Theoretical Analysis and Application for Waves Propogating over Poros Sea Bottom Using Wwmiii

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Project title

Code/計畫編號

MOST109-2221-E019-030

Translated Name/計畫中文名

WWMIII 通過透水底床之理事解析與應用

Project Coordinator/計畫主持人

Tai-Wen Hsu

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Center of Excellence for Ocean Engineering

Website

https://www.grb.gov.tw/search/planDetail?id=13540394

Year

2020

Start date/計畫起

01-08-2020

Expected Completion/計畫迄

31-07-2021

Co-Investigator(s)

Chia-Cheng Tsai

Bugetid/研究經費

1455千元

ResearchField/研究領域

土木水利工程

本計畫應用波動理論探討波浪通過透水底床之物理現象。將理論獲得之解析解，進一步擴展至風浪模式(wind wave model, WWM)之數值模式研發與應用。在解析方法上，本計畫使用水深積分方程式，推導波浪透過透水介質之緩坡方程式(mild-slope equation, MSE)，並從MSE的虛部求得波浪作用力方程式(wave action equation, WAE)。所推導之WAE包含能量消散項和紊流摩擦項之函數，兩者均為顯函數。顯函數包含透水底床之參數，並可將此兩項函數在WWM中與一個權重係數代表，與Hsu et al.(2018)之WWM中使用之能量權重係數更具實際意義。本計畫成果擴展至WWM在經過透水海床或透水結構物之風浪預報，在學術上具模式研發之創新性，在海洋、海岸工程實務上具實用價值。 The phase-averaged wave action equation (WAE) is extended to incorporate the effect of submerged porous media. The wave dissipation coefficient as well as the coefficient of turbulent flow are in terms of an energy weighting coefficient. This energy weighting factor is obtained from an explicit analytical solution including the key parameters of hydraulic parameter, the porosity, the initial coefficient and virtual mass coefficient. The major difference between the present study and Hsu et al.’ (2018) extended WWM model incorporating the effect of the submerged porous media lies in the point that the derived energy weighting factor coefficient can be directly calculated in the WWM without any try and error method to get a suitable value. This important approach makes WWM applicable and useful in the wind wave prediction for waves propagating porous sea bottom and structures. Depth averaged method is used to derive WAE for the case of wind wave traveling over porous media. The success of this proposal will be academic innovation and engineering practice.

Keyword(s)

波浪作用力方程式
風浪模式(WWM)
透水介質
能量消散
能量權重係數
wave action equation
wind wave model (WWM)
porous media
energy dissipation
energy dissipation

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Theoretical Analysis and Application for Waves Propogating over Poros Sea Bottom Using Wwmiii

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