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2011 Fiscal Year Final Research Report

Flow pattern formation in a geophysical thermal convection system

Research Project

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Project/Area Number 20340018
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKyoto University

Principal Investigator

YAMADA Michio  京都大学, 数理解析研究所, 教授 (90166736)

Co-Investigator(Kenkyū-buntansha) OKAMOTO Hisashi  京都大学, 数理解析研究所, 教授 (40143359)
TAKEHIRO Shin-ichi  京都大学, 数理解析研究所, 准教授 (30274426)
HAYASHI Yoshi-yuki  神戸大学, 理学研究科, 教授 (20180979)
Project Period (FY) 2008 – 2011
Keywords応用数学 / 流体 / 熱対流
Research Abstract

Thermal convection in a rotating spherical shell, typical in earth and planetary sciences, is studied with an attention focused on its dependence on the angular velocities of the inner and the outer boundaries and on the temperature difference between the boundaries. The bifurcation diagram is obtained, where the zonal phase velocity of the convection pattern is found to change its direction, and its physical interpretation is given in terms of the vorticity dynamics and weakly nonlinear theory. Dynamical interaction between the boundaries and the fluid is also studied to find the differential rotation and chaotic behaviors of the boundaries.

  • Research Products

    (47 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (13 results) (of which Peer Reviewed: 11 results) Presentation (34 results)

  • [Journal Article] Covariant Lyapunov analysis of chaotic Kolmogorov flows2012

    • Author(s)
      Masanobu Inubushi, Miki U. Kobayashi, Shin-ichi Takehiro, Michio Yamada
    • Journal Title

      Physical Review E

      Volume: vol.85 Pages: 016331

    • DOI

      DOI:10.1103/PhysRevE.85.016331

  • [Journal Article] Stability and bifurcation diagram of Boussinesq thermal convection in a moderately rotating spherical shell2011

    • Author(s)
      Keiichi Kimura, Shin-ichi Takehiro, Michio Yamada
    • Journal Title

      Physics of Fluids

      Volume: vol.23 Pages: 074101

    • DOI

      DOI:10.1063/1.3602917

    • Peer Reviewed
  • [Journal Article] Weak-field dynamo emerging in a rotating spherical shell with stress-free top and no-slip bottom boundaries2011

    • Author(s)
      Youhei Sasaki, Shin-ichi Takehiro, Kiyoshi Kuraoto, Yoshi-Yuki Hayashi
    • Journal Title

      Physics of earth and planetary interiors

      Volume: vol.188 Pages: 203-213

    • DOI

      DOI:10.1016/j.pepi.2011.06.019

    • Peer Reviewed
  • [Journal Article] Linear stability of steady zonal jet flows induced by a small-scale forcing on a beta plane2011

    • Author(s)
      Kiori Obuse, Shin-ichi Takehiro, Michio Yamada
    • Journal Title

      Physica D

      Volume: vol.240 Pages: 1825-1834

    • Peer Reviewed
  • [Journal Article] Retrograde equatorial surface flows generated by thermal convection confined under a stably stratified layer in a rapidly rotating spherical shell2011

    • Author(s)
      Shin-ichi Takehiro, Michio Yamada, Yoshi-Yuki Hayashi
    • Journal Title

      Geophysical and Astrophysical Fluid Dynamics

      Volume: vol.105 Pages: 61-81

    • DOI

      DOI:10.1080/03091929.2010.512559

    • Peer Reviewed
  • [Journal Article] On the retrograde propagation of critical thermal convection in a slowly rotating spherical shell2011

    • Author(s)
      Shin-ichi Takehiro
    • Journal Title

      Journal of Fluid Mechanics

      Volume: vol.659 Pages: 505-515

    • DOI

      DOI:10.1017/S0022112010003101

    • Peer Reviewed
  • [Journal Article] Long-time asymptotic states of forced two-dimensional barotropic incompressible flows on a rotating sphere2010

