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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2022.4
- 수록면
- 101 - 107 (7page)
이용수
초록· 키워드
오류제보하기
Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories. There are well known wave theories with RMSE more than 1%, such as Airy theory, Stokes theory, Dean’s stream function theory, Fenton’s theory, and trochodial theory for deep-water waves. However, none of them can be applied for deep-water breaking waves. The purpose of this study is to provide a closed-form solution for deep-water waves with RMSE less than 1% even for breaking waves. This study is based on a previous study (Shin, 2016), and all flow fields were simplified for deep-water waves. For a closed-form solution, all Fourier series coefficients and all related parameters are presented with Newton’s polynomials, which were determined by curve fitting data (Shin, 2016). For verification, a wave in Miche’s limit was calculated, and, the profiles, velocities, and the accelerations were compared with those of 5<SUP>th</SUP>-order Stokes theory. The results give greater velocities and acceleration than 5<SUP>th</SUP>-order Stokes theory, and the wavelength depends on the wave height. The results satisfy the Laplace equation, bottom boundary condition (BBC), and KFSBC, while Stokes theory satisfies only the Laplace equation and BBC. RMSE in DFSBC less than 7.25×10<SUP>-2</SUP>% was obtained. The series order of the proposed method is three, but the series order of 5<SUP>th</SUP>-order Stokes theory is five. Nevertheless, this study provides less RMSE than 5<SUP>th</SUP>-order Stokes theory. As a result, the method is suitable for offshore structural design.
목차
ABSTRACT
1. Introduction
2. Coordinate Systems
3. Fourier Series Approximation
4. Wave Profile
5. Verification
6. Solution Method and Curve Fitting Results
7. Conclusions
References
참고문헌 (19)
참고문헌 신청
Chakrabarti, S.K. (1987). Hydrodynamics of Offshore Structures. London, UK: Computational Mechanics Publications.
Chaplin, J.R. (1979). Developments of Stream-Function Wave Theory. Journal of Coastal Engineering, 3, 179–205. https://doi.org/10.1016/0378-3839(79)90020-6
Chappelear, J.E. (1961). Direct Numerical Calculation of Wave Properties. Journal of Geophysical Research, 66(2), 501–508. https://doi.org/10.1029/JZ066i002p00501
Cokelet, E.D. (1977). Steep Gravity Waves in Water of Arbitrary Uniform Depth. Philosophical Transaction of the Royal Society of London, Series A, Mathematical and Physical Sciences, 286(1335), 183–230. https://doi.org/10.1098/rsta.1977.0113
De, S.C. (1955). Contributions to the Theory of Stokes Waves. Proceedings of the Cambridge Philosophical Society, 51, 713–736.
Chaplin, J.R. (1979). Developments of Stream-Function Wave Theory. Journal of Coastal Engineering, 3, 179–205. https://doi.org/10.1016/0378-3839(79)90020-6
Chappelear, J.E. (1961). Direct Numerical Calculation of Wave Properties. Journal of Geophysical Research, 66(2), 501–508. https://doi.org/10.1029/JZ066i002p00501
Cokelet, E.D. (1977). Steep Gravity Waves in Water of Arbitrary Uniform Depth. Philosophical Transaction of the Royal Society of London, Series A, Mathematical and Physical Sciences, 286(1335), 183–230. https://doi.org/10.1098/rsta.1977.0113
De, S.C. (1955). Contributions to the Theory of Stokes Waves. Proceedings of the Cambridge Philosophical Society, 51, 713–736.
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