Application of wavelet analysis to turbulence : Development of turbulent modeling and its validation

• Project/Area Number: 20760055
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Engineering fundamentals
• Research Institution: Nagoya University
• Principal Investigator: KATSUNORI Yoshimatsu Nagoya University, 大学院・工学研究科, 助教 (70377802)
• Project Period (FY): 2008 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000); Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000); Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
• Keywords: 計算科学 / 流体物理学 / 乱流 / ウェーブレット / 情報縮約

Research Abstract

A wavelet based non-empirical turbulent modeling for three-dimensional incompressible turbulence at high Reynolds number, called CVE, has been developed. Its validity was also assessed. It was shown that CVE reduces the number of degrees of freedom by a factor 10 with respect to direct numerical simulation, while preserving high-order statistics of the turbulent flow. CVE was generalized to modeling for magnetohydrodynamic turbulence and wall-bounded turbulence.

Research Products

• [Journal Article] Coherent vortex extraction from three-dimensional homogeneous isotropic turbulence: Comparison of wavelet and Fourier nonlinear filtering methods (2010)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, M. Farge
  • Journal Title: Theoretical and Applied Mechanics Japan Vol.58 Pages: 227-233
  • NAID: 130004463740
  • Peer Reviewed
• [Journal Article] Coherent Vortex Extraction from Three-Dimensional Homogeneous Isotro pie Turbulence : Comparison of Wavelet and Fourier Nonlinear Filtering Method (2010)
  • Author(s): K.Yoshimatsu, N.Okamoto, M.Farge, K.Schneider
  • Journal Title: Theoretical and Applied Mechanics Japan 58 Pages: 227-233
  • Peer Reviewed
• [Journal Article] Wavelet-Based Coherent Vorticity Sheet and Current Sheet Extraction from Three-Dimensional Homogeneous Magnetohydrodynamic Turbulence (2009)
  • Author(s): K. Yoshimatsu, Y. Kondo, K. Schneider, N. Okamoto, H. Hagiwara, M. Farge
  • Journal Title: Physics of Plasmas Vol.16
  • Peer Reviewed
• [Journal Article] Intermittency and Scale-Dependent Statistics in Fully Developed Turbulence (2009)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, Y. Kaneda, M. Farge
  • Journal Title: Physical Review E Vol.79
  • Peer Reviewed
• [Journal Article] Intermittency in high resolution direct numerical simulation of turbulence in a periodic box: a wavelet viewpoint (2009)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, Y. Kaneda, M. Farge
  • Journal Title: Advances in Turbulence XII Proceedings of the 12th Euromech European Turbulence Conference Pages: 945-945
  • Peer Reviewed
• [Journal Article] Coherent vortex simulation: application to 3D homogeneous isotropic turbulence (2009)
  • Author(s): N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge, Y. Kaneda
  • Journal Title: Advances in Turbulence XII Proceedings of the 12th Euromech European Turbulence Conference Pages: 759-762
  • Peer Reviewed
• [Journal Article] Wavelet-based coherent vorticity sheet and current sheet extraction from three-dimensional homogeneous magnetohydrodynamic turbulence (2009)
  • Author(s): K.Yoshimatsu, Y.Kondo, K.Schneider, N.Okamoto, H.Hagiwara, M.Farge
  • Journal Title: Physics of Plasmas 16
  • Peer Reviewed
• [Journal Article] Coherent vortex simulation : application to 3D homogeneous isotropic turbulence (2009)
  • Author(s): N.Okamoto, K.Yoshimatsu, K.Schneider, M.Farge, Y.Kaneda
  • Journal Title: Advances in Turbulence XII, Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany, Springer Pages: 759-762
• [Journal Article] Intermittency in high resolution direct numerical simulation of turbulence in a periodic box : a wavelet viewpoint (2009)
  • Author(s): K.Yoshimatsu, N.Okamoto, K.Schneider, Y.Kaneda, M.Farge
  • Journal Title: Advances in Turbulence XII, Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany, Springer Pages: 945-945
• [Journal Article] Intermittency and scale-dependent statistics in fully developed turbulence (2009)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, et.al.