    • Author(s)
      K. Obuse, S. Takehiro, M. Yamada
    • Journal Title

      Physics of Fluids

      Volume: vol.22 Pages: 056601

    • DOI

      DOI:10.1063/1.3407652

    • Peer Reviewed
  • [Journal Article] Kinetic energy budget analysis of spiraling columnar critical convection in a rapidly rotating spherical shell2010

    • Author(s)
      Shin-ichi Takehiro
    • Journal Title

      Fluid Dynamics Research

      Volume: vol.42 Pages: 055501

    • DOI

      DOI:10.1088/0169-5983/42/5/055501

    • Peer Reviewed
  • [Journal Article] Amplitude-phase synchronization at the onset of permanent spatiotemporal chaos2010

    • Author(s)
      A. C. Chian, R. A. Rodrigo, E. L. Rempel, Y. Saiki and M. Yamada
    • Journal Title

      Physical Review Letters

      Volume: vo. 104 Pages: 254102

    • DOI

      DOI:10.1103/PhysRevLett.104.254102

  • [Journal Article] Time averaged properties along unstable periodic orbits and chaotic orbits in ordinary differential equation systems2009

    • Author(s)
      Yoshitaka Saiki, Michio Yamada
    • Journal Title

      Physical Review E

      Volume: vol.79 Pages: 015201(R)

    • DOI

      DOI:10.1103/PhysRevE.79.015201

    • Peer Reviewed
  • [Journal Article] Stability of flow on a rotating polar cap2009

    • Author(s)
      Yuki Taniguchi, Hediaki Kitauchi, Michio Yamada
    • Journal Title

      Fluid Dynamics Research

      Volume: vol.41 Pages: 045511

    • DOI

      DOI:10.1088/0169-5983/41/4/045511

    • Peer Reviewed
  • [Journal Article] Physical interpretation of spiraling-columnar convection in a rotating annulus with radial propagation properties of Rossby waves2008

    • Author(s)
      Shin-ichi Takehiro
    • Journal Title

      Journal of Fluid Mechanics

      Volume: vol.614 Pages: 67-86

    • DOI

      DOI:10.1017/S0022112008003194

    • Peer Reviewed
  • [Journal Article] Intermittent cumulonimbus activity breaking the three-layer cloud structure of Jupiter

    • Author(s)
      K. Sugiyama, K. Nakajima, M. Odaka, M. Ishiwatari, K. Kuramoto, Y. Morikawa, S. Nishizawa, Y. O. Takahashi, Y.-Y. Hayashi
    • Journal Title

      Geophysical Research Letters

      Volume: vol.38 Pages: L13201

    • DOI

      DOI:10.1029/2011GL047878

    • Peer Reviewed
  • [Presentation] Beta plane turbulence2012

    • Author(s)
      Michio Yamada
    • Organizer
      Wave turbulence meeting 2012
    • Place of Presentation
      Gifu University, Japan.
    • Year and Date
      2012-03-14
  • [Presentation] 波による秩序流形成の定量的評価について2012

    • Author(s)
      山田道夫
    • Organizer
      HMCセミナー
    • Place of Presentation
      金沢大学
    • Year and Date
      2012-01-27
  • [Presentation] Bifurcations of Zonal Flow Patterns and Zonal Mean Flows in 2D Navier-Stokes flow on a Sphere2012

    • Author(s)
      Eiichi Sasaki
    • Organizer
      Dynamics Days 2012 US
    • Place of Presentation
      Baltimore, USA
    • Year and Date
      2012-01-05
  • [Presentation] Rossby波による平均流加速-定量的予測について2011

    • Author(s)
      山田道夫
    • Organizer
      第13回地球流体力学研究集会「地球流体における波動と対流現象の力学
    • Place of Presentation
      九州大学
    • Year and Date
      2011-12-15
  • [Presentation] Covariant Lyapunov analysis of chaotic Kolmogorov flows and time-correlation function2011

