Theoretical study and development of numerical schemes for splitting of non-equilibrium drops

2010 Fiscal Year Final Research Report

• Project/Area Number: 20540377
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Ehime University
• Principal Investigator: MATSUOKA Chihiro 愛媛大学, 理工学研究科, 講師 (10270266)
• Project Period (FY): 2008 – 2010
• Keywords: 非定常 / 界面 / 渦層 / 境界積分法 / 表面張力 / 2層流体

Research Abstract

Motion of an non-equilibrium interface with surface tension is investigated theoretically and numerically. In addition to that, the development for calculating the interfacial motion is performed.

Research Products

• [Journal Article] Special functions created by Borel-Laplace transform of Henon ma (2011)
  • Author(s): C. Matsuoka and K. Hiraide
  • Journal Title: Electron. Res. Announc. Math. Sci Volume: Vol.18 Pages: 1-11
  • Peer Reviewed
• [Journal Article] Notable Effects of the Metal Salts on the Formation and Decay Reactions of alpha-Tocopheroxyl Radical in Acetonitrile Solution. The Complex Formation between alpha-Tocopheroxyl and Metal Cations (2011)
  • Author(s): Y. Kohno, M. Fijii, C. Matsuoka, H. Hashimoto, A. Ouchi, S. Nagaoka, and K. Mukai
  • Journal Title: J. Phys. Chem. B Volume: Vol.115 Pages: 9880-9888
  • Peer Reviewed
• [Journal Article] Oscillation and critical phenomenon in Rayleigh-Taylor and Richtmyer-Meshkov instabilities with surface tension (2010)
  • Author(s): C. Matsuoka
  • Journal Title: Physica Scripta Volume: T142 Pages: 014020(9)
  • Peer Reviewed
• [Journal Article] Renormalization group approach to interfacial motion in incompressible Richtmyer-Meshkov instability (2010)
  • Author(s): C. Matsuoka
  • Journal Title: Phys. Rev. E Volume: Vol.82 Pages: 171009(9)
  • Peer Reviewed
• [Journal Article] 密度成層と表面張力を伴った界面における有限振幅定在波解 (2010)
  • Author(s): 松岡千博
  • Journal Title: 数理解析研究所講究録 Volume: Vol.1697 Pages: 110-120
• [Journal Article] Richtmyer-Meshkov Instability : theory of linear and nonlinear evolution (2010)
  • Author(s): K. Nishihara, J. G. Wouchuk, C. Matsuoka, R. Ishizaki, and V. V. Zhakhovskii
  • Journal Title: Philos Trans. Roy. Soc. A Volume: Vol.368 Pages: 1769-1807
  • Peer Reviewed
• [Journal Article] Vortex sheet motion in incompressible Richtmyer-Meshkov and Rayleigh-Taylor instabilities with surface tension (2009)
  • Author(s): C. Matsuoka
  • Journal Title: Phys. Fluids Volume: Vol.21 Pages: 092107(15)
  • Peer Reviewed
• [Journal Article] Formation and Decay Dynamics of Vitamin E Radical in the Antioxidant Reaction of Vitamin E (2009)
  • Author(s): K. Mukai, A. Ouch, C. Matsuoka and T. Ohara
  • Journal Title: Bull. Chem. Soc. Jpn. Volume: Vol.82 Pages: 494-503
  • Peer Reviewed
• [Journal Article] 表面張力を考慮した密度成層のある渦層の非線形発展 (2009)
  • Author(s): 松岡千博
  • Journal Title: 数理解析研究所講究録 Volume: Vol.1642 Pages: 149-163
• [Journal Article] ビタミンE同族体の抗酸化反応におけるEラジカルの生成・消滅ダイナミクス (2009)
  • Author(s): 大内綾、御手洗亜紀子、松岡千博、山本〓之、向井和男
  • Journal Title: ビタミンE研究の進歩XIII,ビタミンE研究会 Volume: Vol.13 Pages: 1-6
• [Journal Article] Nonlinear behaviour of a vortex sheet in incompressible Richtmyer-Meshkov instability with surface tension (2008)
  • Author(s): C. Matsuoka
  • Journal Title: Physica Scripta Volume: T132 Pages: 014041(8)
  • Peer Reviewed
• [Journal Article] Multi-mode character of the nonlinear dynamics of a vortex sheet in Rayleigh-Taylor and Richtmyer-Meshkov instability (2008)
  • Author(s): C. Matsuoka and K. Nishihara
  • Journal Title: J. Phys. Conference Series Volume: Vol.112 Pages: 022020(4)
  • Peer Reviewed
• [Journal Article] Vortex dynamics in incompressible Richtmyer-Meshkov instability with surface tension (2008)
  • Author(s): 松岡千博
  • Journal Title: 数理解析研究所講究録 Volume: Vol.1606 Pages: 41-57
