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Nonlinear Dynamics of Curved Vortical Structures

Research Project

Project/Area Number 20540379
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionTohoku University (2009-2011)
Kyushu Institute of Technology (2008)

Principal Investigator

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

Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords渦運動 / 線形安定性 / 曲率不安定性 / 直接数値シミュレーション / 非線形性 / 乱流 / らせん渦 / 渦輪 / 短波長安定性解析
Research Abstract

Vortices are important and fundamental structures in fluid dynamics. We clarify the effects of curvature on the behavior of vortices. The instability and nonlinear dynamics of a fat vortex ring, a helical vortex tube etc. are investigated theoretically ; the results are generalized to a general class of vortices which are curved. The effects of the axial flow, which exists in most of vortices, on the stability and nonlinear dynamics are also clarified by theoretical and numerical analysis. The obtained results are used to improve the statistical theory of turbulence.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (54 results)

All 2012 2011 2010 2009 2008

All Journal Article (28 results) (of which Peer Reviewed: 22 results) Presentation (26 results)

  • [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: Vol.24

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 渦対の形成過程の数値解析2012

    • Author(s)
      服部裕司, 中野わかな, 畠山望, 福本康秀
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1776 Pages: 91-99

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Differential-geometric structures of ideal magnetohydrodynamics and plasma instabilities2011

    • Author(s)
      Y.Hattori
    • Journal Title

      Journal of Math-for-Industry

      Volume: 3 Pages: 119-123

    • NAID

      40019161272

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New Exact Solutions for Vortex Rings with Swirl and Magnetic Field2011

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

      Proceedings of the 11th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Pages: 144-145

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Instability of a Helical Vortex Tube with Axial Flow2011

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

      Proceedings of the 11th International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Pages: 148-149

    • NAID

      130005020750

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] らせん渦の線形安定性解析:ノーマルモード解析と短波長解析の関係2011

    • Author(s)
      服部裕司, 福本康秀
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1749 Pages: 205-216

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Short-wavelength stability analysis of Hill's vortex with/without swirl2010

    • Author(s)
      Y. Hattori and K. Hijiya
    • Journal Title

      Physics of Fluids

      Volume: Vol.22

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Short-wave stability of a helical vortex tube : the effect of torsion on the curvature instability2010

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

      Theoretical and Computational Fluid Dynamics

      Volume: Vol.24 Pages: 363-368

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Short-wavelength stability analysis of Hill's vortex with/without swirl2010

    • Author(s)
      Y.Hattori, K.Hijiya
    • Journal Title

      Physics of Fluids Vol.22

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Short-wave stability of a helical vortex tube : the effect of torsion on the curvature instability2010

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

      Theoretical and Computational Fluid Dynamics Vol.24

      Pages: 363-368

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Short-wavelength stability analysis of Hill's vortex with/without swirl2010

    • Author(s)
      Y.Hattori, K.Hijiya
    • Journal Title

      Physics of Fluids

      Volume: 22

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Normal-Mode Stability Analysis of a Helical Vortex Tube2010

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

      Proceedings of The Tenth International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Pages: 136-137

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Axisymmetric Steady Magnetic Vortices with Swirl2010

    • Author(s)
      Stefan G.Llewellyn Smith, Y.Hattori
    • Journal Title

      Proceedings of The Tenth International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Pages: 144-145

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Study of Formation of a Vortex Pair by Realistic Simulation2010

    • Author(s)
      Y.Hattori, W.I.Nakano, N.Hatakeyama, Y.Fukumoto
    • Journal Title

      Proceedings of the 5th International Congress on Vortex Flow and Vortex Methods

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 渦運動と音波:Hillの球形渦の場合2010

    • Author(s)
      服部裕司
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1697 Pages: 208-220

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Short-wave stability of a helical vortex tube : the effect of torsion on the curvature instability2010

    • Author(s)
      服部裕司, 福本康秀
    • Journal Title

      Theoretical and Computational Fluid Dynamics 24

      Pages: 363-368

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear Dynamics of Disturbed Vortices2009

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

      Proceedings of The Sixth International Conference of Flow Dynamics

      Pages: 568-568

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Assessment of Volume Penalization Method for Direct Numerical Simulation of Incompressible Flows2009

    • Author(s)
      Y. Hattori
    • Journal Title

      Proceedings of The Ninth International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Pages: 116-117

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Short-wavelength Stability Analysis of a Helical Vortex Tube2009

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

      Physics of Fluids

      Volume: Vol.21

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear Dynamics of Disturbed Vortices2009

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

      Proceedings of The Sixth International Conference of Flow Dynamics

      Pages: 568-568

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Assessment of Volume Penalization Method for Direct Numerical Simulation of Incompressible Flows2009

