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Non-modal stability of vortices and by-pass transition: towards general theory of hydrodynamic stability

Research Project

Project/Area Number 24540391
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionTohoku University

Principal Investigator

HATTORI Yuji  東北大学, 流体科学研究所, 教授 (70261469)

Co-Investigator(Renkei-kenkyūsha) FUKUMOTO Yasuhide  九州大学, マス・フォア・インダストリ研究所, 教授 (30192727)
IWAKAMI Wakana  京都大学, 基礎物理学研究所, 研究員 (50571535)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords渦 / 非モード安定性 / バイパス遷移 / 遷移的成長 / WKB安定性解析 / 流れの安定性理論 / 流れのの安定性理論
Outline of Final Research Achievements

Vortices are one of the fundamental structures in various flows. The stability of vortices is the starting point in understanding the nature of the flow. Transient growth and destabilization by localized disturbances in vortices are studied theoretically and numerically in order to understand the transition to turbulence in vortical flows. In transient growth vortex stretching by straining flow is shown to be a key mechanism. Numerical results of unstable growth of localized disturbances are in good agreement with theoretical prediction. The transition to turbulence occurs after several stages of growth.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (37 results)

All 2014 2013 2012 Other

All Journal Article (17 results) (of which Peer Reviewed: 7 results,  Acknowledgement Compliant: 1 results) Presentation (20 results) (of which Invited: 2 results)

  • [Journal Article] Modal and non-modal stability of two-dimensional Taylor-Green vortices2014

    • Author(s)
      T. Gau and Y. Hattori
    • Journal Title

      Fluid Dynamics Research

      Volume: 46 Issue: 3 Pages: 031410-031410

    • DOI

      10.1088/0169-5983/46/3/031410

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Evolution of localized disturbances in the elliptic instability2014

    • Author(s)
      Y. Hattori and M. S. bin Marzuki
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 755 Pages: 603-627

    • DOI

      10.1017/jfm.2014.439

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Variational Necessary and Sufficient Stability Conditions for Inviscid Shear Flow2014

    • Author(s)
      M. Hirota, P. J. Morrison and Y. Hattori
    • Journal Title

      Proceedings of the Royal Society A

      Volume: 470 Issue: 2172 Pages: 20140322-20140322

    • DOI

      10.1098/rspa.2014.0322

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dependence of Axial Flow inside Wing Tip Vortices on Wing Planforms2014

    • Author(s)
      Hiroshi Koizumi, Yuji Hattori
    • Journal Title

      Proceedings of the Eleventh International Conference on Flow Dynamics

      Volume: - Pages: 74-75

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Stability Analysis of Vortices with Axial Flow based on Energetics and its Application2014

    • Author(s)
      Yasuhide Fukumoto, Makoto Hirota, Yuji Hattori
    • Journal Title

      Proceedings of the 14th International Symposium on Advanced Fluid Information

      Volume: - Pages: 176-177

    • Related Report
      2014 Annual Research Report
  • [Journal Article] The Continuous Spectrum in the Moore-Saffman-Tsai-Widnall Instability2014

    • Author(s)
      Yuji Hattori, Makoto Hirota, Stefan G. Llewellyn Smith
    • Journal Title

      Proceedings of the 14th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Volume: - Pages: 178-179

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Modal stability analysis of a helical vortex tube with axial flow2014

    • Author(s)
      Yuji Hattori and Yasuhide Fukumoto
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 738 Pages: 222-249

    • DOI

      10.1017/jfm.2013.591

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Computational Study of Formation of Wing Tip Vortices at Low Reynolds Numbers2013

    • Author(s)
      Hiroshi Koizumi, Yuji Hattori
    • Journal Title

      Proceedings of the Tenth International Conference on Flow Dynamics

      Volume: - Pages: 80-81

    • Related Report
      2013 Research-status Report
  • [Journal Article] The Continuous Spectrum in the Moore-Saffman-Tsai-Windnall Instability2013

    • Author(s)
      Yuji Hattori, Makoto Hirota and Stefan G. Llewellyn Smith
    • Journal Title

      Proceedings of the 13th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Volume: - Pages: 152-153

