From flows in a coffee cup to those of space - Physics of turbulence fluctuation

• Project/Area Number: 18540373
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kyoto University
• Principal Investigator: TOH Sadayoshi Kyoto University, 理学研究科, 准教授 (10217458)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥4,000,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥600,000); Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2007: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2006: ¥1,400,000 (Direct Cost: ¥1,400,000)
• Keywords: 乱流 / 乱流拡散 / 輸送現象 / 計算物理 / 非平衡 / 乱流現象 / 乱流混合 / 物性基礎論 / 流体物理 / 乱流相対拡散 / 自己相似電信方程式 / 秩序構造 / 直接数値シミュレーション / 流体物理学

Research Abstract

乱流輸送現象の基礎的な現象として乱流相対拡散を取り上げ、粒子対の相対距離の伸縮過程が、自己相似的な相関(持続性)を持つことを明らかにした。この伸縮過程を記述する確率密度分布関数に対する確率モデル(自己相似電信方程式)を作り、初期値問題を記述することができることを明らかにした。乱流揺らぎが支配的な系において、力学系的な視点から乱流の秩序形成や乱れ生成が理解できることを示した。

Research Products

• [Journal Article] Extraordinary increase of lifetime of localized cold clouds by the viscous effect in thermally unstable two-phase interstellar media (2009)
  • Author(s): H. Yatou,and S. Toh
  • Journal Title: Physical Review E 79 Pages: 36314-36314
  • Peer Reviewed
• [Journal Article] Telegraph-Type versus Diffusion-Type Models of Turbulent Relative Dispersion (2009)
  • Author(s): K. Kanatani, T. Ogasawara, S Toh
  • Journal Title: Jornal of Physical Society of Japan 78 Pages: 24401-24401
  • Peer Reviewed
• [Journal Article] Extraordinary increase of lifetime of localized cold clouds by the viscous effect in thermally unstable two-phase interstellar media (2009)
  • Author(s): H. Yatoh, S. Toh
  • Journal Title: Physical Review E 79 Pages: 36314-36314
  • Peer Reviewed
• [Journal Article] Telegraph-Type versus Diffusion-Type Models of Turbulent Relative Dispersion (2009)
  • Author(s): K. Kanatani, T. Ogasawara, S. Toh
  • Journal Title: Jornal of Physical Society of Japan 78 Pages: 24401-24401
  • Peer Reviewed
• [Journal Article] Numerical Study of 3D Free Convection under Rotation: Mean wind and Bolgiano-Obukohov Scaling (2008)
  • Author(s): T. Matsumoto, T. Mizukami and, S Toh
  • Journal Title: IUTAM BOOKSERIES 4 Pages: 403-407
  • Peer Reviewed
• [Journal Article] Invariants of the Richardson equation (2008)
  • Author(s): K.E.Lonngren,and S. Toh
  • Journal Title: Chaos, Solitons and Fractals 135 Pages: 148-150
  • Peer Reviewed
• [Journal Article] Invariants of the Richardson equation (2008)
  • Author(s): Kerl E. and Toh S.
  • Journal Title: chaos, Solitons, & fractals 35 Pages: 148-150
  • Peer Reviewed
• [Journal Article] Self-similar structure formation process in thermal turbulence Springer Proceedings in Physics (2007)
  • Author(s): H. Yatou,T, Ogasawara, T. Matsumoto,and S. Toh
  • Journal Title: 117 Pages: 367-369
  • Peer Reviewed
• [Journal Article] The Effect of Persistent Separation in Turbulent Relative Dispersion: Self-Similar Telegraph Equation (2007)
  • Author(s): K. Kanatani, T. Ogasawara,and S. Toh
  • Journal Title: Springer Proceedings in Physics 117 Pages: 523-525
  • Peer Reviewed
• [Journal Article] The Effect of Persistent Separation in Turbulent Relative Dispersion: Self-Similar Telegraph Equation (2007)
