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1991 Fiscal Year Final Research Report Summary

A Nonlinear Solution of Wave-Structure Interactions with Collocation Method of Matched Eigenfunction Expressions

Research Project

Project/Area Number 02650364
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Hydraulic engineering
Research InstitutionKyushu University

Principal Investigator

YOSHIDA Akinori  Kyushu Univ. Faculty of Eng. Associate Professor., 工学部, 助教授 (30117288)

Project Period (FY) 1990 – 1991
KeywordsFinite Amplitude Waves / Stokes Waves / Collocation Method / Boundary-Value Problems / Nonlinear Interaction / Numerical Analysis / Floating structure / Submerged Horizontal-Plate Breakwater
Research Abstract

A new method for the matched eigenfunction expansions on the boundary-value problem of wavestructure interactions is presented first. When the solution of divided subdomains are matched on the common boundaries, pointwise convergence is specified in the new method instead of mean coherence in the conventional one. Theoretical formulation and computer programing become extremely simple because no tedious evaluations of the integrals related to the eigenfunctions are needed. Numerical calculations based on both the methods show the new method is more simple and accurate than the conventional one.
Using the new method (Collocation method of matched eigenfunction expansions), a numeric method for the study of interaction between Stokes-second-order waves and structures is developed. The method has two distinctive features : (1) the differentiations of the physical quantities are obtained theoretically ; thus it is free from errors caused by numerical differentiations which is unavoidable in other methods using discretaization technique such as Boundary Element Method and Finite Element Method, (2) the collocation matching instead of the conventional matching in the method of matched eigenfunction expansions is used ; thus the theoretical formulation and the computer programing, which are usually far more complicated than linear interaction problems become extremely simple. Comparisons of the numerical results with experimental ones show good agreements.
The collocation method of matched eigenfunction expansions is lastly extended to threedimensional, linear, wave-structure interaction problems for the purpose of developing the numerical method to solve three-dimensional nonlinear interaction problems.

  • Research Products

    (4 results)

All Other

All Publications (4 results)

  • [Publications] 吉田 明徳: "波動境界値問題におけるポテンシャル接続法の選点解法" 土木学会論文集. 第417号/IIー13. 265-274 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 吉田 明徳: "ポテンシャル接続法(選点解法)によるスト-クス波と構造物の非線形波動境界値問題解析法" 土木学会論文集. No.434IIー16. 57-66 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Akinori YOSHIDA: "A Collocation Method of Matched Eigenfunction Expansions on the Boundary-value Problem of Wave-Structure Interactions" Journal of Japan Society of Civil Engineers. No. 417 /II-13. 265-274 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Akinori YOSHIDA: "A Numerical Nonlinear Solution of Wave-Structure Interactions with Collocation Method of Matched Eigenfunction Expansions" Journal of Japan Society of Civil Engineers. No. 434 /II-13. 57-66 (1991)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-03-16  

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