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Practical computational method of open channel unsteady flows including sub & super critical flows

Research Project

Project/Area Number 12660215
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Irrigation, drainage and rural engineering/Rural planning
Research InstitutionTHE UNIVERSITY OF TOKYO

Principal Investigator

SHIMADA Masashi  Graduate School of Agricultural & Life Science, The University of Tokyo, Associate Professor, 大学院・農学生命科学研究科, 助教授 (10272436)

Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2001: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2000: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsUnsteady flows in open channels / Numerical / Critical Depth / Abrupt Enlargement And Contradiction / Translatory hydraulic jump / 円形断面水路 / 常流遷移 / 開水路 / 非定常流 / 差分法 / 射流 / 境界条件 / 流束制限因子
Research Abstract

The explicit scheme, proposed by Moll (1998) using the Saint Venant equations in the conservation form, is advanced toward its establishment of a practical numerical method of computing coexisting subcritical and supercritical flows through analyzing how to incorporate calculations at boundaries. The scheme suppresses spurious oscillation due to numerical errors by incorporating the flux limiter in the easier calculation algorithm. Especially, the calculations at a connection between two channels with each different slope is theoretically analyzed. A set of the finite-dirrerence equations and boundary condition gives two bifurcated relations : one is valid for flows except for critical flows and the other valid for critical flows. With these the explicit scheme becomes hopeful method of analyzing unsteady flows where a control section, a hydraulic jump, and bore are given to examine the analysis on boundary calculations. In addition, connections between two channels of different cross sections such as circular or rectangular ones, where the flows change from ordinary to another ordinary flows, are dealt with to solve the finite-difference equations, the boundary conditions, and the momentum equation proper to the connection boundary. The some computational examples are given by calculations of unsteady flows including supercritical and subcrtical flows situations and/or a bore (translatory jump) in simple and rather complicated channel systems.

Report

(3 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • Research Products

    (3 results)

All Other

All Publications (3 results)

  • [Publications] Shimada, M., Togawa, K., H.Inagaki.: "Pressure Surges : Safe Design and Operation of Industrial Pipe System (Explicit Chang & Mill scheme of computing unsteady flows in open channels)"Professional Engineering Publishing, BHRG (Edited by A.Anderson). 626(451-468) (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Shimada M, Togawa K, Inagaki H: "Explicit Chang & Moll scheme of computing unsteady flows in open channels, Pressure Surges : Safe Design and Operation of Industrial Pipe System Edited by A. Anderson"rofessional Engineering Publishing, BHRG. 451-468 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.SHIMADA: "Explicit Chang & Moll scheme of computing unsteady flows in open channels"8Th Int.Conf.on PRESSURE Surges. 451-468 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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