  • Author(s): Kanatani, K., Ogasawara, T. and Toh, S.
  • Journal Title: Advances in Turbulence XI: Proceedings of the 11th EUROMECH European Turbulence Conference Pages: 523-525
• [Journal Article] Self-similar structure formation process in thermal turbulence (2007)
  • Author(s): Yatou, H., Ogasawara, T., Matsumoto, T. and Toh, S.
  • Journal Title: Advances in Turbulence XI: Proceedings of the 11th EUROMECH European Turbulence Conference Pages: 367-369
• [Journal Article] Model of Turbulent Relative Dispersion : A Self-Similar Telegraph Equation. J. of Pys (2006)
  • Author(s): T. Ogasawara,and S. Toh
  • Journal Title: Soc. of Japan 75 Pages: 1-4
• [Journal Article] Turbulent Relative Dispersion in Two-Dimensional Free Convection Turbulence, J (2006)
  • Author(s): T. Ogasawara,and S. Toh
  • Journal Title: Phys. Soc. of Japan 75 Pages: 1-12
• [Journal Article] Invariants of the Richardson equation (2006)
  • Author(s): K.E.Lonngren, S.Toh
  • Journal Title: Chaos, Solitons ＆ Fractal (On line)
• [Journal Article] Turbulent relative dispersion in two-dimensional free convection turbulence (2006)
  • Author(s): T.Ogasawara, S.Toh
  • Journal Title: J. Phys. Soc. Jpn. 75・10 Pages: 104402-104402
• [Journal Article] A new model of turbulent relative dispersion : a self-similar telegraph equation based on persistently separating motions (2006)
  • Author(s): T.Ogasawara, S.Toh
  • Journal Title: J. Phys. Soc. Jpn. 75 Pages: 83401-83401
• [Presentation] チャネル乱流の大規模構造の性質を持つ厳密解 (2009)
  • Author(s): 藤定義、板野智昭、森田浩之
  • Organizer: 日本物理学会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-27
• [Presentation] 熱対流乱流特性に対する大規模循環流の影響 (2009)
  • Author(s): 加藤峻輔, 松本剛, 水上拓也, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-27
• [Presentation] 2次元逆カスケード乱流中の相対粒子拡散 (2009)
  • Author(s): 水田敦, 藤定義, 松本剛
  • Organizer: 日本物理学会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-27
• [Presentation] 発達したチャネル乱流における大規模構造ダイナミックスの同定とその不安定周期軌道との関連 (2008)
  • Author(s): 藤定義、板野智昭、森田浩之
  • Organizer: 日本物理学会
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-20
• [Presentation] 乱流相対拡散を記述する自己相似電信方程式の拡張 (2008)
  • Author(s): 藤定義、小笠原健、金谷健太郎
  • Organizer: 日本物理学会
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-20
• [Presentation] 宇宙星間空間における局在構造形成 (2008)
  • Author(s): 八登浩紀, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-20
• [Presentation] Dynamical characterization of large scale structures in channel flow turbulence (2008)
  • Author(s): 藤定義, 板野智明
  • Organizer: Wall bounded shearflow : transition and turbukence
  • Place of Presentation: 英国ニュートン研究所
  • Year and Date: 2008-09-10
• [Presentation] 乱流相対拡散に対する初期相対距離の影響 (2008)
  • Author(s): 金谷健太郎, 小笠原健, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 大阪、近畿大学
  • Year and Date: 2008-03-24
• [Presentation] Dynamical characterization of large scale structures in channel flow turbulence (2008)
  • Author(s): 藤定義、板野智昭
  • Organizer: 国際会議 Wall bounded shearflow: transition and turbulence
  • Place of Presentation: 英国ニュートン研究所
• [Presentation] 乱流相対拡散に対する初期相対距離の影響 (2008)
  • Author(s): 金谷健太郎, 小笠原健, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 近畿大学
• [Presentation] 自由熱対流系での乱流遷移段階における渦構造形成過程 (2008)
