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Analysis and modeling of hybrid turbulence equation based on temporal filtering

Research Project

Project/Area Number 22560156
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionThe University of Tokyo

Principal Investigator

HAMBA Fujihiro  東京大学, 生産技術研究所, 教授 (20251473)

Co-Investigator(Renkei-kenkyūsha) YOKOI Nobumitsu  東京大学, 生産技術研究所, 助教 (50272513)
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: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords乱流モデル / RANS / LES / ハイブリッドモデル
Research Abstract

Analysis of the velocity equation in turbulent channel flow was made using spatial filtering. It was shown that the extra term due to the non-commutivity plays an important role in the stress fluctuation and the turbulent energy budget near the interface between the RANS and LES regions. A new length scale was introduced using the time integral to derive theoretically the transport equations for the eddy diffusivity and the eddy viscosity. The Reynolds stress, the eddy viscosity, and the new length scale were shown to be closely related to each other via the production term of each transport equation.

Report

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

    (35 results)

All 2013 2012 2011 2010 Other

All Journal Article (11 results) (of which Peer Reviewed: 6 results) Presentation (24 results)

  • [Journal Article] Exact transport equation for eddy diffusivity in turbulent shear flow2013

    • Author(s)
      F.Hamba,
    • Journal Title

      Theoretical and Computational Fluid

      Volume: Vol.27

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 乱流の渦粘性率の輸送方程式2013

    • Author(s)
      半場藤弘
    • Journal Title

      生産研究

      Volume: Vol.65 Pages: 43-46

    • NAID

      130003368430

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Exact transport equation for eddy diffusivity in turbulent shear flow2013

    • Author(s)
      F.Hamba
    • Journal Title

      Theoretical and Computational Fluid Dynamics

      Volume: Vo.27 Issue: 5 Pages: 651-664

    • DOI

      10.1007/s00162-012-0271-0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Filtering for the inverse problem of convection-diffusion equation with a point source2012

    • Author(s)
      F.Hamba, S.Abe, D.Kitazawa, S.Kato
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol.81 Pages: 114401-114401

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Filtering for the inverse problem of convection-diffusion equation with a point source2012

    • Author(s)
      F.Hamba,S.Abe,D.Kitazawa,S.Kato
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol.81 Issue: 11 Pages: 114401-114401

    • DOI

      10.1143/jpsj.81.114401

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 乱流の渦拡散率の輸送方程式2012

    • Author(s)
      半場藤弘
    • Journal Title

      生産研究

      Volume: Vol.64 Pages: 9-12

    • NAID

      130002100872

    • Related Report
      2011 Annual Research Report
  • [Journal Article] 乱流における非一様効果の理論的解法2012

    • Author(s)
      有木健人, 半場藤弘
    • Journal Title

      生産研究

      Volume: Vol.64 Pages: 27-30

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Analysis of filtered Navier-Stokes equation for hybrid RANS/LES simulation2011

    • Author(s)
      F.Hamba
    • Journal Title

      Physics of Fluids

      Volume: Vol.23 Pages: 15108-15108

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of filtered Kavier-Stokes equation for hybrid RANS/LES simulation2011

    • Author(s)
      F.Hamba
    • Journal Title

      Physics of Fluids

      Volume: Vol.23 Pages: 0151081-13

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 点源放出の1次元拡散方程式の逆問題2011

    • Author(s)
      半場藤弘, 安部諭, 北澤大輔, 加藤信介
    • Journal Title

      生産研究

      Volume: Vol.63 Pages: 65-69

    • NAID

      130000670881

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 平均的Lagrange座標を用いた共変的な非一様乱流統計理論2011

    • Author(s)
      有本健人, 半場藤弘
    • Journal Title

      生産研究

      Volume: Vol.63 Pages: 83-90

    • NAID

      130000670884

    • Related Report
      2010 Annual Research Report
  • [Presentation] 乱流の渦粘性率の局所近似と輸2013

    • Author(s)
      半場藤弘
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学(広島県)
    • Year and Date
      2013-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Transport equation for eddy viscosity in turbulence2012

    • Author(s)
      F.Hamba
    • Organizer
      International Computational Mechanics Symposium 2012
    • Place of Presentation
      神戸大学(兵庫県)
    • Year and Date
      2012-10-10
    • Related Report
      2012 Final Research Report
  • [Presentation] 乱流の渦拡散率に伴う長さスケールの輸送方程式2012

    • Author(s)
      半場藤弘
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学(兵庫県)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] 乱流の渦拡散率と長さスケールの輸送方程式2011

    • Author(s)
      半場藤弘
    • Organizer
      第25回数値流体力学シンポジウム
    • Place of Presentation
      大阪大学(大阪府)
    • Year and Date
      2011-12-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] 乱流の渦拡散率の輸送方程式2011

    • Author(s)
      半場藤弘
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学(富山県)
    • Year and Date
      2011-09-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] A statistical theory for inhomogeneous turbulent flow formulated in the mean-Lagrangian coordinates2011

