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Eigenvalue problems of non self-adjoint equation in the field of the ship hydrodynamics and its application to the optimum discretization method

Research Project

Project/Area Number 19560796
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Naval and maritime engineering
Research InstitutionOsaka University

Principal Investigator

MATSUMURA Kiyoshige  Osaka University, 工学研究科, 准教授 (10135668)

Co-Investigator(Kenkyū-buntansha) TODA Yasuyuki  大阪大学, 工学研究科, 教授 (20172166)
SANADA Yuugo  大阪大学, 工学研究科, 助教 (30467542)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords非自己随伴問題 / 積分方程式 / 固有関数 / 重率残差法 / 変分原理 / 粘性流体 / エアリー関数 / 急変動関数 / 境界層 / ケルビン波 / 変数分離法 / エルミート多項式 / 座標歪曲法 / 層流境界層方程式 / 固有関数展開 / コーシーポアソン波 / 有関数展開 / 積分公式
Research Abstract

On the viscous fluid, Karman-Millikan's integral equations on the momentum loss in boundary layer and wake field were investigated from the viewpoint of the eigenfunction expansion. The kernel function were expanded by using the eigenfunction of the linearlized boundary layer equation. As a result, the integral equation wase discretized to infinite number of integral relations. Those ware equivalent to the Weighted residual equations weighted by the adjoint eigenfunctions. Coordinate straining method was developed and good results were obtained. Variational principle on the coordinate straining function was shown. On the wave field, new method of the separation of independent variables was presented. The free wave behind a ship was represented by the two Airy's functions.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report

Research Products

(9 results)

All 2010 2009 2008 2007

All Journal Article (3 results) (of which Peer Reviewed: 1 results) Presentation (6 results)

  • [Journal Article] 伴流を含む層流境界層方程式の積分方程式化とその固有関数展開法2009

    • Author(s)
      松村清重, 斎藤良裕, 杉村友生, 岸一大
    • Journal Title

      日本船舶海洋工学会講演会論文集 9K

      Pages: 61-64

    • NAID

      40016901606

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 定常移動する圧力源によって生成される自由波のAiry関数表現について2008

    • Author(s)
      松村清重, 井口雄太
    • Journal Title

      日本船舶海洋工学会講演会論文集 V. 7K

      Pages: 95-98

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 2次元層流境界層に関する積分方程式の固有関数展開法について2007

    • Author(s)
      松村清重、杉村友生、斎藤良裕
    • Journal Title

      日本船舶海洋工学会講演会論文集 5K

      Pages: 111-114

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 後続自由波のAiry関数表現と波形解析について2010

    • Author(s)
      松村清重, 杉森心平, 井口雄太
    • Organizer
      日本船舶海洋工学会講演会論文集
    • Place of Presentation
      タワーホール船堀
    • Year and Date
      2010-06-08
    • Related Report
      2009 Final Research Report
  • [Presentation] 伴流を含む層流境界層方程式の積分方程式化とその固有関数展開法, 松村清重, 斎藤良裕2009

    • Author(s)
      杉村友生, 岸一大
    • Organizer
      日本船舶海洋工学会講演会論文集
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-11-05
    • Related Report
      2009 Final Research Report
  • [Presentation] 定常移動する圧力源によって生成される自由波のAiry関数表現について2008

    • Author(s)
      松村清重, 井口雄太
    • Organizer
      日本船舶海洋工学会講演会論文集, 第7K号
    • Place of Presentation
      大阪大学
    • Year and Date
      2008-11-12
    • Related Report
      2009 Final Research Report
  • [Presentation] Free Surface Measurement by Reflected Light Image2008

    • Author(s)
      Sanada Y., Toda Y., Hamachi S.
    • Organizer
      ITTC 2008 Fukuoka
    • Place of Presentation
      福岡国際会議場
    • Year and Date
      2008-09-17
    • Related Report
      2009 Final Research Report
  • [Presentation] 2次元層流境界層に関する積分方程式の固有関数展開法について2007

    • Author(s)
      松村清重, 杉村友生, 斎藤良裕
    • Organizer
      日本船舶海洋工学会講演会論文集, 第5K号
    • Place of Presentation
      大阪大学
    • Year and Date
      2007-11-16
    • Related Report
      2009 Final Research Report
  • [Presentation] 水面反射像を用いた航走波計測2007

    • Author(s)
      濱地佐知子, 眞田有吾, 村本龍馬
    • Organizer
      日本船舶海洋工学会講演会論文集, 第5号
    • Place of Presentation
      大阪大学
    • Year and Date
      2007-11-16
    • Related Report
      2009 Final Research Report

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Published: 2007-03-31   Modified: 2016-04-21  

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