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Flow Pattern of Thermal Convection of Boussinesq Fluid with Phase Change of Water

Research Project

Project/Area Number 10440118
Research Category

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

Allocation TypeSingle-year Grants
Section一般
Research Field 物理学一般
Research InstitutionUniversity of Tokyo

Principal Investigator

YAMADA Michio  Univ.of Tokyo, Grad.School.of Math. Sci., Prof., 大学院・数理科学研究科, 教授 (90166736)

Co-Investigator(Kenkyū-buntansha) HAYASHI Shosuke  Hokkaido Univ., Grad.School of Sci., Prof., 大学院・理学研究科, 教授 (20180979)
ISHIOKA Keiichi  Univ.of Tokyo, Grad.School of Math.Sci., Assoc.Prof., 大学院・数理科学研究科, 助教授 (90292804)
SATSUMA Junkichi  Univ.of Tokyo, Grad.School.of Math. Sci., Prof., 大学院・数理科学研究科, 教授 (70093242)
SAKAI Satoshi  Kyoto Univ., Fac.of Integrated Human Studies, Assoc.Prof., 総合人間学部, 助教授 (30144299)
KIDA Shigeo  , 文部省・核融合科学研究所, 教授 (70093234)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥4,900,000 (Direct Cost: ¥4,900,000)
Fiscal Year 2000: ¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1999: ¥2,700,000 (Direct Cost: ¥2,700,000)
Keywordsthermal convection / Benard convection / moist convection / pattern formation / latent heat / phase change / 大気力学 / 地球流体力学 / 水蒸気 / ブシネスク近似 / 線形安定性 / 積乱雲 / ウェーブレット解析 / ドップラーレーダー / 凝結 / スペクトル法 / 2次元乱流
Research Abstract

Thermal convection is studied for Boussinesq fluid which including a material which undergoes a phase change between gas and liquid. The gas-liquid phase change in nature acts as an internal heat budget of the fluid, and simultaneously makes the amount of the material decrease through 'rainfall'. But in this study we focus our attention on the first aspect of the phase-change. We formulate the system in a simplest form, and perform a parameter-survey for the latent heat and a characteristic time of the phase change, in a supercritical state of Benard convection, in where two-dimensional role convection is steady and stable. Numerical study shows that as the characteristic time of the phase change decreases, the convection-cell size first becomes larger and then turns to decrease. The increase of the latent heat is found to support this variation of the cell-size. The variation of the cell size is confirmed by stability analysis. The flow pattern of moist convection in geophysical situation, the interaction of thermal convection in a rotating spherical shell with magnetic field, and two-dimensional flow patterns on a rotating sphere are also studied.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (44 results)

All Other

All Publications (44 results)