  • Author(s): 八登浩紀, 小笠原健, 松本剛, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 近畿大学
• [Presentation] チャネル乱流における共維持過程の動的モデル (2007)
  • Author(s): 藤定義, 森田浩之, 板野智昭
  • Organizer: 日本物理学会
  • Place of Presentation: 札幌,北海道大学
  • Year and Date: 2007-09-22
• [Presentation] 星間媒質における空間局在構造の緩和過程 (2007)
  • Author(s): 八登浩紀,藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 札幌,北海道大学
  • Year and Date: 2007-09-22
• [Presentation] 星間物質を記述する方程式における空間局在解の存在とその性質 (2007)
  • Author(s): 八登浩紀, 藤定義
  • Organizer: 日本流体力学会 年会 2007
  • Place of Presentation: 東京
  • Year and Date: 2007-08-07
• [Presentation] Self-Similar Structure Formation Process in Thermal Turbulence (2007)
  • Author(s): H. Yatou, T. Ogasawara, T. Matsumoto and S. Toh
  • Organizer: 11th European Turbulence conference
  • Place of Presentation: Portugal, Port
  • Year and Date: 2007-06-27
• [Presentation] The Effect of Persistent Separation in Turbulent Relative Dispersion: Self-Similar Telegraph Equation (2007)
  • Author(s): K. Kanatani, T. Ogasawara and S. Toh
  • Organizer: 11th European Turbulence conference
  • Place of Presentation: Portugal, Port
  • Year and Date: 2007-06-26
• [Presentation] Unstable Periodic an Travering wave solutions crresponding to large scale motions in channel flow (2007)
  • Author(s): 藤 定義、板野 智明
  • Organizer: SIAM conference on application of Dynamical systems
  • Place of Presentation: 米国Snowbird
  • Year and Date: 2007-05-29
• [Presentation] チャネル乱流における共維持過程の動的モデル (2007)
  • Author(s): 藤定義, 森田浩之, 板野智昭
  • Organizer: 日本物理学会
  • Place of Presentation: 北大
• [Presentation] 星間媒質における空間局在構造の緩和過程 (2007)
  • Author(s): 八登浩紀, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 北大
• [Presentation] 3次元熱対流乱流の乱流特性と大規模流 (2007)
  • Author(s): 松本剛, 水上拓也, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 鹿児島大学
• [Presentation] 「有限な慣性領域における乱流相対拡散」藤定義,板野智昭、「チャネル乱流の秩序模構造の動力学」 (2007)
  • Author(s): 金谷健太郎, 小笠原健, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 鹿児島大学
• [Presentation] The Effect of Persistent Separation in Turbulent Relative Dispersion: Self-Similar Telegraph Equation (2007)
  • Author(s): K. Kanatani, T. Ogasawara,and S. Toh
  • Organizer: The 11th EUROMECH European Turbulence Conference
  • Place of Presentation: Porto, Portugal
• [Presentation] Self-similar structure formation process in thermal turbulence (2007)
  • Author(s): H.Yatou, T.Ogasawara, T.Matsumoto,and S.Toh
  • Organizer: The 11th EUROMECH European Turbulence Conference
  • Place of Presentation: Porto, Portugal
• [Presentation] Unstable Periodic and Travelling Wave Solutions Corresponding to Large Scale Structures in Channel Flow Turbulence (2007)
  • Author(s): S.Toh,and T.Itano
  • Organizer: SIAM Conference on Applications of Dynamical Systems
  • Place of Presentation: Snowbird USA
• [Presentation] 乱流相対分散に対する自己相似電信方程式の直接数値シミュレーションによる検証 (2006)
  • Author(s): 金谷健太郎, 小笠原健, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 千葉大学
• [Presentation] 乱流遷移段階における自己相似的構造形成過程の定量的解析 (2006)
  • Author(s): 八登浩紀, 小笠原健, 松本剛, 藤定義
  • Organizer: 日本物理学会
  • Place of Presentation: 千葉大学
• [Presentation] チャネル乱流における大規模構造と壁近傍構造の共維持機構 (2006)
  • Author(s): 藤定義, 板野智昭
  • Organizer: 日本物理学会
  • Place of Presentation: 千葉大学