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Dynamical systems approach for spatially segregated multi-scale turbulence with spatial self-similarity

Research Project

Project/Area Number 22540386
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKyoto University

Principal Investigator

SADAYOSHI Toh  京都大学, 理学(系)研究科(研究院), 准教授 (10217458)

Project Period (FY) 2010-04-01 – 2013-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2010: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords乱流 / 局在構造 / 多重スケール / 素過程 / 輸送現象 / 力学系 / 厳密解 / 多スケール / フィルター / 数値的厳密解 / 壁乱流 / クリロフ部分空間 / 大規模構造 / クリロフ分解法 / 数値的厳密
Research Abstract

To dynamically describe spatially segregated turbulence, we developed a damping filter method: To the governing equation we add the filter which damps out fluctuations in the external region of the focused spatial region where the turbulence is sustained. To obtain the corresponding exact solution, we have applied Newton method with the damping filter to one dimensional model equation and succeeded to get spatially localized solutions. Dealing with traveling solitary waves, we found that some singularities appear in the limit that the amplitude of the filter goes to zero and we proposed a method to remove the singularity.
We showed that in the 2D inverse energy cascade turbulence, spatially localized vortices produced by a random forcing induce non-local energy transfer and this nonlocal transfer breaks universality of energy cascade.

Report

(4 results)
  • 2013 Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (24 results)

All 2014 2013 2012 2011 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (21 results)

  • [Journal Article] Damping filter method for obtaining spatially localized solutions2014

    • Author(s)
      Toshiki Teramura and Sadayoshi Toh
    • Journal Title

      PHYSICAL REVIEW E

      Volume: 89 Issue: 5 Pages: 052910-052910

    • DOI

      10.1103/physreve.89.052910

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Damping filter method for obtaining spatially localized solutions2014

    • Author(s)
      Damping filter method for obtaining spatially localized solutions
    • Journal Title

      Physical Review E

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Transition of the scaling law in inverse energy cascade range caused by a nonlocal excitation of coherent structures observed in two-dimensional turbulent fields2013

    • Author(s)
      Atsushi Mizuta, Takeshi Matsumoto, and Sadayoshi Toh
    • Journal Title

      Phys. Rev. E

      Volume: 88 Issue: 5 Pages: 53009-53009

    • DOI

      10.1103/physreve.88.053009

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] Coherence in turbulence2014

    • Author(s)
      Sadayoshi To
    • Organizer
      Mathematical Theory of Turbulence via Harmonic Analysis and Computational Fluid Dynamics in 2014
    • Place of Presentation
      奈良日航ホテル
    • Related Report
      2013 Final Research Report 2012 Annual Research Report
  • [Presentation] Damping filter method for a spatially localized solution in tow-dimensional channek flow2014

    • Author(s)
      Toshiki Teramura and Sadayoshi Toh
    • Organizer
      Euromech Colloquium EC565 on SUBCRITICAL TRANSITION TO TURBULENCE
    • Place of Presentation
      CARGÈSE, Corsica, France
    • Related Report
      2013 Final Research Report
  • [Presentation] Transition of universality observed in 2D inversed cascade2013

    • Author(s)
      Atsushi Mizuta, Takeshi Matsumoto and Sadayoshi Toh
    • Organizer
      IUTAM symposium
    • Place of Presentation
      九州大学
    • Related Report
      2013 Final Research Report
  • [Presentation] A method for obtaining traveling wave solution spatially localized in the stream-wise direction2013

    • Author(s)
      Toshiki Teramura and Sadayoshi Toh
    • Organizer
      European Turbulence Conference 14
    • Place of Presentation
      ENS de Lyon, Frence
    • Related Report
      2013 Final Research Report
  • [Presentation] A method for obtaining traveling-wave solutions spatially localized in the stream-wise direction2013

    • Author(s)
      T. Teramura and S. Toh
    • Organizer
      European Turbulence Conference 14
    • Place of Presentation
      ENS de Lyon, Frence
    • Related Report
      2012 Annual Research Report
  • [Presentation] Transition of universality observed in 2D inverse cascade2013

    • Author(s)
      A. Mizuta, T. Matsumoto, and S. Toh
    • Organizer
      IUTAM symposium
    • Place of Presentation
      九州大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 2次元チャンネル流の力学系的解析2013

    • Author(s)
      寺村俊紀、 藤定義
    • Organizer
      第27回数値流体力学シンポジウム
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 二次元エネルギー逆カスケード乱流中の二粒子拡散2013

    • Author(s)
      松原直哉、松本剛、藤定義
    • Organizer
      流体力学会
    • Place of Presentation
      東京農工大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 荒い壁表面でのナノバブルの縮小過程の分子動力学シミュレーション2013

    • Author(s)
      河野俊輔、藤定義
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] The connection of differently spatially localized solution revealed by the filtering method2012

    • Author(s)
      Toshiki Teramura and Sadayoshi Toh
    • Organizer
      XXIII ICTAM
    • Place of Presentation
      Beijing China
    • Related Report
      2013 Final Research Report
  • [Presentation] The connection of differently spatially localized solution revealed by the filtering method2012

    • Author(s)
      T. Teramura and S. Toh
    • Organizer
      XXIII ICTAM
    • Place of Presentation
      Beijin, chaina
    • Related Report
      2012 Annual Research Report
  • [Presentation] フィルターによる発達したチャネル乱流の階層構造の分解2012

    • Author(s)
      藤定義、寺村俊紀
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
  • [Presentation] 壁乱流局在構造の抽出のためのフィルター法の改良2012

    • Author(s)
      寺村俊紀、藤定義
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 平坦な自由界面でのパッシブスカラー輸送を支配する乱流特性2011

    • Author(s)
      藤定義
    • Organizer
      日本物理学会
    • Place of Presentation
      新潟大学
    • Year and Date
      2011-03-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quantitative studies of turbulent mass flux at interfaces by Direct numerical simulation

    • Author(s)
      Toh, S. and Okahashi,Y
    • Organizer
      13th European Turbulence Conference
    • Place of Presentation
      ポーランド、ワルシャワ大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] フィルター法を用いた壁乱流局在構造の抽出

    • Author(s)
      藤定義、寺村俊紀
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] 乱流への応用を目指したフィルターを用いた局在解構成手法の有効性の検証

    • Author(s)
      寺村俊紀、藤定義
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] ナノバブル寿命に対するサイズおよび熱浴の影響

    • Author(s)
      河野俊輔、藤定義
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] 平坦な自由界面を通して乱流中に吸収されるパッシブスカラー

    • Author(s)
      藤定義、岡橋裕介、寺村俊紀
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] フィルターを用いた乱流に埋め込まれた局在解の探査

    • Author(s)
      寺村俊紀、藤定義
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] MDを用いたナノバブル寿命に対する壁面効果の研究

    • Author(s)
      河野俊輔、藤定義
    • Organizer
      日本物理学会
    • Place of Presentation
      富山大学
    • Related Report
      2011 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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