2009 Fiscal Year Final Research Report
Eigenvalue problems of non self-adjoint equation in the field of the ship hydrodynamics and its application to the optimum discretization method
| Project/Area Number |
19560796
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Naval and maritime engineering
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| Research Institution | Osaka University |
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Principal Investigator |
MATSUMURA Kiyoshige Osaka University, 工学研究科, 准教授 (10135668)
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| 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)
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| Project Period (FY) |
2007 – 2009
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| 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 |
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| 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.
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