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Study of Neoclassical and Turbulent Transport based on Lagrangian Gyrokinetic Theory

Research Project

Project/Area Number 12680497
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Nuclear fusion studies
Research InstitutionNational Institute for Fusion Science

Principal Investigator

SUGAMA Hideo  National Institute for Fusion Science, Department of Large Helical Device Project, Associate Professor, 大型ヘリカル研究部, 助教授 (80202125)

Co-Investigator(Kenkyū-buntansha) SATAKE Shinsuke  National Institute for Fusion Science, Theory and Computer Simulation Center, Research Fellow of JSPS, 理論シミュレーション研究センター, 日本学術振興会特別研究員・PD
WATANABE Tomohiko  National Institute for Fusion Science, Theory and Computer Simulation Center, Associate Professor, 理論シミュレーション研究センター, 助教授 (30260053)
Project Period (FY) 2000 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 2003: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2000: ¥700,000 (Direct Cost: ¥700,000)
Keywordsgyrokinetics / neoclassical transport / turbulent transport / microinstability / ion temperature gradient mode / kinetic ballooning mode / kinetic-fluid model / 運動論的流体モデル / ラグランジュ的ジャイロ運動論
Research Abstract

Neoclassical Transport Theory : Lagrangian formulation of transport theory, which has been investigated to reflect finiteness of guiding-center orbit widths to transport equations, is developed in order to analyze neoclassical transport near the axis for a low-collisionality plasma. By directly reflecting the orbital properties of all the types of orbits in calculation, the ion thermal conductivity around the axis is found to decrease from that predicted by conventional neoclassical theory.
A novel method to obtain the full neoclassical transport matrix for general toroidal plasmas, by using the solution of the linearized drift kinetic equation with the pitch-angle-scattering collision operator is shown. In this method, the neoclassical coefficients for both poloidal and toroidal viscosities in toroidal helical systems can be obtained, and the neoclassical transport coefficients for the radial particle and heat fluxes and the bootstrap current with the nondiagonal coupling between unlik … More e-species particles are derived from combining the viscosity-flow relations, the friction-flow relations, and the parallel momentum balance equations.
Turbulent Transport Theory : A novel nondissipative closure model (NCM) is presented to give a set of fluid equations which describe a collisionless kinetic system. In order to take account of the time reversal symmetry of the collisionless kinetic equation, the new closure model relates the parallel heat flux to the temperature and the parallel flow in terms of the real-valued coefficients in the unstable wave number space. When the NCM is applied to the three-mode ion temperature gradient (ITG) driven system, the fluid system of equations reproduces the exact nonlinear kinetic solution.
A detailed comparison between kinetic and fluid simulations of collisionless slab ITG driven turbulence is made. Simulation results show that, in the saturated turbulent state, the turbulent thermal diffusivity obtained from the kinetic simulation is well reproduced by the fluid simulation using the NCM.
Electromagnetic microinstabilities in helical systems are studied by numerically solving integral eigenmode equations, which are derived from the ion gyrokinetic equation, the quasineutrality equation, the Ampere's law, and the massless electron approximation. For helical geometry like the Large Helical Device (LHD), it is confirmed that, when increasing the beta value, the ITG mode is stabilized while the kinetic ballooning mode (KBM) is destabilized due to the unfavorable geodesic curvature resulting from the negative magnetic shear combined with the toroidal plasma shift. Less

Report

(5 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (39 results)

All Other

All Publications (39 results)