• [Presentation] Nonlinear evolution of a current-vortex sheet in incompressible magnetohydrodynamic flow (2011)
  • Organizer: Hot Topic Workshop on Fluid Dynamics : Vortex Dynamics, Biofluids and Related Fields
  • Place of Presentation: National Institute for Mathematical Sciences(NIMS), Daejeon, South Korea
  • Year and Date: 2011-12-13
• [Presentation] 密度成層と表面張力を伴った界面の運動における特異性の形成 (2011)
  • Organizer: 日本物理学会2011秋季大会
  • Place of Presentation: 富山大学五福キャンパス
  • Year and Date: 2011-09-24
• [Presentation] 密度成層を伴った軸対称渦層の3次元発展 (2011)
  • Organizer: 日本流体力学会年会2011
  • Year and Date: 2011-09-08
• [Presentation] Three-dimensional vortex sheet motion with axial symmetry in incompressible Richtmyer-Meshkov and Rayleigh-Taylor instabilities, Turbulent Mixing and Beyond, Third International Conference and Advanced School (2011)
  • Organizer: The Abdus Salam International Centre for Theoretical Physics(ICTP)
  • Place of Presentation: Trieste, Italy
  • Year and Date: 2011-08-24
• [Presentation] Magnetic Field Amplification Associated with the Richtmyer-Meshkov Instability (2011)
  • Organizer: The Abdus Salam International Centre for Theoretical Physics(ICTP)
  • Place of Presentation: Trieste, Italy
  • Year and Date: 2011-08-24
• [Presentation] エノン写像の安定・不安定多様体を記述する新しい関数の構成 (2011)
  • Organizer: 2010年度冬の力学系研究集会
  • Place of Presentation: 東工大大岡山キャンパス
  • Year and Date: 2011-01-07
• [Presentation] くりこみ群を用いた線形不安定な系における振幅方程式の導出 (2010)
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 大阪府立大学中百舌鳥キャンパス
  • Year and Date: 2010-09-25
• [Presentation] Henon写像のBorel-Laplace変換によって生成される特殊関数 (2010)
  • Organizer: 日本数学会秋季総合大会
  • Place of Presentation: 名古屋大学
  • Year and Date: 2010-09-22
• [Presentation] 密度成層と表面張力を伴った界面における臨界運動と共鳴現象 (2010)
  • Organizer: 日本物理学会第6 5回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-22
• [Presentation] 表面張力項を伴った界面運動における非線形定在波解 (2009)
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-28
• [Presentation] 密度成層と表面張力を伴った界面における有限振幅定在波解 (2009)
  • Organizer: 日本流体力学会年会
  • Place of Presentation: 東京,東洋大学白山キャンパス
  • Year and Date: 2009-09-03
• [Presentation] Oscillation and pinching phenomenon in the Rayleigh-Taylor and Richtmyer-Meshkov instabilities with surface tension, Turbulent Mixing and Beyond, Second International Conference and Advanced School (2009)
  • Organizer: International Centre for Theoretical Physics(ICTP)
  • Place of Presentation: Trieste, Italy
  • Year and Date: 2009-07-31
• [Presentation] Molecular dynamic simulations of hydrodynamic instabilities of shocked-interface in planar and cylindrical geometries, Turbulent Mixing and Beyond, Second International Conference and Advanced School (2009)
  • Organizer: International Centre for Theoretical Physics(ICTP)
  • Place of Presentation: rieste, Italy
  • Year and Date: 2009-07-28
• [Presentation] 密度成層と表面張力を伴った界面における有限振幅定在波解 (2009)
  • Organizer: オイラー方程式の数理:渦運動と音波150年
  • Place of Presentation: 京大数研
  • Year and Date: 2009-07-21
• [Presentation] Borel-Laplace transform of a difference equation associated with Henon maps (2009)
  • Organizer: New Development of Asymptotic Analysis and Dynamical Systems
  • Year and Date: 2009-06-16
• [Presentation] 密度成層と表面張力を伴った渦層のダイナミクス (2009)
  • Organizer: 研究集会「非線形物理学の拡がり」
  • Place of Presentation: 名古屋大学
  • Year and Date: 2009-04-04
• [Presentation] ストレンジアトラクターの関数表現ーHenon写像のBorel-Laplace変換ー (2008)
  • Organizer: 日本流体力学会年会
  • Place of Presentation: 神戸大学
  • Year and Date: 2008-09-06
• [Presentation] Nonlinear evolution of a vortex sheet with density stratification and surface tension (2008)
  • Organizer: オイラー方程式の数理:渦運動1 50年研究集会
  • Place of Presentation: Kyoto University
  • Year and Date: 2008-07-17
• [Presentation] 表面張力を考慮したリヒトマイヤー・メシュコフ不安定性における境界の非線形発展 (2008)
  • Organizer: 大阪大学エネルギー学研究センターシンポジウム
  • Year and Date: 2008-04-11