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Computational study on dynamics of anisotropic turbulence and development of turbulence modeling

Research Project

Project/Area Number 25390149
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Computational science
Research InstitutionNagoya University

Principal Investigator

Yoshimatsu Katsunori  名古屋大学, 未来材料・システム研究所, 准教授 (70377802)

Co-Investigator(Kenkyū-buntansha) OKAMOTO Naoya  名古屋大学, 大学院工学研究科, 助教 (80547414)
Co-Investigator(Renkei-kenkyūsha) ISHIHARA Takashi  名古屋大学, 大学院工学研究科, 准教授 (10262495)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords数理物理 / 乱流 / ウェーブレット / 計算科学 / 流体物理学
Outline of Final Research Achievements

We examined dynamics of three-dimensional (3D) homogeneous turbulence, in particular (1) error growth, (2) influence of small-scale vortices on turbulent statistics at large-scale statistics, and (3)decay of passive scalar turbulence, using direct numerical simulation (DNS). We find the following. (1) The large-scale statistics are not sensitive to the vortex structures and dynamics. (2) The error field exhibits self-similar growth so that its energy increases as k 4 t 6, where k is a wavenumber and t is time. The large-scale properties of the error play significant roles in the growth. (3) The large-scale invariant of a passive scalar is shown as the first DNS evidence. A turbulent model using orthogonal wavelets was developed for 3D turbulent channel flows bounded by two parallel planes. It is found that coherent vorticity, reconstructed from few intense vorticity wavelet coefficients, well preserves the statistical predictability and vortices of the turbulent flows.

Report

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

    (23 results)

All 2015 2014 2013 Other

All Int'l Joint Research (2 results) Journal Article (3 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 3 results,  Acknowledgement Compliant: 2 results) Presentation (18 results) (of which Int'l Joint Research: 2 results,  Invited: 6 results)

  • [Int'l Joint Research] ENS, Paris/Aix-Marseille Universite(France)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Cambridge University(英国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Influence of vortex dynamics and structure on turbulence statistics at large scales2015

    • Author(s)
      K. Yoshimatsu, K. Anayama and Y. Kaneda
    • Journal Title

      Physics of Fluids

      Volume: 27 Issue: 5 Pages: 055106-055106

    • DOI

      10.1063/1.4921210

    • NAID

      120006558979

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Coherent vorticity in turbulent channel flow: a wavelet viewpoint2015

    • Author(s)
      K. Yoshimatsu, T. Sakurai, K. Schneider, M. Farge, K. Morishita, T. Ishihara
    • Journal Title

      Ninth International Symposium on Turbulence and Shear Flow Phenomena

      Volume: --

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Small-scale anisotropic intermittency in magnetohydrodynamic turbulence at low magnetic Reynolds numbers2014

    • Author(s)
      Naoya Okamoto, Katsunori Yoshimatsu, Kai Schneider, and Marie Farge
    • Journal Title

      Phys. Rev. E

      Volume: 89 Issue: 3 Pages: 1-10

    • DOI

      10.1103/physreve.89.033013

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Isotropic boundary adapted wavelets for coherent vorticity extraction in turbulent channel flows2015

    • Author(s)
      M. Farge, T. Sakurai, K. Yoshimatsu, K. Schneider, K. Morishita,T. Ishihara
    • Organizer
      68th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      Boston, Massachusetts, USA
    • Year and Date
      2015-11-22
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Coherent vorticity in turbulent channel flow: a wavelet viewpoint2015

    • Author(s)
      K. Yoshimatsu, T. Sakurai, K. Schneider, M. Farge, K. Morishita, T. Ishihara
    • Organizer
      Ninth International Symposium on Turbulence and Shear Flow Phenomena
    • Place of Presentation
      The University of Melbourne, Australia
    • Year and Date
      2015-06-30
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Influence of vortex dynamics and structure on turbulence statistics at large scales with or without combustion2015

    • Author(s)
      K. Yoshimatsu
    • Organizer
      2015 International Workshop on Computational Science and Engineering
    • Place of Presentation
      Nagoya University, Japan
    • Year and Date
      2015-05-23
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Influence of vortex structure and dynamics on turbulence statistics at large scales2014