    • Author(s)
      Masanobu Inubushi
    • Organizer
      IUTAM Symposium on 50 Years of Chaos : Applied and Theoretical
    • Place of Presentation
      Kyoto University, Japan
    • Year and Date
      2011-11-30
  • [Presentation] Instability and merging of jets in turbulent flows on a beta-plane2011

    • Author(s)
      Kiori Obuse
    • Organizer
      JIFT Workshop : Hierarchical Self-Organization of Turbulence and flows in Plasmas, Oceans and Atmospheres
    • Place of Presentation
      Kyoto University, Japan
    • Year and Date
      2011-10-24
  • [Presentation] Rossby waves and zonal flow generation. JIFT workshop : Hierarchical Self-Organization of Turbulence and Flows in Plasmas2011

    • Author(s)
      Michio Yamada
    • Organizer
      Oceans and Atmosphere
    • Place of Presentation
      Kyoto University, Japan
    • Year and Date
      2011-10-24
  • [Presentation] Numerical study of two-dimensional turbulence on a rotating sphere2011

    • Author(s)
      Michio Yamada
    • Organizer
      The 36th Sapporo symposium on partial differential equations
    • Place of Presentation
      Hokkaido University, Japan
    • Year and Date
      2011-08-23
  • [Presentation] Stability and bifurcation diagram of Boussinesq thermal convection in a rotating spherical shell2011

    • Author(s)
      Keiichi Kimura
    • Organizer
      The 4th International Symposium Bifurcations and Instabilities in Fluid Dynamics(BIFD2011)
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2011-07-20
  • [Presentation] 回転球面上の流体運動2011

    • Author(s)
      山田道夫
    • Organizer
      風工学会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2011-05-24
  • [Presentation] 回転球殻内におけるBoussinesq熱対流による平均帯状流生成メカニズム2011

    • Author(s)
      木村恵二
    • Organizer
      日本地球惑星科学連合2011年大会
    • Place of Presentation
      千葉幕張メッセ
    • Year and Date
      2011-05-22
  • [Presentation] 回転球面上の極冠流れの西岸強化流への転移について2011

    • Author(s)
      谷口由紀
    • Organizer
      第60回理論応用力学講演会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2011-03-10
  • [Presentation] 回転球殻内のBoussinesq熱対流の安定性と分岐構造2010

    • Author(s)
      木村恵二
    • Organizer
      日本物理学会(秋季大会)
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-25
  • [Presentation] Bifurcation structure of zonal flow solutions on a rotating sphere2010

    • Author(s)
      Eiichi Sasaki
    • Organizer
      Dynamics Days Europe 2010
    • Place of Presentation
      明治大学
    • Year and Date
      2010-09-08
  • [Presentation] 回転球殻内におけるBoussinesq熱対流の安定性と分岐構造2010

    • Author(s)
      木村恵二
    • Organizer
      日本応用数理学会2010年度年会
    • Place of Presentation
      明治大学
    • Year and Date
      2010-09-08
  • [Presentation] Stability and bifurcation diagram of Boussinesq thermal convection in a rotating spherical shell2010

    • Author(s)
      K. Kimura
    • Organizer
      12th Symposium of Study of the Earth's Deep Interior(SEDI)
    • Place of Presentation
      University of California, Santa Barbara, USA
    • Year and Date
      2010-07-21
  • [Presentation] 回転球殻内におけるBoussinesq熱対流の有限振幅パターンの安定性と伝播方向について2010

    • Author(s)
      木村恵二
    • Organizer
      2010年日本地球惑星科学連合大会
    • Place of Presentation
      千葉幕張メッセ
    • Year and Date
      2010-05-24
  • [Presentation] 回転球殻内におけるBoussinesq流体の有限振幅パターンの安定性と伝播方向について2010

    • Author(s)
      木村恵二
    • Organizer
      統計数理研究所共同利用研究集会「乱流の統計理論とその応用」
    • Place of Presentation
      東京都
    • Year and Date
      2010-03-17
  • [Presentation] 2次元Navier-Stokes方程式における乱流化について2010

