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Numerical and Experimental Elucidation of Statistical Laws and Spatial Structures for Large-Scale Motion in Turbulence

Research Project

Project/Area Number 22540402
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 InstitutionDoshisha University

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) MOURI Hideaki  気象庁気象研究所, 物理気象研究部, 主任研究官 (10354490)
MATSUMOTO Takeshi  京都大学, 理学研究科, 助教 (20346076)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords流体物理 / 乱流 / シミュレーション / 風洞実験 / 確率過程 / 統計熱力学形式 / 流体
Research Abstract

Although turbulence, which is ubiquitous around us, has been studied through the ages, the dynamics at small scales where the statistical law is universal has been the main target. In this study, we focus on the large-scale dynamics and obtain following results. (1) We have proposed the theoretical framework for the fluctuation of kinetic energy at large scales. (2) We have shown that statistical laws can be described universally by normalizing them with their correlation length. (3) We have reproduced the log-normality at large scales by numerically simulating the fluid equation and the stochastic process equation. (4) We have shown that in some wave-turbulence system, two turbulence states which have different statistical laws coexist.

Report

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

    (54 results)

All 2013 2012 2011 2010 Other

All Journal Article (22 results) (of which Peer Reviewed: 13 results) Presentation (32 results)

  • [Journal Article] Weak and strong turbulence spectra for elastic thin plate2013

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

      Physical Review Letter

      Volume: vol. 110 Issue: 10

    • DOI

      10.1103/physrevlett.110.105001

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Large-scale lognormality in turbulence modeled by the Ornstein-Uhlenbeck process2013

    • Author(s)
      T.Matsumoto, M.Takaoka
    • Journal Title

      Physical Review E

      Volume: vol. 87 Issue: 1

    • DOI

      10.1103/physreve.87.013008

    • NAID

      120005242570

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 弾性波動乱流のス ケール依存性と異種乱流の共存について2013

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

      九州大学応用力学研究所研究集会報告

      Pages: 1-7

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Navier-Stokes 乱流での大スケール揺らぎについて2013

    • Author(s)
      高岡正憲
    • Journal Title

      数理解析研究所講究録

      Pages: 1-6

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1822-01.pdf

    • Related Report
      2012 Final Research Report
  • [Journal Article] 乱流エネルギー散逸率の規格化について2013

    • Author(s)
      毛利英明
    • Journal Title

      数理解析研究所講究録

      Pages: 18-23

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1822-03.pdf

    • Related Report
      2012 Final Research Report
  • [Journal Article] Weak and strong wave turbulence spectra for elastic thin plate2013

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

      Physical Review Letter

      Volume: 110(10) Issue: 10

    • DOI

      10.1103/physrevlett.110.105501

    • NAID

      120005243433

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 弾性波動乱流のスケール依存性と異種乱流の共存について2013

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

      九州大学応用力学研究所 研究集会報告

      Volume: 24AO-S3 Pages: 1-7

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Navier-Stokes乱流での大スケール揺らぎについて2013

    • Author(s)
      高岡正憲
    • Journal Title

      数理解析研究所講究録「乱流の普遍性と個別性:流体乱流を通して宇宙を見る」

      Volume: 1822 Pages: 1-6

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 乱流エネルギー散逸率の規格化について2013

    • Author(s)
      毛利英明
    • Journal Title

      数理解析研究所講究録「乱流の普遍性と個別性:流体乱流を通して宇宙を見る」

      Volume: 1822 Pages: 18-23

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Dual-camera system for high-speed imaging in particle image velocimetry,2012

    • Author(s)
      K.Hashimoto, A.Hori, T. Hara, S. Onogi, H.Mouri
    • Journal Title

      Journal of Visualization

      Volume: vo. 15, Pages: 193-195

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dual-camera system for high-speed imaging in particle image velocimetry2012

    • Author(s)
      K. Hashimoto, A. Hori, T. Hara, S. Onogi, H. Mouri
    • Journal Title

      Journal of Visualization

      Volume: 15 Issue: 3 Pages: 193-195

    • DOI

      10.1007/s12650-012-0127-0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large-scale length that determines the mean rate of energy dissipation in turbulence2012