  • [Publications] T.Kuroda, H.Sugama, R.Kanno, M.Okamoto: "Ion Temperature Gradient Modes in Toroidal Helical Systems"J.Phy.Soc.Jpn.. 69. 2485-2492 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Sugama, T.-H.Watanabe, W.Horton: "Collisionless kinetic-fluid closure and its application to the three-mode ion temperature gradient driven system"Phys.Plasmas. 8. 2617-2628 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Satake, H.Sugama, M.Okamoto, M.Wakatani: "Classification of Particle Orbits near the Magnetic Axis in a Tokamak by Using Constants of Motion"J.Plasma Fusion Res.. 77. 573-585 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Kuroda, H.Sugama: "Ion Temperature Gradient Modes and Neoclassical Ripple Transport in Multiple-Helicity Fields"J.Phy.Soc.Jpn.. 70. 2235-2238 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.-H.Watanabe, H.Sugama, T.Sato: "A Nondissipative Simulation Method for the Drift Kinetic Equation"J.Phy.Soc.Jpn.. 70. 3565-3576 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.-H.Watanabe, H.Sugama: "Kinetic Simulation of a Quasi-steady State in Collisionless Ion Temperature Gradient Driven Turbulence"Phys.Plasmas. 9. 3659-3662 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Satake, M.Okamoto, H.Sugama: "Lagrangian Neoclassical Transport Theory Applied to the Region near the Magnetic Axis"Phys.Plasmas. 9. 3946-3060 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Sugama, S.Nishimura: "How to Calculate the Neoclassical Viscosity, Diffusion, and Current Coefficients in General Toroidal Plasmas"Phys.Plasmas. 9. 4637-4653 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Sugama, T.-H.Watanabe, W.Horton: "Comparison between Kinetic and Fluid Simulations of Slab Ion Temperature Gradient Driven Turbulence"Phys.Plasmas. 10. 726-736 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Kuroda, H.Sugama: "Electromagnetic ITG Modes in Helical Systems"Journal of Plasma Fusion Research SERIES. 5. 625-629 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Nishimura, H.Sugama, et al.: "A New Calculation Method for Neoclassical Flow and Transport of Impurities in Heliotron/Torsatron and Quasi-symmetric Configurations"Journal of Plasma Fusion Research SERIES. 5. 634-639 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Kuroda, H.Sugama, R.Kanno, M.Okamoto: "Ion Temperature Gradient Modes in Toroidal Helical Systems"J.Phy.Soc.Jpn.. Vol.69, No.8. 2485-2492 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Sugama, T.-H.Watanabe, W.Horton: "Collisionless kinetic-fluid closure and its application to the three-mode ion temperature gradient driven system"Phys.Plasmas. Vol.8, No.6. 2617-2628 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Satake, H.Sugama, M.Okamoto, M.Wakatani: "Classification of Particle Orbits near the Magnetic Axis in a Tokamak by Using Constants of Motion"J.Plasma Fusion Res.. Vol.77, No.6. 573-585 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Kuroda, H.Sugama: "Ion Temperature Gradient Modes and Neoclassical Ripple Transport in Multiple-Helicity Fields"J.Phy.Soc.Jpn.. Vol.70, No.8.. 2235-2238 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.-H.Watanabe, H.Sugama, T.Sato: "A Nondissipative Simulation Method for the Drift Kinetic Equation"J.Phy.Soc.Jpn.. Vol.70, No.12. 3565-3576 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.-H.Watanabe, H.Sugama: "Kinetic Simulation of a Quasi-steady State in Collisionless Ion Temperature Gradient Driven Turbulence"Phys.Plasmas. Vol.9, No.9. 3659-3662 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Satake, M.Okamoto, H.Sugama: "Lagrangian Neoclassical Transport Theory Applied to the Region near the Magnetic Axis"Phys.Plasmas. Vol.9, No.9. 3946-3960 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Sugama, S.Nishimura: "How to Calculate the Neoclassical Viscosity, Diffusion, and Current Coefficients in General Toroidal Plasmas"Phys.Plasmas. Vol.9, No.11. 4637-4653 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Sugama, T.-H.Watanabe, W.Horton: "Comparison between Kinetic and Fluid Simulations of Slab Ion Temperature Gradient Driven Turbulence"Phys.Plasmas. Vol.10, No.3. 726-736 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Kuroda, H.Sugama: "Electromagnetic ITG Modes in Helical Systems"J.Plasma Fusion Res.SERIES. Vol.5. 625-629 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Nishimura, H.Sugama, et al.: "A New Calculation Method for Neoclassical Flow and Transport of Impurities in Heliotron/Torsatron and Quasi-symmetric Configurations"J.Plasma Fusion Res.SERIES. Vol.5. 634-639 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Kuroda, H.Sugama: "Electromagnetic ITG Modes in Helical Systems"Journal of Plasma Fusion Research SERIES. 5. 625-629 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] S.Nishimura, H.Sugama, et al.: "A New Calculation Method for Neoclassical Flow and Transport of Impurities in Heliotron/Torsatron and Quasi-symmetric Configurations"Journal of Plasma Fusion Research SERIES. 5. 634-639 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.-H.Watanabe, H.Sugama: "Kinetic Simulation of Steady State of Ion Temperature Gradient Driven Turbulence with Weak Collisionality"Physics of Plasmuas. 11(to be published). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Sugama, T.-H.Watanabe: "Study of Electromagnetic Microinstabilities in Helical Systems with the Stellarator Expansion Method"Physics of Plasmas. 11(to be published). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Sugama, S.Nishimura: "How to Calculate the Neoclassical Viscosity, Diffusion, and Current Coefficients in General Toroidal Plasmas"Phys.Plasmas. 9・11. 4637-4653S (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Satake, M.Okamoto, H.Sugama: "Lagrangian Neoclassical Transport Theory Applied to the Region near the Magnetic Axis"Phys.Plasmas. 9・9. 3946-3960 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.-H.Watanabe, H.Sugama: "Kinetic Simulation of a Quasi-steady State in Collisionless Ion Temperature Gradient Driven Turbulence"Phys.Plasmas. 9・9. 3659-3662 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Ball, R.L.Dewar, H.Sugama: "Metamorphosis of plasma turbulence -shear-flow dynamics through a transcritical bifurcation"Phys.Rev.E. 66・6. 066408-1-066408-9 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 洲鎌英雄: "ジャイロ運動論"プラズマ・核融合学会誌. 79・2. 107-120 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Sugama, T.-H.Watanabe, W.Horton: "Comparison between Kinetic and Fluid Simulations of Slab Ion Temperature Gradient Driven Turbulence"Phys.Plasmas. 10・3. 726-736 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Sugama et al.: "Collisonless kinetic-fluid Closure and its application to the three-mode ion temperature gradient driven system"Phys. Plasmas. 8・6. 2617-2628 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Satake, H.Sugama, et al.: "Classification of Particle Orbits near the Magnetic Axis in a Tokamak by Using Constants of Motion"J. Plasma Fusion Res.. 77・6. 573-585 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Kuroda, H.Sugama: "Ion Temperature Gradient Modes and Neoclassical Ripple Transport in Multiple-Helicity Fields"J. Phys. Soc. Jpn.. 70・8. 2235-2238 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.-H.Watanabe, H.Sugama et al.: "A Nondissipative Simulation Method for the Drift Kinetic Equation"J. Phys. Soc. Jpn.. 70・12. 3565-3576 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Sugama et al.: "Collisionless kinetic-fluid closure and its application to the three-mode ion temperature gradient driven system"Phys.Plasmas. 8(To be published). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Koroda,H.Sugama, et al.: "Ion Temperature Gradient Modes in Toroidal Helical Plasmas"J.Phys.Soc.Jpn.. 69. 2485-2492 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] G.Rewoldt,H.Sugama, et al.: "Drift mode calculations for the Large Helical Device"Phys.Plasmas. 7. 4942-4947 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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