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Study on macroscopic description based on soliton modes for coastal waves

Research Project

Project/Area Number 61550368
Research Category

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

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

Principal Investigator

YASUDA Takashi  Associate Professor at Gifu University, 工学部, 助教授 (10093329)

Co-Investigator(Kenkyū-buntansha) SHINODA Seirou  Research Associate at Gifu University, 工学部, 助手 (80187369)
Project Period (FY) 1986 – 1987
Project Status Completed (Fiscal Year 1987)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1987: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1986: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsCoastal waves / Soliton / Envelope soliton / Amplitude distribution / Perturbed soliton / 浅水変形 / 包絡ソリトン / 波群 / エントロピー / エネルギー分布
Research Abstract

In this research project, a method,in which a soliton is treated as elementary excitation of coastal waves, is suggested to describe the microscopic and macroscopic properties of the coastal waves using the asymptotic multi-soliton solution of the KdV class equation, while another approach, that treats natural seasates with remarkable groupiness as random sequences of envelope solitons, is proposed to explain their dynamical and statistical properties. Both the methods are applied to waves observed in field and their applicability are verified.
The primary results are summarized as follows :
1. Description of coastal waves propagating over a two dimensional (2D) domain : A practical method, that uses together the classical linear ray theory and the KdV class equation in a slowly varying ray channel with dissipation, is suggested to describe approximately but simply the ocastal waves propagating over a 2D domain.
2. Microscopic properties of coastal waves : The soliton mode method, that tr … More eats the coastal waves as a random train of asymptotically independent solitons,is applied to the waves observed at Torrey Pines Beach of San Diego in U.S.A and is shown to be sufficiently accurate for describing their free surface elevation, pressure and water particle velocity time series. It is verified that the coastal waves can be regarded to have a microscopic structure making the KdV soliton elementary excitation.
3. Amplitude distribution of coastal waves : An approach is suggested to determine theoretically the amplitude distribution of shallow water waves under the maximum occurrence probability condition, in which the wave energy is assigned to each possible soliton in obedience to the way that is extremely liable to take place. The result derived through this approach is compared with field observations.
4. Coastal waves over a sloping bottom with dissipation : A shoaling soliton solution is derived by solving approximately the KdV equation perturbed by a sloping bottom with dissipation, and its deformation is investigated intensively.It is shown that the microscopic and macroscopic description can be made for the coastal waves over a sloping bottom with dissipation by treating the shoaling soliton as extended elementary excitationof the coastal waves. Less

Report

(2 results)
  • 1987 Final Research Report Summary
  • 1986 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] 土屋義人: 第33回海岸工学講演会論文集. 11-15 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 安田孝志: 第34回海岸工学講演会論文集. 616-620 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA,T.: Proc.of 20th Int.Conf.on Coastal Eng.,ASCE. 864-876 (1986)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA,T.: Coastal Hydrodynamics(Ed.R.A.Dalrymple,ASCE). 428-442 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA,T.: Caoastal Hydrodynamics(Ed.R.A.Dalrymple,ASCE). 751-764 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA,T.: Coastal Engineering.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA,T;Eds.K.HORIKAWA & H.MARUO;: "Energy distribution of shallow water swell under the maximum probability condition,in Nonlinear Water Waves" Springer-Verlag,Berlin, (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] TSUCHIYA,Y.: "Wave propagation in surf-zone and soliton modes" Proc. of 33rd Jap. Conf. on Coastal Eng., JSCE.11-15 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA,T.: "Macroscopic evaluation of coastal wave power absorbed to floating body" Proc. of 34th Jap. Conf. on Coastal Eng., JSCE. 616-620 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA, T.: "Grouping waves and their expression on asymptotic envelope soliton modes" Proc. of 20th Int. Conf. on Coastal Eng., ASCE. 864-876 (1986)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA, T.: "A practical method for long wave propagation" Coastal Hydrodynamics(Ed. R. A. Dalrymple, ASCE). 428-442 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA, T.: "Soliton mode representation for Kinematics of shallow water swell" Coastal Hydrodynamics(Ed. R. A. Dalrymple, ASCE). 751-764 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] YASUDA, T.: Energy distribution of shallow water swell under the maximum probability condition, in Nonlinear Water Waves(Eds. K. HORIKAWA & H. MARUO). Springer-Verlag, Berlin, (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1987 Final Research Report Summary
  • [Publications] 土屋義人: 第33回海岸工学講演会論文集. 11-15 (1986)

    • Related Report
      1986 Annual Research Report
  • [Publications] T.YASUDA: Journal of Geophysical Research.

    • Related Report
      1986 Annual Research Report
  • [Publications] T.YASUDA: Proc.of 20th Int.Conf.on Coastal Eng.,ASCE.

    • Related Report
      1986 Annual Research Report
  • [Publications] T.YASUDA: Nearshore Hydrodynamics,ASCE.

    • Related Report
      1986 Annual Research Report
  • [Publications] T.YASUDA: Nearshore Hydrodynamics,ASCE.

    • Related Report
      1986 Annual Research Report
  • [Publications] T.YASUDA: Proc.of Int.Union of Theoretical & Applied Mechanics.

    • Related Report
      1986 Annual Research Report

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Published: 1987-03-31   Modified: 2016-04-21  

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