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Comparative Study of Turbulent Coherent Structures Educed by Wavelet Transform, Proper Orthogonal Decomposition and Conditional Averaging

Research Project

Project/Area Number 07455078
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

KIYA Masaru  Hokkaido Univ., Fac.of Eng., Prof., 工学部, 教授 (50001160)

Co-Investigator(Kenkyū-buntansha) IDO Yasushi  Hokkaido University, Fac.of Eng., Instructor, 工学部, 助手 (40221775)
MOCHIZUKI Osamu  Hokkaido Univ., Fac.of Eng., Assoc.Prof., 工学部, 助教授 (50157830)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥7,100,000 (Direct Cost: ¥7,100,000)
Fiscal Year 1996: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1995: ¥4,100,000 (Direct Cost: ¥4,100,000)
KeywordsFluid Mechanics / Turbulence / Coherent Structure / Modulation / Wavelet Transform / POD / Mixing Layr / Wake / 後流 / カルマン渦列 / 低周波非定常性 / 乱流構造
Research Abstract

Coherent structures in turbulent shear flows have low-frequency modulations. In this study the coherent structure in a turbulent plane mixing layr and its low-frequency modulation are studied by the proper orthogonal decomposition and the wavelet transform. The low-frequency modulation of the coherent structure is also studied for a turbulent plane wake in a region where the turbulent Karman vortex street prevails. Moreover, the extent to which the two methods are effective in educing the coherent structures are discussed. Main results may be summarized as follows.
[1] The fundamental property of the coherent structure in the mixing layr can be represented by the first eigenfunction of the proper orthogonal decomposition. The first eigenvalue occupies 52% of the total kinetic energy.
[2] The proper orthogonal decomposition fails to extract that coherent nature of the velocity fluctuations in the central part of the mixing layr which is due to coherent structure. On the other hand, the wavelet transform does extract the coherent nature of the velocity fluctuations. This is expected to be always the case for velocity fluctuations whose power spectrum has a significant peak associated with the coherent structures.
[3] The coherent structure in the plane mixing layr experiences a large-scale modulation whose wavelength is approximately six times its wavelength. The modulus of the complex Morlet wavelet transform is found to be effective in obtaining this information.
[4] The vortices in the Karman vortex street in the wake experiences a large-scale modulation whose wavelenth is approximately twenty-five times the wavelength of the vortex street.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 石川仁、木谷勝、望月修: "ウエーブレット変換による乱流後流の解析" 日本機械学会論文集B編. 61. 2409-2417 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kiya,H.Ishikawa,O.Mochizuki: "Wavelet Transform of Turbulent-Wake Velocity Fluctuatuations" Proceedings of the Sixth Asian Congress of Fluid Mechanics. 1408-1411 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 石川仁、木谷勝、小牧靖幸、望月修: "乱流カルマン渦列の低周波数変調" 日本機械学会論文集B編. 62. 2180-2186 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Isikawa,M.Kiya,O.Mochizukiほか2名: "POD and Wavelet Analysis of coherent structures in a Turbulent Mixing Layer" Proceedings of JSME International couference on Fluid Engineering. (印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.KIya and H.Ishikawa: "Cohereut Struetures and Large Low-Frequency Irregularity in Free Turbuleut Shear Flows Fduced by Wavelet and POD" Proceedings of Second Sino-Japan Workshop on Turbulent Flows. (印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 石川仁、木谷勝、望月修、前川博: "PODおよびウエーブレット変換による乱流混合層大規模組織構造の研究" 日本機械学会論文集B編. 63(印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Ishikawa, M.Kiya and O.Mochizuki: "Analysis of a Turbulent Wake by the Wavelet (in Japanese)" Transactions of the JSME. B61-587. 2408-2417 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kiya, H.Ishikawa and O.Mochizuki: "Wavelet Transform of Turbulent-Wake Velocity Fluctuations" Proceedings of the Sixth Asian Congress of Fluid Mechanics. 1408-1411 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Ishikawa, M.Kiya, Y.Komaki and O.Mochizuki: "Low-frequency Modulation of Turbulent Karman Vortex Street (in Japanese)" Transactions of the JSME. B62-589. 2180-2186 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Ishikawa, M,Kiya, O.Mochizuki, J.P.Bonnet and J.Delville: "POD and Wavelet Analysis of Coherent Structures in a Turbulent Plane Mixing Layr" Proceedings of JSME International Conference on Fluid Engineering. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kiya and H.Ishikawa: "Coherent Structures and Large-Scale Low-Frequency Irregularity in Free Turbulent Shear Flows Educed by Wavelet Transform and Proper Orthogonal Decomposition" The recent Developments in Turbulence Research : Proceedings of Second Sino-Japan Workshop on Turbulent Flows. B63 (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Ishikawa, M.Kiya, O.Mochizuki and H.Maekawa: "POD and Wavelet Analyzes of Coherent Structures and Their Low-Frequency Irregularity in Turbulent Mixing Layr (in Japanese)" Transactions of the JSME. B63(in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 石川 仁、木谷 勝、望月 修: "ウエーブレット変換による乱流後流の解析" 日本機械学会論文集(B編). 61・587. 2409-2417 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] M. Kiya, H. Ishikawa and O. Mochizuki: "Wavelct Transform of Turbulent-Wake Velocity Fluctuations" Proceedines of the sixth Asian Congress of Fluid Mechanics. 1408-1411 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 石川 仁、木谷 勝、小牧靖幸、望月 修: "乱流カルマン渦列の低周波数変調" 日本機械学会論文集(B編). 62・598. 2180-2186 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H. Ishikawa, M. Kiya, O. Mochizuki ほか2名: "POD and Wavetet Analysis of Coherent Structures in a Turbulcut Mixing Layer" Proceedings of JSME International Conference on Fluid Engineering. (発表予定). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] M. Kiya and H. Ishikawa: "Coherent Structures and Large Low-Frequency Irregularity in Free Turbulent Shear Flos Educed by Wavelet and POD" Proceedings of Second Sino-Japan Workshop on Turbuleut Flours. (発表予定). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 石川 仁、木谷 勝、望月 修、前川 博: "PODおよびウエーブレット変換による乱流混合層大規模組織構造の研究" 日本機械学会論文集(B編). (発表予定). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Kiya,H.Ishikawa,O.Mochizuki: "Wavelet Transform of Turbulent-Wake Velocity Fluctuations" Proceedings of the Sixth Asian Congress of Fluid Mechanics. 1408-1411 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 石川 仁,木谷 勝,小牧靖幸,望月 修: "ウェーブレット変換を用いた乱流後流の速度変動多重構造の解析" 日本流体力学会誌. 14別冊. 271-274 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 石川 仁,木谷 勝,望月 修: "ウェーブレット変換による乱流後流の解析" 日本機械学会論文集. 61. 2409-2417 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 石川 仁,木谷 勝,小牧靖幸,望月 修,前川 博: "乱流速度変動のウェーブレット解析" 日本機械学会講演論文集. 95-10. 209-210 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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