    • Author(s)
      Y.Hattori
    • Journal Title

      Proceedings of The Ninth International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Pages: 116-117

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Short-wavelength Stability Analysis of a Helical Vortex Tube2009

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

      Physics of Fluids Vol.21

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Assessment of Volume Penalization Method for Direct Numerical Simulation of Incompressible Flows2009

    • Author(s)
      服部裕司
    • Journal Title

      Proceedings of The Ninth International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration

      Pages: 116-117

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear Dynamics of Disturbed Vortices2009

    • Author(s)
      服部裕司, 福本康秀
    • Journal Title

      Proceedings of The Sixth International Conference of Flow Dynamics

      Pages: 568-568

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 渦構造の曲率安定性2009

    • Author(s)
      服部裕司, 福本康秀
    • Journal Title

      京都大学数理解析研究所講究録「オイラー方程式の数理:渦運動150年」 1642

      Pages: 197-205

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Short-wavelength Stability Analysis of a Helical Vortex Tube2009

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

      Physics of Fluids 21

      Pages: 14104-14104

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 渦構造の曲率安定性2009

    • Author(s)
      服部裕司, 福本康秀
    • Journal Title

      京都大学数理解析研究所講究録「オイラー方程式の数理 : 渦運動150年」 1642

      Pages: 197-205

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 太い渦輪の短波長安定性解析2009

    • Author(s)
      泥谷圭亮, 服部裕司
    • Journal Title

      九州大学応用力学研究所研究集会報告「乱流現象及び多自由度系の動力学, 構造と統計法則」 20ME-SB

      Pages: 158-165

    • Related Report
      2008 Annual Research Report
  • [Presentation] swirlをもつ磁気渦輪のcontour dynamicsとその一般化2012

    • Author(s)
      服部裕司, Stefan Llewellyn Smith
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学(西宮)
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Instability of a Helical Vortex Tube with Axial Flow2011

    • Author(s)
      Yuji Hattori
    • Organizer
      Hot Topic Workshop on Fluid Dynamics : Vortex Dynamics, Biofluids and Related Fields
    • Place of Presentation
      大田(韓国)
    • Year and Date
      2011-12-12
    • Related Report
      2011 Final Research Report
  • [Presentation] Instability of a Helical Vortex Tube with Axial Flow2011

    • Author(s)
      Yuji Hattori
    • Organizer
      Hot Topic Workshop on Fluid Dynamics : Vortex Dynamics, Biofluids and Related Fields
    • Place of Presentation
      NIMS(韓国、大田)(招待講演)
    • Year and Date
      2011-12-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stability of a helical vortex tube with axial flow2011

    • Author(s)
      Yuji Hattori, Yasuhide Fukumoto
    • Organizer
      APS 64th Annual DFD Meeting
    • Place of Presentation
      Baltimore Convention Center(米国,ボルティモア)
    • Year and Date
      2011-11-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] Development of volume penalization method for simulation of flow around complex bodies2011

    • Author(s)
      Yuji Hattori
    • Organizer
      CCS Symposium Autumn 2011
    • Place of Presentation
      名古屋大学(名古屋)
    • Year and Date
      2011-11-02
    • Related Report
      2011 Final Research Report
  • [Presentation] Development of volume penalization method for simulation of flow around complex bodies2011

    • Author(s)
      Yuji Hattori
    • Organizer
      CCS Symposium Autumn 2011
    • Place of Presentation
      名古屋大学(名古屋)(招待講演)
    • Year and Date
      2011-11-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] 軸流をもつらせん渦のモード安定性解析2011

    • Author(s)
      服部裕司, 福本康秀
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学(富山)
    • Year and Date
      2011-09-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] 軸流をもつらせん渦の短波長安定性解析2011

    • Author(s)
      服部裕司, 福本康秀
    • Organizer
      日本流体力学会年会2011
    • Place of Presentation
      首都大学東京(八王子)
    • Year and Date
      2011-09-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] 渦対形成過程の直接数値シミュレーション研究2010

    • Author(s)
      服部裕司, 中野わかな, 畠山望, 福本康秀
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      堺
    • Year and Date
      2010-09-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Realistic DNS of Vortex Pair Formation2010

    • Author(s)
      Y.Hattori, W.I.Nakano, N.Hatakeyama
    • Organizer
      The 8th Euromech Fluid Mechanics Conference
    • Place of Presentation
      ドイツ、バドライシェンホール
    • Year and Date
      2010-09-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] 渦対の形成過程の現実的数値シミュレーション2010