  • Journal Title: Physical Review E 79
  • Peer Reviewed
• [Journal Article] Wavelet-Based Statistics of Energy Transfer in High Resolution Direct Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence (2008)
  • Author(s): K. Yoshimatsu, N. Okamoto
  • Journal Title: Journal of Turbulence Vol.9No.45 Pages: 1-25
  • Peer Reviewed
• [Journal Article] Coherent Vortices Formation in Homogeneous Rotating Turbulence: Asymmetry between Cyclonic and Anticyclonic Vortices (2008)
  • Author(s): K. Yoshimatsu, M. Midorikawa, Y. Kaneda
  • Journal Title: Proceedings of International Symposium on Frontiers of Computational Science 2008 (CD-ROM) Pages: 83-90
  • Peer Reviewed
• [Journal Article] Energy Transfer in High Reynolds Number Three-Dimensional Homogeneous Isotropic Turbulence: A Wavelet Viewpoint (2008)
  • Author(s): Okamoto, K. Yoshimatsu
  • Journal Title: Proceedings of International Symposium on Frontiers of Computational Science 2008 (CD-ROM) Pages: 173-180
  • Peer Reviewed
• [Journal Article] Wavelet-based statistics of energy transfer in high resolution direct numerical simulation of three-dimensional homogeneous isotropic turbulence (2008)
  • Author(s): K. Yoshimatsu and N. Okamoto
  • Journal Title: Journal of Turbulence 9, No.45 Pages: 1-25
  • Peer Reviewed
• [Journal Article] Energy transfer in high Reynolds number three-dimensional homogeneous isotropic turbulence : A wavelet viewpoint (2008)
  • Author(s): N. Okamoto and K. Yoshimatsu
  • Journal Title: Proceedings of International Symposium on Frontiers of Computational Science 2008, Kaneda, Sasai Tachibana (Eds), CD-ROM Pages: 173-180
  • Peer Reviewed
• [Journal Article] Coherent vortices formation in homogeneous rotating turbulence : asymmetry between cyclonic and anticyclonic vortices (2008)
  • Author(s): K. Yoshimatsu, M. Midorikawa and Y. Kaneda
  • Journal Title: Proceedings of International Symposium on Frontiers of Computational Science 2008, Kaneda, Sasai, Tachibana (Eds), CD-ROM Pages: 83-90
  • Peer Reviewed
• [Presentation] 3次元電磁流体乱流における3次構造関数 (2010)
  • Author(s): 芳松克則、近藤祐史
  • Organizer: 日本物理学会第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-21
• [Presentation] Coherent vortex simulation of 3D homogeneous isotropic turbulence (2009)
  • Author(s): N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge, Y. Kaneda
  • Organizer: 62nd Annual Meeting of the APS Division of Fluid Dynamics, Minneapolis, Minnesota
  • Place of Presentation: Minneapolis, Minnesota, USA
  • Year and Date: 2009-11-24
• [Presentation] Coherent vortex simulation of 3D homogeneous isotropic turbulence (2009)
  • Author(s): N.Okamoto, K.Yoshimatsu, K.Schneider, M.Farge, Y.Kaneda
  • Organizer: 62nd Annual Meeting of the APS Division of Fluid Dynamics, Sunday-Tuesday, November 22-24, 2009 ; Minneapolis, Minnesota
  • Place of Presentation: Minneapolis, Minnesota, USA
  • Year and Date: 2009-11-24
• [Presentation] Columnar Structure Formation in Freely-decaying Homogeneous Rotating Turbulence (2009)
  • Author(s): Y.Kaneda, K.Yoshimatsu, M.Midorikawa
  • Organizer: Russia-Japan Joint Symposium on Numerical Exp eriment in Hydrodynamical Instability and Turbul ence with High-Performance Computing, Moscow, November 11-13, 2009
  • Place of Presentation: Moscow, Russia
  • Year and Date: 2009-11-13
• [Presentation] Formation of columnar structure in rotating turbulence (2009)
  • Author(s): Y.Kaneda, K.Yoshimatsu, M.Midorikawa
  • Organizer: Genevieve Comte-Bellot, Fifty Years of Research on Turbulence and Acoustics, Ecole Centrale de Lyon, Thursday 29th & Friday 30th October 2009, 2009/10/29-30 (10/30)
  • Place of Presentation: Lyon, Paris
  • Year and Date: 2009-10-30
• [Presentation] Wavelet-based coherent vorticity sheet and current sheet extraction from 3D homogeneous MHD turbulence (2009)
  • Author(s): K. Yoshimatsu, Y. Kondo, K. Schneider, N. Okamoto, H. Hagiwara, M. Farge
  • Organizer: International Workshop on Physical and Mathematical Challenges in light of ITER
  • Place of Presentation: Marseille, France.