    • Author(s)
      H. Mouri, A. Hori, Y. Kawashima, K. Hashimoto
    • Journal Title

      Physical Review E

      Volume: 86 Issue: 2

    • DOI

      10.1103/physreve.86.026309

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large-scale velocity fluctuations of turbulence2011

    • Author(s)
      H.Mouri
    • Journal Title

      Journal of Physics: Conference Series

      Volume: vol. 318

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Statistical mechanics and large-scale velocity fluctuations of turbulence2011

    • Author(s)
      H.Mouri, A.Hori, Y.Kawashima, K.Hashimoto
    • Journal Title

      Physics of Fluids.

      Volume: vol. 23 Issue: 12

    • DOI

      10.1063/1.3667268

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ornstein-Uhlenbeck過程での大スケール揺らぎの統計則についてII2011

    • Author(s)
      高岡正憲, 松本剛
    • Journal Title

      数理解析研究所講究録

      Volume: 1771巻 Pages: 1-9

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1771-01.pdf

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Journal Article] Large-scale velocity fluctuations of turbulence2011

    • Author(s)
      H.Mouri
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 318 Issue: 4 Pages: 42007-42007

    • DOI

      10.1088/1742-6596/318/4/042007

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ornstein-Uhlenbeck過程での大スケール揺らぎの統計則について2010

    • Author(s)
      松本剛, 高岡正憲
    • Journal Title

      数理解析研究所講究録http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1721-03.pdf

      Volume: 1721巻 Pages: 19-27

    • Related Report
      2012 Final Research Report
  • [Journal Article] Two-point velocity average of turbulence: Statistics and their implications2010

    • Author(s)
      H.Mouri, A.Hori
    • Journal Title

      Physics of Fluids

      Volume: vol. 22

    • Related Report
      2012 Final Research Report
  • [Journal Article] Two-point velocity average of turbulence : Statistics and their implications2010

    • Author(s)
      Hideaki MOURI, Akihiro HORI
    • Journal Title

      Physics of Fluids

      Volume: 22

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ornstein-Uhlenbeck過程での大スケール揺らぎの統計則について2010

    • Author(s)
      松本剛, 高岡正憲
    • Journal Title

      数理解析研究所講究録

      Volume: 1721 Pages: 19-27

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Large-scale length that determines the mean rate of energy dissipation in turbulence

    • Author(s)
      H.Mouri, A.Hori, Y.Kawashima, K.Hashimoto
    • Journal Title

      Physical Review E

      Volume: vol. 86

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 乱流2点測度和の統計的特徴

    • Author(s)
      毛利英明
    • Journal Title

      数理解析研究所講究録

      Volume: 1721巻 Pages: 12-8

    • Related Report
      2012 Final Research Report
  • [Presentation] Large-scale lognormality in turbulence modeled by the Ornstein-Uhlenbeck process2013

    • Author(s)
      T.Matsumoto
    • Organizer
      International center for theoretical sciences, TATA institute for fundamental research
    • Place of Presentation
      Bangalore, India
    • Year and Date
      2013-02-07
    • Related Report
      2012 Final Research Report
  • [Presentation] 弾性薄板での強弱乱流のスケール依存性と臨界波数2012

    • Author(s)
      横山直人, 高岡正憲
    • Organizer
      九州大学応用力学研究所研究集会「非線形波動研究の最前線―構造と現象の多様性―」
    • Place of Presentation
      九州大学筑紫
    • Year and Date
      2012-11-01
    • Related Report
      2012 Final Research Report
  • [Presentation] 弾性波動乱流のスケール依存性と異種乱流の共存について2012

    • Author(s)
      横山直人, 高岡正憲
    • Organizer
      九州大学応用力学研究所研究集会「非線形波動研究の最前線―構造と現象の多様性―」
    • Place of Presentation
      九州大学筑紫キャンパス応用力学研究所, 福岡県
    • Year and Date
      2012-11-01
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流の空間大スケール揺らぎについて2012