    • Author(s)
      山田道夫
    • Organizer
      北陸応用数理研究会2010
    • Place of Presentation
      金沢大学
    • Year and Date
      2010-02-13
  • [Presentation] Mechanism of a temporal intermittency in the GOY shell model turbulence2010

    • Author(s)
      Miki U, Kobayashi
    • Organizer
      Exploring Complex Dynamics in High-Dimensional Chaotic Systems
    • Place of Presentation
      Max Planck Institute, Germany
    • Year and Date
      2010-01-15
  • [Presentation] 回転球面上における2次元強制乱流2009

    • Author(s)
      小布施祈織
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-28
  • [Presentation] Time averaged properties along unstable periodic orbits in some systems of differential equations2009

    • Author(s)
      Y. Saiki
    • Organizer
      The Third International Symposium on Recurrence Plots
    • Place of Presentation
      University of Montreal, Canada
    • Year and Date
      2009-08-26
  • [Presentation] 乱流の少数自由度モデルと力学系的記述2009

    • Author(s)
      山田道夫
    • Organizer
      数理解析研究所研究集会「双曲力学系から大自由度力学系へ」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-08-20
  • [Presentation] 大自由度力学系としての乱流2009

    • Author(s)
      山田道夫
    • Organizer
      数理解析研究所研究集会「双曲力学系から大自由度力学系へ」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-08-18
  • [Presentation] Two-dimensional turbulence on a rotating sphere and the beta-plane2009

    • Author(s)
      Michio YAMADA
    • Organizer
      Lecture Meeting : Hasegawa-Mima equation, 30 years and future
    • Place of Presentation
      京都大学
    • Year and Date
      2009-05-21
  • [Presentation] Two-dimensional turbulence on a rotating sphere2009

    • Author(s)
      M. Yamada
    • Organizer
      The 5th GN workshop : Workshop on Wave Turbulence
    • Place of Presentation
      Gifu University
    • Year and Date
      2009-03-27
  • [Presentation] 回転球面上の2次元流体運動について2009

    • Author(s)
      山田道夫
    • Organizer
      北陸応用数理研究会2009
    • Place of Presentation
      金沢大学
    • Year and Date
      2009-02-12
  • [Presentation] Time Averaged Properties along Unstable Periodic Orbits in Some Systems of Ordinary Differential Equations2009

    • Author(s)
      Y. Saiki
    • Organizer
      Dynamics Days 2009
    • Place of Presentation
      San Diego(USA)
    • Year and Date
      2009-01-10
  • [Presentation] 低次元カオス系における軌道平均値について2008

    • Author(s)
      山田道夫
    • Organizer
      岐阜非線形セミナー
    • Place of Presentation
      岐阜大学工学部
    • Year and Date
      2008-12-05
  • [Presentation] 回転球面上の極冠領域内の流れの安定性2008

    • Author(s)
      谷口由紀
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2008-09-17
  • [Presentation] 回転球面上の極冠領域内の流れの安定性2008

    • Author(s)
      谷口由紀
    • Organizer
      日本流体力学会年会2008
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-09-06
  • [Presentation] 回転球面上の円領域内の流れパターンとその安定性について2008

    • Author(s)
      谷口由紀
    • Organizer
      第57回理論応用力学講演会
    • Place of Presentation
      日本学術会議
    • Year and Date
      2008-06-12
  • [Presentation] 回転球面上の円領域内の流れパターンとその安定性について2008

    • Author(s)
      谷口由紀
    • Organizer
      日本地球惑星科学連合2008年大会
    • Place of Presentation
      千葉幕張メッセ
    • Year and Date
      2008-05-27
  • [Presentation] 上層の安定成層下に閉じ込められた高速回転する球殻内の超臨界対流により引き起こされる赤道逆行流2008

    • Author(s)
      竹広真一
    • Organizer
      日本地球惑星科学連合2008年大会
    • Place of Presentation
      千葉幕張メッセ
    • Year and Date
      2008-05-27

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Published: 2013-07-31  

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