    • Author(s)
      服部裕司, 中野わかな, 畠山望, 福本康秀
    • Organizer
      日本流体力学会年会2010
    • Place of Presentation
      札幌
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] らせん渦の線形安定性解析:ノーマルモード解析と短波長解析の関係2010

    • Author(s)
      服部裕司, 福本康秀
    • Organizer
      RIMS研究集会「オイラー方程式の数理:力学と変分原理250年」
    • Place of Presentation
      京都大学(京都)
    • Year and Date
      2010-07-14
    • Related Report
      2011 Final Research Report
  • [Presentation] らせん渦の線形安定性解析:ノーマルモード解析と短波長解析の関係2010

    • Author(s)
      服部裕司, 福本康秀
    • Organizer
      RIMS研究集会「オイラー方程式の数理:力学と変分原理250年」
    • Place of Presentation
      京都
    • Year and Date
      2010-07-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Local Stability Analysis of Fat Vortex Ring2009

    • Author(s)
      Y. Hattori and K. Hijiya
    • Organizer
      The 62nd Annual Meeting of the American Physical Society's Division of Fluid Dynamics
    • Place of Presentation
      ミネアポリス(アメリカ)
    • Year and Date
      2009-11-23
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
  • [Presentation] Local Stability Analysis of Fat Vortex Rings2009

    • Author(s)
      Y.Hattori, K.Hijiya
    • Organizer
      The 62nd Annual Meeting of the American Physical Society's Division of Fluid Dynamics
    • Place of Presentation
      ミネアポリス(アメリカ)
    • Year and Date
      2009-11-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 渦輪の安定性 : swirlの効果2009

    • Author(s)
      服部裕司, 泥谷圭亮
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本)
    • Year and Date
      2009-09-26
    • Related Report
      2011 Final Research Report
  • [Presentation] 渦輪の安定性:swirlの効果2009

    • Author(s)
      服部裕司, 泥谷圭亮
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本)
    • Year and Date
      2009-09-26
    • Related Report
      2010 Self-evaluation Report 2009 Annual Research Report
  • [Presentation] Curvature instability of vortical structures2009

    • Author(s)
      Y. Hattori, K. Hijiya and Y. Fukumoto
    • Organizer
      Bifurcations and Instabilities in Fluid Dynamics, Third International Symposium
    • Place of Presentation
      ノッティンガム(イギリス)
    • Year and Date
      2009-08-12
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] 渦運動と音波:Hillの球形渦の場合2009

    • Author(s)
      服部裕司
    • Organizer
      RIMS研究集会「オイラー方程式の数理:渦運動と音波150年」
    • Place of Presentation
      京都大学(京都)
    • Year and Date
      2009-07-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 太い渦輪の線形安定性2009

    • Author(s)
      服部裕司, 泥谷圭亮
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学(東京)
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Short-wave stability of a helical vortex tube : The effect of torsion on the curvature instability2008

    • Author(s)
      Y. Hattori and Y. Fukumoto
    • Organizer
      IUTAM Symposium : 150 Years of Vortex Dynamics
    • Place of Presentation
      コペンハーゲン(デンマーク)
    • Year and Date
      2008-10-16
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report 2008 Annual Research Report
  • [Presentation] らせん渦の安定性 : 捩りと回転の効果2008

    • Author(s)
      服部裕司, 福本康秀
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学(岩手)
    • Year and Date
      2008-09-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] 短波長極限におけるらせん渦の不安定性2008

    • Author(s)
      服部裕司, 福本康秀
    • Organizer
      日本流体力学会年会2008
    • Place of Presentation
      神戸大学(神戸)
    • Year and Date
      2008-09-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] Curvature instability of a vortex ring and a helical vortex tube2008

    • Author(s)
      Y. Hattori and Y. Fukumoto
    • Organizer
      22nd International Congress of Theoretical and Applied Mechanics
    • Place of Presentation
      アデレード(オーストラリア)
    • Year and Date
      2008-08-25
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report 2008 Annual Research Report
  • [Presentation] Curvature instability of vortical structures2008

    • Author(s)
      Y.Hattori, K.Hijiya, Y.Fukumoto
    • Organizer
      Bifurcations and Instabilities in Fluid Dynamics, Third International Symposium
    • Place of Presentation
      ノッティンガム(イギリス)
    • Year and Date
      2008-08-12
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] 渦構造の曲率不安定性2008

    • Author(s)
      服部裕司, 福本康秀
    • Organizer
      京都大学数理解析研究所研究集会「オイラー方程式の数理 : 渦運動150年」
    • Place of Presentation
      京都大学(京都)
    • Year and Date
      2008-07-18
    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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