    • Author(s)
      高岡正憲
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学常盤台キャンパス, 神奈川県
    • Year and Date
      2012-09-19
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流エネルギー散逸率の規格化について2012

    • Author(s)
      毛利英明, 堀晃浩, 川島儀英, 橋本孔佑
    • Organizer
      日本流体力学会 年会2012
    • Place of Presentation
      高知大学, 高知県
    • Year and Date
      2012-09-17
    • Related Report
      2012 Final Research Report
  • [Presentation] Normalization of the mean rate of energy dissipation in turbulence2012

    • Author(s)
      H.Mouri, A.Hori, Y.Kawashima, K.Hashimoto
    • Organizer
      23rd International Congress of Theoretical and Applied Mechanics
    • Place of Presentation
      国家会議中心, 北京, 中国
    • Year and Date
      2012-08-23
    • Related Report
      2012 Final Research Report
  • [Presentation] Navier-Stokes乱流での大スケール揺らぎの統計法則2012

    • Author(s)
      高岡正憲
    • Organizer
      2012年日本物理学会年次大会
    • Place of Presentation
      関西学院大学,兵庫県
    • Year and Date
      2012-03-27
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流エネルギー散逸率の規格化について2012

    • Author(s)
      毛利英明
    • Organizer
      2012年日本物理学会年次大会
    • Place of Presentation
      関西学院大学, 兵庫県
    • Year and Date
      2012-03-27
    • Related Report
      2012 Final Research Report
  • [Presentation] Navier-Stokes乱流での大スケール揺らぎの統計法則2012

    • Author(s)
      高岡正憲
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      関西学院大学(西宮市)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] 乱流エネルギー散逸率の規格化について2012

    • Author(s)
      毛利英明
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      関西学院大学(西宮市)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Navier-Stokes乱流での大スケール揺らぎ2012

    • Author(s)
      高岡正憲
    • Organizer
      第61回 理論応用力学講演会
    • Place of Presentation
      東京大学生産技術研究所,東京都
    • Year and Date
      2012-03-09
    • Related Report
      2012 Final Research Report
  • [Presentation] Navier-Stokes乱流での大スケール揺らぎ2012

    • Author(s)
      高岡正憲
    • Organizer
      理論応用力学講演会
    • Place of Presentation
      東京大学生産技術研究所(目黒区)
    • Year and Date
      2012-03-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] 乱流エネルギー散逸率の規格化について2012

    • Author(s)
      毛利英明
    • Organizer
      研究会「乱流の普遍性と個別性」
    • Place of Presentation
      大学数理解析研究所,京都府
    • Year and Date
      2012-01-13
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流エネルギー散逸率の規格化について2012

    • Author(s)
      毛利英明
    • Organizer
      研究会「乱流の普遍性と個別性:流体乱流を通して宇宙を見る」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2012-01-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] Navier-Stokes乱流での大スケール揺らぎについて2012

    • Author(s)
      高岡正憲
    • Organizer
      研究会「乱流の普遍性と個別性:流体乱流を通して宇宙を見る」
    • Place of Presentation
      京都大学数理解析研究所,京都府
    • Year and Date
      2012-01-11
    • Related Report
      2012 Final Research Report
  • [Presentation] Navier-Stokes乱流での大スケール揺らぎについて2012

    • Author(s)
      高岡正憲
    • Organizer
      研究会「乱流の普遍性と個別性:流体乱流を通して宇宙を見る」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2012-01-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] 乱流の大規模スケール揺らぎの対数正規性に関するモデル2011

    • Author(s)
      松本剛, 高岡正憲
    • Organizer
      九大応用力学研究所 共同利用研究集会 「乱流現象及び非平衡系の多様性と普遍性」
    • Place of Presentation
      九大応用力学研究所, 福岡県
    • Year and Date
      2011-11-10
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流の大規模スケール揺らぎの対数正規性に関するモデル2011

    • Author(s)
      松本剛
    • Organizer
      九大応用力学研究所共同利用研究集会乱流現象及び非平衡系の多様性と普遍性
    • Place of Presentation
      九大応用力学研究所(福岡市)
    • Year and Date
      2011-11-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Large-scale velocity fluctuations of turbulence2011