    • Related Report
      2013 Research-status Report
  • [Journal Article] A Numerical Study of the Effect of Large Deformations of a Trailing Vortex on Its Breakdown2013

    • Author(s)
      Naoya Takahashi, Takeshi Miyazaki, Nozomu Hatakeyama and Yuji Hattori
    • Journal Title

      Proceedings of the 13th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Volume: - Pages: 150-151

    • Related Report
      2013 Research-status Report
  • [Journal Article] Stability Analysis of Vortices with Axial Flow based on Energetics and its Application2013

    • Author(s)
      Yasuhide Fukumoto and Yuji Hattori
    • Journal Title

      Proceedings of the 13th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Volume: - Pages: 168-169

    • Related Report
      2013 Research-status Report
  • [Journal Article] Motion of axisymmetric magnetic eddies with swirl2013

    • Author(s)
      Y. Hattori and S. G. Llewellyn Smith
    • Journal Title

      Procedia IUTAM

      Volume: 7 Pages: 243-250

    • DOI

      10.1016/j.piutam.2013.03.028

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Numerical Study of the Effect of Large Deformations of a Trailing Vortex on Its Breakdown2012

    • Author(s)
      Naoya Takahashi and Yuji Hattori
    • Journal Title

      Proceedings of the 12th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Volume: - Pages: 154-155

    • Related Report
      2012 Research-status Report
  • [Journal Article] Modal Stability Analysis of a Helical Vortex Tube with Axial Flow2012

    • Author(s)
      Yuji Hattori and Yasuhide Fukumoto
    • Journal Title

      Proceedings of the 12th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Volume: - Pages: 168-169

    • Related Report
      2012 Research-status Report
  • [Journal Article] Error Analysis of Volume Penalization Method for Two-Dimensional Navier-Stokes Equations2012

    • Author(s)
      Yuzuru Yatagai, Wakana Iwakami Nakano, Yuji Hattori
    • Journal Title

      Proceedings of the Ninth International Conference on Flow Dynamics

      Volume: - Pages: 92-93

    • Related Report
      2012 Research-status Report
  • [Journal Article] Axisymmetric magnetic vortices with swirl2012

    • Author(s)
      S. G. Llewellyn Smith and Y. Hattori
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 17 Issue: 5 Pages: 2101-2107

    • DOI

      10.1016/j.cnsns.2011.06.001

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Effects of axial flow on the stability of a helical vortex tube2012

    • Author(s)
      Y. Hattori and Y. Fukumoto
    • Journal Title

      Physics of Fluids

      Volume: 24 Issue: 5

    • DOI

      10.1063/1.4717769

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Evolution of mean flow and disturbances in strained vortices2014

    • Author(s)
      Yuji Hattori
    • Organizer
      67th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      San Francisco, USA
    • Year and Date
      2014-11-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] 翼端渦構造の翼平面形依存性の数値シミュレーション研究2014

    • Author(s)
      小泉博史, 服部裕司
    • Organizer
      日本流体力学会年会2014
    • Place of Presentation
      宮城県仙台市, 東北大学
    • Year and Date
      2014-09-16
    • Related Report
      2014 Annual Research Report
  • [Presentation] 軸流をもつ渦のパラメタ共鳴不安定性と波のエネルギー2014

    • Author(s)
      服部裕司, 廣田真, 福本康秀
    • Organizer
      日本流体力学会年会2014
    • Place of Presentation
      宮城県仙台市, 東北大学
    • Year and Date
      2014-09-15
    • Related Report
      2014 Annual Research Report
  • [Presentation] 乱れた歪み渦の平均流2014

    • Author(s)
      服部裕司
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      愛知県春日井市, 中部大学
    • Year and Date
      2014-09-07
    • Related Report
      2014 Annual Research Report
  • [Presentation] 歪んだ渦と曲がった渦の不安定性

    • Author(s)
      服部裕司
    • Organizer
      応用数学連携フォーラム第38回ワークショップ
    • Place of Presentation
      宮城県仙台市
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 歪んだ渦における局所擾乱の成長:線形不安定性・非線形発展・乱流

