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Numerical Analysis of Nonlinear Shoaling Process of Random Waves - Centered on the Evolution of Wave Height Distribution at the Varying Stages of Shoaling Process

불규칙 파랑 비선형 천수 과정 수치해석 - 천수 단계별 파고분포 변화를 중심으로

  • Kim, Yong Hee (Department of Civil Engineering, University of Seoul) ;
  • Cho, Yong Jun (Department of Civil Engineering, University of Seoul)
  • 김용희 (서울시립대학교 토목공학과) ;
  • 조용준 (서울시립대학교 토목공학과)
  • Received : 2020.03.21
  • Accepted : 2020.04.22
  • Published : 2020.04.29

Abstract

In order to make harbor outskirt facilities robust using the reliability-based design, probabilistic models of wave heights at varying stage of shoaling process optimized for Korean sea waves are prerequisite. In this rationale, we numerically simulate the nonlinear shoaling process of random waves over the beach with a sandbar at its foreshore. In doing so, comprehensive numerical models made of spatially filtered Navier-Stokes Eq., LES [Large Eddy Simulation], dynamic Smagorinsky turbulence closure were used. Considering the characteristics of swells observed at the east coast of Korean Peninsula, random waves were simulated using JONSWAP wave spectrum of various peak enhancement coefficients and random phase method. The coefficients of probabilistic models proposed in this study are estimated from the results of frequency analysis of wave crests and its associated trough detected by Wave by Wave Analysis of the time series of numerically simulated free surface displacements based on the threshold crossing method. Numerical results show that Modified Glukhovskiy wave height distribution, the most referred probabilistic models at finite water depth in the literature, over-predicts the occurring probability of relatively large and small wave heights, and under predicts the occurrence rate of waves of moderate heights. On the other hand, probabilistic models developed in this study show vary encouraging agreements. In addition, the discrepancy of the Modified Glukhovskiy distribution from the measured one are most visible over the surf zone, and as a result, the Modified Glukhovskiy distribution should be applied with caution for the reliability-based design of harbor outskirt facilities deployed near the surf-zone.

항 외곽시설 신뢰성 설계가 합리적으로 구현하기 위해서는 우리나라 해양환경 특성이 반영된 확률모형이 필요하며 이러한 시각에서 본 연구에서는 천 해역 확률모형 개발을 위한 기초연구의 일부로 불규칙 파랑 천수 과정을 수치 모의하였다. 수치 모의는 자연해안에서 흔히 관측되는 사주가 원빈에 형성된 해안을 대상으로 수행하였으며 파랑모형은 spatially filtered Navier-Stokes Eq., LES[Large Eddy Simulation], one equation dynamic Smagorinsky turbulence closure 등으로 구성하였다. 불규칙 파랑은 우리나라 동해안에서 관측되는 너울 특성을 반영하기 위해 다양한 첨두 증강계수를 지니는 JONSWAP 스펙트럼과 random phase method를 사용하여 모의하였다. 파고분포의 모수는 먼저 수치 모의에서 관측된 자유수면 시계열 자료를 threshold crossing method로 파별 해석[wave by wave analysis]하여 개별 파랑을 특정하고, 이어 이렇게 특정된 파마루와 파곡 빈도 해석결과로부터 산출하였다. 모의결과 현재 천 해역 파고분포를 대표하는 수정 Glukhovskiy 파고분포는 큰 파고와 작은 파고 발생확률은 과다하게, 중간 크기 파고 발생확률은 과소하게 평가하는 것으로 모의 되었으며, 이에 반해 본 논문에서 제시된 파고분포의 경우 일치도가 상당하였다. 또한, 전술한 수정 Glukhovskiy 파고분포와의 간극은 쇄파역에서 제일 현저하게 관측되어 수정 Glukhovskiy 파고분포를 쇄파역 언저리에 거치되는 외곽시설 신뢰성 설계에 적용하는 일은 지양되어야 할 것으로 판단된다.

Keywords

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