  • Year and Date: 2009-10-27
• [Presentation] Wavelet-based coherent vorticity sheet and current sheet extraction fro m 3D homogeneous MHD turbulence (2009)
  • Author(s): K.Yoshimatsu, Y.Kondo, K.Sehneider, N.Okamoto, H.Hagiwara, M.Farge
  • Organizer: International Workshop on Physical and Mathema tical Challenges in light of ITER, 26th-30th, October, 2009
  • Place of Presentation: Marseille, France
  • Year and Date: 2009-10-27
• [Presentation] ウェーブレットによる3次元一様電磁流体乱流からの秩序構造の抽出 (2009)
  • Author(s): 近藤祐史、芳松克則、岡本直也
  • Organizer: 第7回日本流体力学会中部支部講演会
  • Place of Presentation: 名古屋大学
  • Year and Date: 2009-10-16
• [Presentation] Coherent vortex simulation: application to 3D homogeneous isotropic turbulence (2009)
  • Author(s): N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge, Y. Kaneda
  • Organizer: the 12th EUROMECH European Turbulence Conference
  • Place of Presentation: Marburg, Germany
  • Year and Date: 2009-09-08
• [Presentation] Intermittency in high resolution direct numerical simulation of turbulence in a periodic box: a wavelet viewpoint (2009)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, Y. Kaneda, M. Farge
  • Organizer: the 12th EUROMECH European Turbulence Conference
  • Place of Presentation: Marburg, Germany
  • Year and Date: 2009-09-08
• [Presentation] Coherent vortex simulation : application to 3D homogeneous isotropic turbulence (2009)
  • Author(s): N.Okamoto, K.Yoshimatsu, K.Schneider, M.Farge, Y.Kaneda
  • Organizer: the 12th EUROMECH European Turbulence Conf erence, September 7-10, 2009, Marburg, Germany
  • Place of Presentation: Marburg, Germany
  • Year and Date: 2009-09-08
• [Presentation] Intermittency in high resolution direct numerical simulation of turbulence in a periodic box : a wavelet viewpoint (2009)
  • Author(s): K.Yoshimatsu, N.Okamoto, K.Schneider, Y.Kaneda, M.Farge
  • Organizer: the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany
  • Place of Presentation: Marburg, Germany
  • Year and Date: 2009-09-08
• [Presentation] 三次元一様等方性乱流からの秩序渦構造の抽出-ウェーブレット及びフーリエ非線形フィルタリング手法の比較- (2009)
  • Author(s): 芳松克則、岡本直也、Marie Farge, Kai Schneider
  • Organizer: 第58回理論応用力学講演会
  • Place of Presentation: 日本学術会議, 東京都港区.
  • Year and Date: 2009-06-10
• [Presentation] 三次元一様等方性乱流からの秩序渦構造の抽出-ウェーブレット及びフーリエ非線形フィルタリング手法の比較- (2009)
  • Author(s): 芳松克則、岡本直也、Marie Farge, Kai Schneider
  • Organizer: 第58回理論応用力学講演会
  • Place of Presentation: 日本学術会議,東京
  • Year and Date: 2009-06-10
• [Presentation] Wavelet-based statistics of energy transfer in high resolution direct numerical simulation of three-dimensional homogeneous isotropic turbulence (2009)
  • Author(s): 岡本直也、芳松克則
  • Organizer: 乱流の統計理論とその応用
  • Place of Presentation: 統計数理研究所, 東京都港区
• [Presentation] Wavelet-based statistics of energy transfer in high resolution direct numerical simulation of three-dimensional homogeneous isotropic turbulence (2009)
  • Author(s): 岡本直也、芳松克則
  • Organizer: 乱流の統計理論とその応用
  • Place of Presentation: 統計数理研究所
• [Presentation] Columnar vortices formation in freely-decaying homogeneous rotating turbulence (2008)
  • Author(s): K. Yoshimatsu
  • Organizer: Seminaire M2P2 n-120, Modeles et Calculs pour la Mecanique des Fluids
  • Place of Presentation: Universite de Provence, Marseille, France
  • Year and Date: 2008-09-11
• [Presentation] Columnar vortices formation in freely-decaying homogeneous rotating turbulence (2008)