    • Author(s)
      服部裕司
    • Organizer
      平成25年度NIFS共同研究研究会「MHDおよび流体力学における流れの安定性に関する理論・シミュレーション研究」
    • Place of Presentation
      岐阜県土岐市
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Computational Study of Formation of Wing Tip Vortices at Low Reynolds Numbers

    • Author(s)
      Hiroshi Koizumi, Yuji Hattori
    • Organizer
      Tenth International Conference on Flow Dynamics
    • Place of Presentation
      宮城県仙台市
    • Related Report
      2013 Research-status Report
  • [Presentation] The Continuous Spectrum in the Moore-Saffman-Tsai-Windnall Instability

    • Author(s)
      Yuji Hattori, Makoto Hirota and Stefan G. Llewellyn Smith
    • Organizer
      13th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration
    • Place of Presentation
      宮城県仙台市
    • Related Report
      2013 Research-status Report
  • [Presentation] A Numerical Study of the Effect of Large Deformations of a Trailing Vortex on Its Breakdown

    • Author(s)
      Naoya Takahashi, Takeshi Miyazaki, Nozomu Hatakeyama and Yuji Hattori
    • Organizer
      13th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration
    • Place of Presentation
      宮城県仙台市
    • Related Report
      2013 Research-status Report
  • [Presentation] Stability Analysis of Vortices with Axial Flow based on Energetics and its Application

    • Author(s)
      Yasuhide Fukumoto and Yuji Hattori
    • Organizer
      13th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration
    • Place of Presentation
      宮城県仙台市
    • Related Report
      2013 Research-status Report
  • [Presentation] 歪み渦における局所擾乱の成長過程

    • Author(s)
      服部裕司
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Evolution of localized disturbances in the elliptical flow

    • Author(s)
      Y. Hattori and M. S. Bin Marzuki
    • Organizer
      IUTAM Symposium on Vortex Dynamics: Formation, Structure and Function
    • Place of Presentation
      Fukuoka, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] Modal and non-modal stability of two-dimensional Taylor-Green vortices

    • Author(s)
      Takayuki Gau, Yuji Hattori
    • Organizer
      IUTAM Symposium on Vortex Dynamics: Formation, Structure and Function
    • Place of Presentation
      Fukuoka, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] 2次元テイラー-グリーン渦のモード安定性解析

    • Author(s)
      我有隆行,服部裕司
    • Organizer
      日本流体力学会年会2012
    • Place of Presentation
      高知大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Modal Stability Analysis of a Helical Vortex Tube with Axial Flow

    • Author(s)
      Yuji Hattori and Yasuhide Fukumoto
    • Organizer
      The 12th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration
    • Place of Presentation
      Sendai, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] A Numerical Study of the Effect of Large Deformations of a Trailing Vortex on Its Breakdown

    • Author(s)
      Naoya Takahashi and Yuji Hattori
    • Organizer
      The 12th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration
    • Place of Presentation
      Sendai, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] Error Analysis of Volume Penalization Method for Two-Dimensional Navier-Stokes Equations

    • Author(s)
      Yuzuru Yatagai, Wakana Iwakami Nakano, Yuji Hattori
    • Organizer
      The Ninth International Conference on Flow Dynamics
    • Place of Presentation
      Sendai, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] Evolution of localized disturbances in the elliptical instability

    • Author(s)
      Y. Hattori and M. S. Bin Marzuki
    • Organizer
      The 9th European Fluid Mechanics Conference
    • Place of Presentation
      Rome, Italy
    • Related Report
      2012 Research-status Report
  • [Presentation] Effects of Axial Flow on the Curvature Instability of a Helical Vortex Tube: Modal Analysis

    • Author(s)
      Yuji Hattori and Yasuhide Fukumoto
    • Organizer
      The 23rd International Congress of Theoretical and Applied Mechanics
    • Place of Presentation
      Beijing, China
    • Related Report
      2012 Research-status Report
  • [Presentation] Motion of axisymmetric magnetic eddies with swirl

    • Author(s)
      Y. Hattori and S. G. Llewellyn Smith
    • Organizer
      IUTAM Symposium on Topological Fluid Dynamics
    • Place of Presentation
      Cambridge, UK
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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