수정 FUNWAVE-TVD 수치모형을 이용한 파랑변형
Wave Transformation using Modified FUNWAVE-TVD Numerical Model
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참고문헌
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초록
기존 FUNWAVE-TVD 버전 2.1 모형을 수정한 본 모형의 검증을 위해 고립파 실험, Vincent and Briggs(1989)의 비쇄파 및 쇄파 실험, Luth et al. (1994)의 수리실험을 수행하였다. 쇄파 실험의 경우 기존 결과와 비교하기 위하여 eddy viscosity를 이용한 쇄파 방법도 포함하였다. Eddy viscosity 쇄파 방법을 이용하여 Vincent and Briggs(1989)의 쇄파 실험에 적용한 결과 수정된 모형에서는 수중천퇴 중심의 y축을 기준으로 파랑류(waveinduced current)의 대칭성이 유지되었으나 FUNWAVE-TVD 버전 2.1 모형에서는 대칭성이 유지되지 않았다. 또한 eddy viscosity 쇄파 방법을 이용한 경우가 천수방정식으로 전환하여 쇄파를 모의하는 방법보다 관측치에 더가깝다. 그리고 FUNWAVE-TVD 버전 2.1 모형에 사용한 기법들과 비교하기 위하여 Erduran et al.(2005)이 제시한 4차 정확도의 MUSCL-TVD 기법과 minmod limiter를 이용한 3차 정확도의 기법을 적용하여 고립파의 전파양상을 비교·검토하였다.
Abstract
The present modified FUNWAVE-TVD model, which is a modification to its previous version 2.1, is applied to solitary wave propagation and is tested against the experiments of Vincent and Briggs(1989) and Luth et al.(1994). The eddy viscosity breaking scheme is used for comparison with the existing study in the case of breaking experiment. The symmetry of wave-induced current is maintained when the modified model is employed to Vincent and Briggs(1989) breaking experiment, but the symmetry of wave-induced current in previous model is not maintained. A better agreement with the breaking experimental data is obtained in the modified model using eddy viscosity breaking scheme than the shock capturing breaking scheme using nonlinear shallow water equation. For comparison with the schemes in the model, the fourth order MUSCL-TVD scheme by Erduran et al.(2005) and the third order MUSCL-TVD scheme using minmod limiter is applied, and the numerical solutions of solitary wave are compared.
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