  • [Publications] M.Hosaka: "Tropical precipitation patterns in response to a local warm SST area placed at the equator of an aqua planet"J.Met.Soc.Japan. 76. 289-305 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Kida: "Thermally driven MHD dynamo in a rotating spherical shell"Prog.Theor.Phys.Suppl.. 130. 121-136 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Ishioka: "Technical approach for the design of a high-resolution spectral model on a sphere : application to decaying turbulence"Nonlinear Processes in Geophysics. 7. 105-110 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Ishihara: "Axial and Equatorial Magnetic Dipoles Generated in a Rotating Spherical Shell"J.Phys.Soc.Japan. 69. 1582-1585 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.-Y.Hayashi: "Emergence of circumpolar vortex in 2D turbulence on a rotating sphere"Developments in Geophysical Turbulence (Eds.R.M.Kerr and Y.Kimura. 179-192 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] J.Yano: "Wavelet decomposition of the spatial structure associated with mesoscale organized convection"J.Atmos.Sci.. 58. 850-867 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 木田重雄: "乱流力学"朝倉書店. 450 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Yamada and F.Sasaki: "Wavelet Analysis of Atmospheric Wind. Turbulence Fluid, and Seismic Acceleration Data."M.Kobayashi (ed.), Wavelets and their Applications, SIAM Book Publications. 101-138 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Kida and H.Kitauchi: "Chaotic Reversals of Dipole Moment of Thermally Driven Magnetic Field in a Rotating Spherical Shell."J.Phys.Soc.Japan.. vol.67. 2950-2951 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Kida and H.Kitauchi: "Thermally Driven MHD Dynamo in a Rotating Spherical Shell."Prog.Theor.Phys.Supp.. vol.130. 121-136 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.-Y.Hayashi: "Experimental study of general circulations with the parameters relevant to Earth : SST anomaly ensemble experiment."(CGER's Supercomputer activity report). vol.7. 55-60 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Odaka, K.Nakajima, S.Takehiro, M.IShiwatari, Y.-Y.Hayashi: "A numerical study of the Martian atmospheric couvection with a two dimensional anelastic model."Earth, Planet and Space. 50. 431-437 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Hosaka, M.Ishiwatari, S.Takehiro, K.Nakajima, Y.-Y.Hayashi: "Tropical precipitation patterns in response to a local warm SST area placed at the equator of an aqua planet."J.Met.Soc.Japan. 76. 289-305 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Nakajima, S.Takehiro, M.Ishiwatari, Y.-Y.Hayashi: "Numerical modeling of Jovian cloud convection."Proc.of 30th ISAS Lunar and Planetary Symposium. 31-34 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Yoden, K.Ishioka, Y.-Y.Hayashi, M.Yamada: "A further experiment on two-dimensional decaying turbulence on a rotating sphere."II Nuovo Cimento. 22 C. 803-812 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.-Y.Hayashi, Ishioka, K., Yamada, M.and Yoden, S.: "Emergence of circumpolar vortex in 2-D turbulence on a rotating sphere."Eds. R.M.Kerr and Y.Kimura, Developments in Geophysical Turbulence, Kluwer Academic Publishers. 179-192 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Yoden, K.Ishioka, Y.-Y.Hayashi and M.Yamada: "A further experiment on two-dimensional decaying turbulence on a rotating sphere."Nuovo Cimento C. vol.22C, No.6. 803-812 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Takehiro, M.Ishiwatari, K.Nakajima, Y.-Y.Hayashi: "The effects of thermal boundary condition on convection in rapidly rotating spherical shells."Theoretical and Applied Mechanics. 48. 415-421 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Takehiro, Y.-Y.Hayashi: "Mean zonal flows excited by critical thermal convection in rotating spherical shells."Geopys.Astrophys.Fluid Dyn.. 90. 43-77 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Odaka, M.Nakajima, M.Ishiwatari, and Y.-Y.Hayashi: "A numerical simulation of Martian atmospheric convection driven by radiative forcing"Proc.of the 32nd ISAS Lunar and Planetary Symposium, The Institute of Space and Astronautical Science.. 200-203 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Ishioka, M.Yamada, Y.-Y.Hayashi and S.Yoden: "Technical approach for the design of a high-resolution spectral model on a sphere : Application to decaying turbulence."Nonlinear Processes in Geophysics. vol.7. 105-110 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Ishihara and S.Kida: "Axial and Equatorial Magnetic Dipoles Generated in a Rotating Spherical Shell."J.Phys.Soc.Japan. vol.69. 1582-1585 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Nakajima, S.Takehiro, M.Ishwatari, Y.-Y.Hayashi: "Numerical modeling of Jupiter's moist convection layer. Geophys."Res.Lett.. vol.27 (No19)(2000GL011740). 3129-3133 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] J.Yano, M.W.Moncrieff, Xiaoqing Wu and M.Yamada: "Wavelet Decomposition of the Spatial Structure Associated with Mesoscale Organized Convection, Part I."Journal of Atmospheric Sciences. vol.58, no.4. 850-867 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Odaka, K.Nakajima, M.Ishiwatari, and Y.-Y.Hayashi: "A two-dimensional numerical simulation of Martian atmospheric convection : Comparison with a one-dimensional model with parameterized convection"Proc.of the 33th ISAS Lunar and Planetary Symposium, The Institute of Space and Astronautical Science.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] C.-F.Liu and M.Yamada: "A New Algorithm for Automated Mesocyclone Dectection by Using Wavelet Transforms."J.Appl.Met.. (submitted to).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Yamada: "A Construction Method for Data Adapted Wavelet"accepted in Japan Journal of Inductrial and Applied Mechanics. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Yamada: "Wavelets Adapted to Data-Signals"Proceedings of 2nd to Int'l Symp. on Frontiers of Time Series Modeling "Nonparametric Approach to Knowledge Discovery". 93-102 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Ishioka: "Technical approach for the design of a high-resolution spectral model on a sphere : application to decaying turbulence"Nonlinear Processes in Geophysics. 7. 105-110 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Nakajima: "Numerical modeling of Jupiter's moist convection layer"Geophys.Res.Lett.. 27. 3129-3133 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] N.Ishihara: "Axial and Equatorial Magnetic Dipoles Generated in a Rotating Spherical Shell"J.Phys.Soc.Japan. 69. 1582-1585 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] J.Yano: "Wavelet Decomposition of the Spatial Structure Associated with Mesoscale Organized Convection, Part I"Journal of Atmospheric Sciences. 58. 850-867 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.-Y.Hayashi: "Emergence of circumpolar vortex in 2-D turbulence on a rotating sphere"Developments in Geophysical Turbulence. (accepted). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Ishioka: "Technical approach for the design of a high-resolition spectral model on a sphere : application to decarying turbulence"Nonlinear Processes in Geophysics. (accepted). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 石岡圭一: "回転球面上の減衰静2次元乱流からのパターン形成"ながれマルチメディア99. 1. (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Yoden: "Two-dimensional decaying turbulence on a rotation sphere"Il Nuovo Cimento. C-22(accepted). (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 豊田英司: "熱帯大気の暖水域に対する応答:アンサンブル水惑星実験による時間発展の抽出"ながれマルチメディア99. 1. (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Takehiro: "The effects of thermal boundary condition on convection in rapidly rotating spherical shells"Theoretical and Applied Mechanics. 48. 415-421 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Yamada: "Wavelet Analysis of Atmosphevic Wind, Turbulence Fluid and Seismic Acceleration Data" Wavelets and Their Applications, SIAM Boole Publications. 101-138 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Kida: "Thermally Driven MHD Dynamo in a Rotating Spherical Shell" Prog.Theor.Phys.Supp.130. 121-136 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Yamada: "Asymptotic Farmulac for the Lyapunov Spectrum of Fully Developed Shell Model Turbulence" Phys.Rev.E. 57. 6257-6260 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Kitauchi: "Intensification of Magnetic Field by Concentrate-and-Stretch of Magnetic Flux Lines" Phys.Fluids. 10. 457-468 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 石岡圭一: "FFT高速アルゴリズムの発見" 数学セミナー. 37-12. 34-39 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.-Y.Hayashi: "Emergence of circumpolar vortex in 2D turbulence on a Rotating Sphere" Developments in Geophysical Turbulence. (to appear).

    • Related Report
      1998 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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