  • Author(s): K. Yoshimatsu
  • Organizer: Seminaire M 2 P 2 n-120, Modeles et Calculs pour 1 a Mecanique des Fluids
  • Place of Presentation: Universite de Provence, Marseille
  • Year and Date: 2008-09-11
• [Presentation] Wavelet-based statistics of energy transfer in high resolution direct numerical simulation of three-dimensional homogeneous isotropic turbulence (2008)
  • Author(s): N. Okamoto, K. Yoshimatsu
  • Organizer: International Symposium on Frontiers of Computational Science 2008
  • Place of Presentation: 2008, 2008年11月27日-29日(28日), 名古屋大学
• [Presentation] Columnar vortices formation in freely-decaying homogeneous rotating turbulence (2008)
  • Author(s): K. Yoshimatsu, M. Midorikawa, Y. Kaneda
  • Organizer: International Symposium on Frontiers of Computational Science 2008
  • Place of Presentation: 名古屋大学
• [Presentation] Intermittency and scale-dependent statistics in fully developed turbulence (2008)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, Y. Kaneda, M. Farge
  • Organizer: 61st Annual Meeting of the Division of Fluid Dynamics
  • Place of Presentation: San Antonio, Texas, USA.
• [Presentation] Wavelet解析による一様等方性電磁流体乱流の秩序渦構造抽出 (2008)
  • Author(s): 近藤祐史, 芳松克則, 岡本直也, 萩原裕之
  • Organizer: 乱流現象及び多自由度系の動力学、構造と統計法則
  • Place of Presentation: 九州大学応用力学研究所
• [Presentation] 高レイノルズ数一様等方性乱流における秩序渦:ウェーブレットの視点から (2008)
  • Author(s): 岡本直也, 芳松克則, Kai Schneider, Marie Farge, 金田行雄
  • Organizer: 日本流体力学会2008
  • Place of Presentation: 神戸大学
• [Presentation] Coherent vortices in high resolution direct numerical simulation of homogeneous isotropic turbulence: A wavelet viewpoint (2008)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, M. Farge, Y. Kaneda.
  • Organizer: The International Workshop on Multiscale methods for fluid and plasma turbulence: Applications to magnetically confined plasmas in fusion devices
  • Place of Presentation: CIRM, Marseille, France.
• [Presentation] Coherent vortices in high resolution direct numerical simulation of homogeneous isotropic turbulence : A wavelet viewpoint (2008)
  • Author(s): K. Yoshimatsu, N. Okamoto, K. Schneider, et.al.
  • Organizer: The International Workshop on Multiscale methods for fluid and plasma turbulence : Applications to magnetically confined plasmas in fusion devices
  • Place of Presentation: CIRM, Marseille
• [Presentation] 高レイノルズ数一様等方性乱流における秩序渦 : ウェーブレットの視点から (2008)
  • Author(s): 岡本直也,芳松克則,K. Schneider, et.al.
  • Organizer: 日本流体力学会2008
  • Place of Presentation: 神戸大学
• [Presentation] 3次元回転乱流における柱状渦構造の形成要因 (2008)
  • Author(s): 芳松克則,緑川麿,金田行雄
  • Organizer: 乱流現象及び多自由度系の動力学、構造と統計法則
  • Place of Presentation: 九州大学応用力学研究所
• [Presentation] Intermittency and scale-dependent statistics in fully developed turbulence (2008)
  • Author(s): K. Yoshimatsu, N. Okamoto K. Schneider, et.al.
  • Organizer: 61 st Annual Meeting of the Division of Fluid Dynamics
  • Place of Presentation: San Antonio, Texas, USA
• [Presentation] Wavelet-based statistics of energy transfer in high resolution direct numerical simulation of three-dimensional homogeneous isotropic turbulence (2008)
  • Author(s): N. Okamoto and K. Yoshimatsu
  • Organizer: International Symposium on Frontiers of Computational Science 2008
  • Place of Presentation: 名古屋大学
• [Presentation] 3次元電磁流体乱流における3次構造関数 (2008)
  • Author(s): 萩原裕之, 芳松克則
  • Organizer: 第22回数値流体力学シンポジウム
  • Place of Presentation: 国立オリンピック記念青少年総合センター