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Estimate of Wave Overtopping Rate on Vertical Wall Using FUNWAVE-TVD Model

FUNWAVE-TVD 모델을 이용한 직립구조물의 월파량 산정

  • Kwak, Moon Su (Department of Civil Engineering, Myongji College) ;
  • Kobayashi, Nobuhisa (Department of Civil and Environmental Engineering, University of Delaware)
  • Received : 2021.11.11
  • Accepted : 2021.12.13
  • Published : 2021.12.31

Abstract

This study established a numerical model capable of calculating the wave overtopping rate of coastal structures by nonlinear irregular waves using the FUNWAVE-TVD model, a fully nonlinear Boussinesq equation model. Here, a numerical model was established by coding the mean value approach equations of EurOtop (2018) and empirical formula by Goda (2009), and adding them as subroutines of the FUNWAVE-TVD model. The verification of the model was performed by numerically calculating the wave overtopping rate of nonlinear irregular waves on vertical wall structures and comparing them with the experimental results presented in EurOtop (2018). As a result of the verification, the numerical calculation result according to the EurOtop equation of this model was very well matched with the experimental result in all relative freeboard (Rc/Hmo) range under non-impulsive wave conditions, and the numerical calculation result of empirical formula was evaluated slightly smaller than the experimental result in Rc/Hmo < 0.8 and slightly larger than the experimental result in Rc/Hmo > 0.8. The results of this model were well represented in both the exponential curve and the power curve under impulsive wave conditions. Therefore, it was confirmed that this numerical model can simulate the wave overtopping rate caused by nonlinear irregular waves in an vertical wall structure.

본 연구는 완전비선형 Boussinesq 방정식 모델인 FUNWAVE-TVD 모델을 이용하여 비선형 불규칙파에 의한 해안구조물의 월파량을 산정할 수 있는 수치모형을 수립한 것이다. 여기서는 EurOtop(2018)의 월파량 산정 식 및 Goda(2009)의 경험식을 코딩하여 FUNWAVE-TVD 모델의 서브루틴으로 추가하고 수치모형을 수립하였다. 모형의 검증은 직립구조물에 대한 비선형 불규칙파의 월파량을 수치계산하고 EurOtop(2018)에 제시된 실험 결과와 비교하여 수행하였다. EurOtop 식에 의한 수치계산 결과는 비쇄파 조건의 경우 모든 상대여유고(Rc/Hmo) 구간에서 실험결과와 매우 잘 일치하였으며, 경험식에 의한 수치계산 결과는 Rc/Hmo < 0.8 구간에서는 실험 결과보다 과소평가 되었고 Rc/Hmo < 0.8의 구간에서는 실험 결과보다 과대평가 되었다. 쇄파조건의 경우 본 모형의 결과는 Rc/Hmo ≤ 1.35의 exponential curve나 Rc/Hmo > 1.35의 power curve 구간 모두에서 실험 결과를 잘 재현하였다. 따라서 본 수치모형은 직립구조형식의 호안구조물에서 비선형 불규칙파에 의한 월파량을 정도 높게 모의할 수 있음을 확인하였다.

Keywords

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