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Coexistence Mechanism of Turbulent Regions with Different Statistical Properties in a Uniform System

Research Project

Project/Area Number 25400412
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionDoshisha University

Principal Investigator

TAKAOKA Masanori  同志社大学, 理工学部, 教授 (20236186)

Co-Investigator(Kenkyū-buntansha) MIZUNO Yoshinori  同志社大学, 理工学部, 助教 (70402542)
YOKOYAMA Naoto  京都大学, 工学研究科, 助教 (80512730)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords共存機構 / 弾性波動乱流 / 平行平板間乱流 / 数値シミュレーション / 冪乗則スペクトル / エネルギー輸送 / 階層構造 / 非線形エネルギー / 強弱乱流の共存 / 弾性波動 / エネルギー収支 / 実空間の秩序構造 / 長大構造 / エネギー輸送 / 乱流の共存
Outline of Final Research Achievements

Although turbulence has characteristics of active mixing and interaction among scales, non-uniformity sometimes becomes pronounced. In this study, we focus on the coexistence of turbulent regions with different statistical properties in turbulence, and obtain following results.
We have clarified that, in turbulent channels, the hierarchical structures of energy transfer in the perpendicular direction to the wall and the energy transfers among each directional component of turbulence. We have obtained an analytical expression for the separation wavenumber between strong turbulence at low wavenumbers and weak turbulence at high wavenumbers in wave turbulence on an elastic thin plate. We have used the one-wavenumber representation of nonlinear energy and clarified the energy flow with satisfying the detailed energy balance for the first time in wave turbulence systems. We further clarified the relation between the real space structure and the energy transfer in active and moderate phases.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (26 results)

All 2016 2015 2014 Other

All Journal Article (5 results) (of which Peer Reviewed: 4 results,  Open Access: 4 results,  Acknowledgement Compliant: 4 results) Presentation (21 results) (of which Int'l Joint Research: 5 results,  Invited: 1 results)

  • [Journal Article] 強弱非線形性の共存する弾性波動の乱流的性質2016

    • Author(s)
      横山直人、高岡正憲
    • Journal Title

      数理解析研究所 講究録

      Volume: 印刷中

    • Related Report
      2015 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Nonlinear energy in a wave turbulence system2015

    • Author(s)
      Naoto Yokoyama, Masanori Takaoka
    • Journal Title

      Proceedings of the Estonian Academy of Science

      Volume: 64 Issue: 3 Pages: 430-437

    • DOI

      10.3176/proc.2015.3s.14

    • NAID

      120005676632

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Bundle structures of stretching-energy and nonlinear interactions among modes in elastic wave turbulence2015

    • Author(s)
      Masanori Takaoka and Naoto Yokoyama
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 574 Pages: 012030-012030

    • DOI

      10.1088/1742-6596/574/1/012030

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Single-wave-number representation of nonlinear energy spectrum in wave turbulence of Foeppl--von Karman equation: energy decomposition analysis and energy budget2014

    • Author(s)
      Naoto Yokoyama and Masanori Takaoka
    • Journal Title

      Physical Review E

      Volume: 90 Issue: 6 Pages: 063004-063004

    • DOI

      10.1103/physreve.90.063004

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Identification of a separation wave number between weak and strong turbulence spectra for a vibrating plate2014

    • Author(s)
      N. Yokoyama, M. Takaoka
    • Journal Title

      Physical Review E

      Volume: 89

    • NAID

      120005399097

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 弾性波動乱流の外力スケール依存性2016

    • Author(s)
      高岡正憲, 横山直人
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大 泉キャンパス(仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] 回転乱流におけるエネルギースペクトルの初期条件依存性2016

    • Author(s)
      横山直人, 高岡正憲
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大 泉キャンパス(仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] チャネル乱流における速度乱れの乱流輸送のスペクトルとそのレイノルズ数依存性2015

    • Author(s)
      水野吉規
    • Organizer
      日本流体力学会年会2015
    • Place of Presentation
      東京工業大学大岡山キャンパス(東京都目黒区)
    • Year and Date
      2015-09-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] 弾性波動乱流の実空間におけるエネルギー収支と秩序構造2015

    • Author(s)
      高岡正憲, 横山直人
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      関西大学千里山キャンパス(吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] Spectra of turbulent energy transport in channel flows2015