    • Author(s)
      K. Yoshimatsu, K. Anayama, and Y. Kaneda
    • Organizer
      Workshop on New Perspectives in Quantum Turbulence: experimental visualization and numerical simulation
    • Place of Presentation
      Nagoya University, Nagoya
    • Year and Date
      2014-12-11 – 2014-12-12
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Volume Penalization法による3次元熱対流の数値計算2014

    • Author(s)
      澤村陽一、芳松克則、Kai Schneider
    • Organizer
      第28回数値流体力学シンポジウム
    • Place of Presentation
      タワーホール船堀、東京
    • Year and Date
      2014-12-09 – 2014-12-11
    • Related Report
      2014 Research-status Report
  • [Presentation] Influence of vortices on turbulence statistics2014

    • Author(s)
      K. Anayama, K. Yoshimatsu, Y. Kaneda
    • Organizer
      67th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      San Francisco, USA
    • Year and Date
      2014-11-23 – 2014-11-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Coherent vorticity extraction in turbulent channel flow using anisotropic wavelets2014

    • Author(s)
      K. Yoshimatsu, T. Sakurai, K. Schneider, M. Farge, K. Morishita, T. Ishihara
    • Organizer
      67th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      San Francisco, USA
    • Year and Date
      2014-11-23 – 2014-11-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Influence of vortex structure and dynamics on turbulence statistics at large scales2014

    • Author(s)
      K. Yoshimatsu, K. Anayama and Y. Kaneda
    • Organizer
      Seminaire M2P2, Aix-Marseille Universite
    • Place of Presentation
      Marseille, France
    • Year and Date
      2014-10-23
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Coherent vorticity extraction in turbulent channel flow using orthogonal wavelets2014

    • Author(s)
      T. Sakurai, K. Yoshimatsu, K. Schneider, M. Farge, K. Morishita, and T. Ishihara
    • Organizer
      European Fluid Mechanics Conference 10
    • Place of Presentation
      Copenhagen, Denmark
    • Year and Date
      2014-09-14 – 2014-09-18
    • Related Report
      2014 Research-status Report
  • [Presentation] 乱流における小スケールの渦構造の大スケールの統計への影響2014

    • Author(s)
      芳松克則、穴山晃士郎、金田行雄
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学(春日井キャンパス)
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Influence of vortex structure/dynamics on turbulence statistics - Is it so significant?2014

    • Author(s)
      K. Yoshimatsu, K. Anayama and Y. Kaneda
    • Organizer
      Waves and Turbulence in Rotating, Stratified and Electrically Conducting Fluids
    • Place of Presentation
      University of Cambridge, UK
    • Year and Date
      2014-07-14 – 2014-07-25
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 結合コンパクト差分法を用いた3次元熱対流乱流の直接数値計算2013

    • Author(s)
      久富夏規、芳松克則、石井克哉
    • 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
      2013 Research-status Report
  • [Presentation] Directional multi-scale statistics of quasi-static magnetohydrodynamic turbulence2013

    • Author(s)
      N. Okamoto, K. Yoshimatsu, K. Schneider, and M. Farge
    • Organizer
      55th Annual Meeting of the APS Division of Plasma Physics
    • Place of Presentation
      Denver, Colorado, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] 3次元等方乱流の予測可能性2013

    • Author(s)
      芳松克則
    • Organizer
      日本流体力学会 年会2013
    • Place of Presentation
      東京農工大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 一様等方性乱流における小スケールの渦構造の大スケールの統計への影響2013

    • Author(s)
      穴山晃士郎, 芳松克則, 金田行雄
    • Organizer
      日本流体力学会 年会2013
    • Place of Presentation
      東京農工大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Predictability of three-dimensional homogeneous turbulence2013

    • Author(s)
      K. Yoshimatsu
    • Organizer
      Turbulence Colloquium Mediterranea
    • Place of Presentation
      Sidi Bou Said, Tunisia
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Directional multi-scale statistics of quasi-statis magnetohydrodynamic turbulence2013

    • Author(s)
      N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge
    • Organizer
      Turbulence Colloquium Mediterranea
    • Place of Presentation
      Sidi Bou Said, Tunisia
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] On the four-fifths law in magnetohydrodynamic turbulence2013

    • Author(s)
      K. Yoshimatsu
    • Organizer
      Eurpean Turbulence Conference 14
    • Place of Presentation
      Lyon, France
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2022-02-07  

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