    • Author(s)
      T.Ariki, F.Hamba
    • Organizer
      13th European Turbulence Conference
    • Place of Presentation
      Warsaw, Poland
    • Year and Date
      2011-09-13
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] チャネル乱流における渦拡散率 輸送方程式の解析2011

    • Author(s)
      半場藤弘
    • Organizer
      日本流体力学会年会 2011
    • Place of Presentation
      首都大学東京(東京都)
    • Year and Date
      2011-09-08
    • Related Report
      2012 Final Research Report
  • [Presentation] チャネル乱流における渦拡散率輸送方程式の解析2011

    • Author(s)
      半場藤弘
    • Organizer
      日本流体力学会年会2011
    • Place of Presentation
      首都大学東京(東京都)
    • Year and Date
      2011-09-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Incorporation of helicity effects in sub-grid scale models, NORDITA Program on Dynamo2011

    • Author(s)
      N.Yokoi
    • Organizer
      Dynamical Systems and Topology
    • Place of Presentation
      Stockholm, Sweden
    • Year and Date
      2011-08-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Incorporation of helicity effects in sub-grid scale models2011

    • Author(s)
      N.Yokoi
    • Organizer
      NORDITA Program on Dynamo, Dynamical Systems and Topology
    • Place of Presentation
      Stockholm, Sweden
    • Year and Date
      2011-08-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] Energy transfer of hybrid-filtered velocity field in turbulent channel flow2011

    • Author(s)
      F.Hamba
    • Organizer
      Seventh International Symposium on Turbulence and Shear Flow Phenomena
    • Place of Presentation
      Ottawa, Canada
    • Year and Date
      2011-07-31
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] 平均的Lagrange座標を用いた共変的な非一様乱流統計理論2011

    • Author(s)
      有木健人, 半場藤弘
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学(新潟県)
    • Year and Date
      2011-03-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 非一様乱流理論に対する座標変換共変性の要請とモデルの改善2011

    • Author(s)
      有木健人, 半場藤弘
    • Organizer
      第60回理論応用力学講演会
    • Place of Presentation
      東京工業大学(東京都)
    • Year and Date
      2011-03-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] 点源放出の1次元移流拡散方程式の逆問題2011

    • Author(s)
      半場藤弘, 安部諭, 北澤大輔, 加藤信介
    • Organizer
      第60回理論応用力学講演会
    • Place of Presentation
      東京工業大学(東京都)
    • Year and Date
      2011-03-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] RANS/LES ハイブリッドフィルターの速度場のエネルギー輸送2010

    • Author(s)
      半場藤弘
    • Organizer
      第24回数値 流体力学シンポジウム
    • Place of Presentation
      慶應義塾大学(神奈川県)
    • Year and Date
      2010-12-22
    • Related Report
      2012 Final Research Report
  • [Presentation] RANS/LESハイブリッドフィルターの速度場のエネルギー輸送2010

    • Author(s)
      半場藤弘
    • Organizer
      第24回数値流体力学シンポジウム
    • Place of Presentation
      慶應義塾大学(神奈川県)
    • Year and Date
      2010-12-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] 点源放出の1次元拡散方程式の逆問題2010

    • Author(s)
      半場藤弘, 安部諭, 北澤大輔, 加藤信介
    • Organizer
      日本物理学会2010年秋季大会
    • 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] RANS/LES ハイブリッド計算のた めのフィルター化された速度方程式の解析2010

    • Author(s)
      半場藤弘
    • Organizer
      日本流体力学会年会 2010
    • Place of Presentation
      北海道大学(北海道)
    • Year and Date
      2010-09-09
    • Related Report
      2012 Final Research Report
  • [Presentation] RANS/LESハイブリッド計算のためのフィルター化された速度方程式の解析2010

    • Author(s)
      半場藤弘
    • Organizer
      日本流体力学会年会2010
    • Place of Presentation
      北海道大学(北海道)
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Theoretical investigation of the effect caused by the inhomogeneity of turbulent flow

    • Author(s)
      T.Ariki
    • Organizer
      7th International Symposium on Turbulence, Heat and Mass transfer
    • Place of Presentation
      Sicily, Italy
    • Related Report
      2012 Annual Research Report
  • [Presentation] Transport equation for eddy viscosity in turbulence

    • Author(s)
      F.Hamba
    • Organizer
      International Computational Mechanics Symposium 2012
    • Place of Presentation
      神戸大学(兵庫県)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Subgrid-scale model with structural effects implemented through the helicity

    • Author(s)
      N.Yokoi,A.Yoshizawa
    • Organizer
      Frontiers in Computational Physics: Modeling the Earth System
    • Place of Presentation
      Colorado, USA
    • Related Report
      2012 Annual Research Report
  • [Presentation] 乱流の渦粘性率の局所近似と輸送方程式

    • Author(s)
      半場藤弘
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学(広島県)
    • Related Report
      2012 Annual Research Report
  • [Presentation] チャネル乱流におけるエネルギー散逸率輸送方程式

    • Author(s)
      中村優佑,半場藤弘
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学(広島県)
    • Related Report
      2012 Annual Research Report

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

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