-1765 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] K.Watanabe: "Poloidal shear Flow Effect on Ideal Interchange Instability" Nuchlear Fusion. 32. 1647-1652 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M. Wakatani et al.,: "Resistive drift wave and interchange turbulence in a cylindrical plasma with magnetic and velocity shear" Physics Fluids B. vol.4. 1754-1765 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] K. Watanabe et al.,: "Poloidal shear Flow Effect on Ideal Interchange Instability" Nuclear Fusion. vol.32. 1647-1652 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.WAKATANI et al.: "Resistive drift wave and interchange turbulence in a cylindrical plasma with magnetic and velocity shear" Phys.Fluids B. 4. 1754-1765 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] K.Watanabe et al.: "Poloidal shear Flow Effect on Ideal Interchange Instability" Nucleur Fusion. 32. 1647-1652 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] M.WAKATANI: "Resistive Drift Wave and Interchange Turbulence in a Cylindrical Plasma with Magnetic and Velocity Shear" Physics of Fluids B(Plasma Physics).

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Taniuti: "Solitary and Shock Structures Induced by Poloidal Flow in Tokamaks" J.Phys.Soc.Jpn.61. 568-586 (1992)

    • Related Report
      1991 Annual Research Report

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

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