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Development of practical numerical methods for free surface flow

Research Project

Project/Area Number 10555178
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section展開研究
Research Field 水工水理学
Research InstitutionKUMAMOTO UNIVERSITY

Principal Investigator

YAMADA Fumihiko  Graduate School of Science and Technology, Kumamoto University, Research Associate, 大学院・自然科学研究科, 助手 (60264280)

Co-Investigator(Kenkyū-buntansha) TAKIKAWA Kiyoshi  Kumamoto University, Dept. of Civil and Environmental Eng., Professor, 工学部, 教授 (80040450)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 1999: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1998: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsFree surface / Mass conservation / Boundary-Fitted Coordinate method / Boundary-Fitted Coordinate / Cubic Interpolated Pseudo-particle method / Volume of Fluid method / Image processing / Moving boundary / Boundary-Fitted Coordinate(BFC)法 / 表面張力 / 数値格子生成法 / 界面勾配 / 圧力振動 / Volume of Fluid(VOF)法 / 密度関数 / Cubic Interpolated Pseudo-particle(CIP)法 / マスコンモデル
Research Abstract

l) The spatial divergence of velocities obtained by ordinary image processing for the breaking wave process is investigated to clarify the extent to which the mass conservation law is valid. It was found that the mass conservation law is more difficult to satisfy near the bottom and the free surface. A velocity correcting method which satisfies the mass conservation law by using a mass-consistent model was thus proposed. Breaker types (which axe judged conventionally by external factors), bottom slope and incident wave condition, can be determined by the internal characteristics with or without existing complex rotational motions.
2) The numerical method used the Boundary-Fitted Coordinate (BFC) method consisting of the Boundary-Fitted Coordinates and Numerical Grid Generation technique. The accuracy of the present method was examined by performing calculations for a plunging breaker on a uniform slope. A comparison of both the numerical method and the experimental results from LDV and image processing immediately before the breaker confirmed the validity of the numerical method.
3) A computational technique for improving the accuracy of both recognizing the free surface and satisfying mass-conservation in The Volume of Fluid (VOF) method is presented. Furthermore, because the advective equation of density functions is used for tracking free surface advection, a computational scheme having less numerical diffusion must be considered. Investigations of numerical diffusion in conventional numerical schemes indicated that the Cubic Interpolated Pseudo-particle (CIP) method associated with the Digitizer method (tangential transformation of density functions) is less diffusive.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] 山田文彦、滝川清、柿木哲哉、白木原圭太: "波動場の画像解析へのMass-consistentモデルの適用性に関する研究"第53回土木学会年次学術講演会第II部門. 266-267 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 山田文彦、滝川清、柿木哲哉、白木原圭太: "Mass-consistentモデルの画像解析への適用とその解析精度に関する研究"海岸工学論文集. 第45(2). 1281-1285 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 山田文彦、滝川清、飯尾昌和: "密度関数の解法にCIP法を用いたVOF法の解析精度に関する研究"応用力学論文集. 第1. 283-292 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada & K. Takikawa: "Omproving the accuracy of free-surface recognition and conservation"Proc. of the 9th International Offshore and polar engineering conference. III. 643-650 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 山田文彦、滝川: "境界適合座標法を用いた自由表面流れおよび波変形過程の解析"応用力学論文集. 2. 191-200 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada & K. Takikawa: "Numerical models with Reynolds equation based energy dissipation for plunging breaker on a uniform slope"Coastal Engineering Journal. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada, K. Takikawa, T. Kakinoki and K. Shirakihara: "Application of the mass-consistent model for image processing of wave motion fields"Proc. of Coastal Engineering, JSCE. 45(in Japanese). 1281-1285 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada, K. Takikawa and M. Iio: "Computational accuracy of the VOF method using CIP method for solving advections of density functions"J.of Applied Mechanics. 1 )in Japanese). 283-292 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada & K. Takikawa: "Improving the accuracy of free-surface recogition and conservation of mass for VOF method"Proc. Of the 9th International Offshore and polar engineering conference. 643-650 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada & K. Takikawa: "Numerical simulations for free surface flows and wave deformations using the boudary-fitted coordinate method"J. of Applied Mechanics. 2(in Japanese). 191-200 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada & K. Takikawa: "Numerical models with Reynolds equation based energy dissipation for plunging breaker on a uniform slope"Coastal Engineering Journal. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Yamada & K. Takikawa: "Improving the accuracy of free-surface recognition and conservation of mass for VOF method"Proc. of the 9^<th> International Offshore and polar engineering conference. III. 643-650 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 山田文彦、滝川 清: "境界適合座標法を用いた自由表面流れおよび波変形過程の解析"応用力学論文集. 2. 191-2000 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] F. Yamada & K. Takikawa: "Numerical models with Reymolds equation based energy dissipation for plunging breaker on a uniform slope"Coastal Engineering Journal. 印刷中.

    • Related Report
      1999 Annual Research Report
  • [Publications] 山田文彦・滝川 清・柿木哲哉・白木原圭太: "波動場の画像解析へのMass-consistentモデルの適用性に関する研究" 第53回土木学会年次学術後援会 第II部門. 266-267 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 山田文彦・滝川 清・白木原圭太・高山浩介: "画像解析を用いた砕波変形機構の解明" 平成10年度土木学会西部支部研究発表会概要集 第II部門. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 山田文彦・滝川 清・柿木哲哉・白木原圭太: "Mass-consistentモデルの画像解析への運用とその解析制度に関する研究" 海岸工学論文集. 第45(2). 1281-1285 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 山田文彦・滝川清・飯尾昌和: "密度関数の解放にCIP法を用いたVOF法の解析制度に関する研究" 応用力学論文集. 第1. 283-292 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] F.Yamada & K.Takikawa: "Improving the accuracy of free-surface recognition and conservation of mass for FOF method" Proc.Of the 9^<th> International Offshore and polar engineering conference. III(印刷中). (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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