    • Author(s)
      H.Mouri
    • Organizer
      13th European Turbulence Conference
    • Place of Presentation
      Warsaw University, Warsaw, Poland
    • Year and Date
      2011-09-14
    • Related Report
      2012 Final Research Report
  • [Presentation] Large-scale velocity fluctuations of turbulence2011

    • Author(s)
      H.Mouri
    • Organizer
      13^<th> European Turbulence Conference
    • Place of Presentation
      ワルシャワ大学(ポーランド国ワルシャワ市)
    • Year and Date
      2011-09-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] 乱流速度場における大スケール変動の統計熱力学形式による記述2011

    • Author(s)
      毛利英明
    • Organizer
      研究会「乱流研究 次の10年:乱流の動的構造の理解へ向けて」
    • Place of Presentation
      京都大学数理解析研究所, 京都府
    • Year and Date
      2011-01-14
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流速度場における大スケール変動の統計熱力学形式による記述2011

    • Author(s)
      毛利英明
    • Organizer
      研究会「乱流研究 次の10年:乱流の動的構造の理解へ向けて」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2011-01-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Ornstein-Uhlenbeck過程での大スケール揺らぎの統計則についてII2011

    • Author(s)
      高岡正憲
    • Organizer
      研究会「乱流研究 次の10年:乱流の動的構造の理解へ向けて」
    • Place of Presentation
      京都大学数理解析研究所, 京都府
    • Year and Date
      2011-01-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Ornstein-Uhlenbeck過程での大スケール揺らぎの統計則についてII2011

    • Author(s)
      高岡正憲
    • Organizer
      研究会「乱流研究 次の10年:乱流の動的構造の理解へ向けて」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2011-01-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] 乱流速度場における大スケール変動の統計則2010

    • Author(s)
      毛利英明
    • Organizer
      2010年秋季物理学会
    • Place of Presentation
      大阪府立大学, 大阪府
    • Year and Date
      2010-09-25
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流速度場における大スケール変動の統計則2010

    • Author(s)
      毛利英明
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      大阪府立大学(大阪府)
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 弾性薄板での強弱乱流のスケール依存性と臨界波数

    • Author(s)
      横山直人、高岡正憲
    • Organizer
      第62回理論応用力学講演会
    • Place of Presentation
      東京工業大学大岡山キャンパス、東京都
    • Related Report
      2012 Annual Research Report
  • [Presentation] Large-scale lognormality in turbulence modeled by the Ornstein-Uhlenbeck process

    • Author(s)
      T. Matsumoto
    • Organizer
      ICTS talk
    • Place of Presentation
      TATA institute for fundamental research, Bangalore, India
    • Related Report
      2012 Annual Research Report
  • [Presentation] 弾性波動乱流のスケール依存性と異種乱流の共存について

    • Author(s)
      横山直人、高岡正憲
    • Organizer
      九州大学応用力学研究所研究集会「非線形波動研究の最前線 ー構造と現象の多様性ー」
    • Place of Presentation
      九州大学筑紫キャンパス応用力学研究所、福岡県
    • Related Report
      2012 Annual Research Report
  • [Presentation] 乱流の空間大スケール揺らぎについて

    • Author(s)
      高岡正憲
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学常盤台キャンパス、神奈川県
    • Related Report
      2012 Annual Research Report
  • [Presentation] 乱流エネルギー散逸率の規格化について

    • Author(s)
      毛利英明, 堀晃浩, 川島儀英, 橋本孔佑
    • Organizer
      日本流体力学会 年会2012
    • Place of Presentation
      高知大学、高知県
    • Related Report
      2012 Annual Research Report
  • [Presentation] Normalization of the mean rate of energy dissipation in turbulence

    • Author(s)
      H. Mouri, A. Hori, Y. Kawashima, K. Hashimoto
    • Organizer
      23rd International Congress of Theoretical and Applied Mechanics
    • Place of Presentation
      国家会議中心、北京
    • Related Report
      2012 Annual Research Report

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

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