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Survey of nonlinear analysis methods in hydraulics

Research Project

Project/Area Number 02302064
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field Hydraulic engineering
Research InstitutionTokyo Institute of Technology

Principal Investigator

IKEDA S.  Tokyo Institute of Technology, Dept. of Civil Eng., Professor, 工学部, 教授 (60016590)

Co-Investigator(Kenkyū-buntansha) HOSODA T.  Kyoto Univ., Dept. of Civil Eng., Research Associate, 工学部, 助手 (10165558)
YAMASAKA M.  Kanazawa Inst. of Tech., Dept. of Civil Eng., Assoc. Professor, 工学部, 助教授 (20174641)
TSUJIMOTO T.  Kanazawa Univ., Dept. of Civil Eng., Assoc. Professor, 工学部, 助教授 (20115885)
KUROKI M.  Hokkaido Univ., Dept. of Civil Eng., Assoc. Professor, 工学部, 助教授 (50002001)
ISHIKAWA T.  Tohoku Univ., Dept. of Civil Eng., Assoc. Professor, 工学部, 助教授 (50159696)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1991: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
KeywordsNonlinear analysis / Fluid motion / Oscillation / Diffusion / Chaos / Numerical analysis / Boundary condition / 基線型 / 非線形解析 / 水理学
Research Abstract

Fluid motion is inherently nonlinear, and the nonlinearity appears in many phenomena. In the present study, various techniques to solve the nonlinear equations used are surveyed. They are as follows :
(1) Various noninear oscillation systems were studied, in which nonlinear response, synchronization and subharmonic response were explained in detail.
(2) The nonlinearlity which appears in diffusion process was summarized, in which various techniques to solve the diffusion equation were described, e. g. exact analytical solution, singular perturbation technique, approximate method to solve the boundary layer equation.
(3) Nonlinearity also occurs for boundary conditions. As a typical example, finite amplitude wave (Stokes wave) was treated using perturbation technique. The nonlinearity which appears for the bottom concentration of suspended was described in this chapter.
(4) Bifurcation and the associated phenomenon of chaos were also described in detail, and the theory was applied to Bernard cell and sloshing of liquid contained in tanks subject to oscillation.
(5) Numerical method is now essential in solving the nonlinear equations. Modeling of turbulent flow, e. g. two-equation model, and techniques which are used in numerical computation are studied in this chapter.
(6) The technique described in the above were applied to various flow field, e. g. galloping of elastic beam, sloshing subject to vertical oscillation, fall velocity of rigid body in turbulent flow, sediment transport, self-formed straight channels, river meandering, alternate bars and flood flows.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (4 results)

All Other

All Publications (4 results)

  • [Publications] 池田 駿介(編): "流体における非線型問題とその解法" 朝倉書店, (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Ikeda S.: Asakura. Nolinear problems and their analyses in fluid dynamics, (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 池田 駿介(編): "流体における非線型問題とその解法" 朝倉書店, (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Syunske Ikeda and Norihiro Izume: "Stable channel crossーsection of straight sand rivers" Water Resources Research.

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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