    • Author(s)
      Yoshinori Mizuno
    • Organizer
      JJ70 Conference in honor of Prof. Javier Jimenez
    • Place of Presentation
      Salamanca (Spain)
    • Year and Date
      2015-09-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Spectra of turbulent energy transport in channel flows2015

    • Author(s)
      Yoshinori Mizuno
    • Organizer
      15th European Turbulence Conference
    • Place of Presentation
      the Delft University of Technology, Delft (The Netherlands)
    • Year and Date
      2015-08-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Spatial structures of energy transfers in elastic wave turbulence2015

    • Author(s)
      Masanori TAKAOKA, Naoto YOKOYAMA
    • Organizer
      15th European Turbulence Conference
    • Place of Presentation
      the Delft University of Technology, Delft (The Netherlands)
    • Year and Date
      2015-08-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A numerical analysis of detailed energy transfers in elastic-wave turbulence2015

    • Author(s)
      Naoto Yokoyama, Masanori Takaoka
    • Organizer
      15th European Turbulence Conference
    • Place of Presentation
      the Delft University of Technology, Delft (The Netherlands)
    • Year and Date
      2015-08-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Wave turbulence properties of vibration in thin elastic plate2015

    • Author(s)
      Naoto Yokoyama, Masanori Takaoka
    • Organizer
      Workshop on Nonlinear Waves and Fluid Mechanics
    • Place of Presentation
      National Institute for Mathematical Sciences, Daejeon (Korea)
    • Year and Date
      2015-08-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 強弱非線形性の共存する弾性波動の乱流的性質2015

    • Author(s)
      横山直人, 高岡正憲
    • Organizer
      京都大学数理解析研究所研究集会: 乱流を介在した流体現象の数理
    • Place of Presentation
      京都大学数理解析研究所, 京都市
    • Year and Date
      2015-07-22
    • Related Report
      2015 Annual Research Report
  • [Presentation] 加法的外力により維持される弾性波動乱流のスペクトルと実空間構造2015

    • Author(s)
      高岡正憲、横山直人
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学(東京都新宿区)
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 波動乱流における非線形エネルギーを考慮したエネルギー収支2015

    • Author(s)
      横山直人、高岡正憲
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学(東京都新宿区)
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] チャネル乱流における速度乱れのエネルギー輸送のスペクトル2014

    • Author(s)
      水野吉規
    • Organizer
      日本流体力学会年会2014
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2014-09-15 – 2014-09-17
    • Related Report
      2014 Research-status Report
  • [Presentation] Nonlinear energy in wave turbulence systems2014

    • Author(s)
      Naoto Yokoyama, Masanori Takaoka
    • Organizer
      IUTAM Symposium 2014: Complexity of Nonlinear Waves
    • Place of Presentation
      Tallin (Estonia)
    • Year and Date
      2014-09-08 – 2014-09-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Foeppl-von Karman方程式の波動乱流における実空間構造と非線形相互作用2014

    • Author(s)
      高岡正憲、横山直人
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学(春日井市)
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Bundle structures of stretching-energy and nonlinear interactions among modes in elastic wave turbulence2014

    • Author(s)
      Masanori Takaoka, Naoto Yokoyama
    • Organizer
      IC-MSQUARE 2014
    • Place of Presentation
      Madrid (Spain)
    • Year and Date
      2014-08-28 – 2014-08-31
    • Related Report
      2014 Research-status Report
  • [Presentation] 弾性波動乱流におけるエネルギースペクトルと非線形相互作用の構造

    • Author(s)
      横山直人
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学常三島キャンパス(徳島市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 弾性薄板における強・弱乱流スペクトルの共存に対する外力・散逸の影響

    • Author(s)
      高岡正憲
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学常三島キャンパス(徳島市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 乱れのダイナミックスにおける大規模構造の役割

    • Author(s)
      水野吉規
    • Organizer
      九州大学応用力学研究所研究集会「壁乱流における大規模構造の統計法則と動力学に果たす役割」
    • Place of Presentation
      九州大学応用力学研究所(福岡市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 弾性波動乱流における外力・散逸に対するスペクトル形状の依存性

    • Author(s)
      高岡正憲
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス(平塚市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 弾性波動乱流における強非線形相互作用の同定

    • Author(s)
      横山直人
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス(平塚市)
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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