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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2023.4
- 수록면
- 49 - 57 (9page)
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초록· 키워드
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Since Chappelear developed a Fourier approximation method, considerable research efforts have been made. On the other hand, Fourier approximations are unsuitable for deep water waves. The purpose of this study is to provide a Fourier approximation suitable even for deep water waves and a numerical method to determine the Fourier coefficients and the wave properties. In addition, the convergence of the solution was tested in terms of its order. This paper presents a velocity potential satisfying the Laplace equation and the bottom boundary condition (BBC) with a truncated Fourier series. Two wave profiles were derived by applying the potential to the kinematic free surface boundary condition (KFSBC) and the dynamic free surface boundary condition (DFSBC). A set of nonlinear equations was represented to determine the Fourier coefficients, which were derived so that the two profiles are identical at specified phases. The set of equations was solved using Newton’s method. This study proved that there is a limit to the series order, i.e., the maximum series order is N=12, and that there is a height limitation of this method which is slightly lower than the Michell theory. The reason why the other Fourier approximations are not suitable for deep water waves is discussed.
목차
ABSTRACT
1. Introduction
2. Complete Solution
3. The Fourier Coefficients and the Steepness
4. Wave Profile and Reference Depth Parameter
5. Numerical Analysis Procedure
6. Results
7. Conclusions
References
참고문헌 (14)
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
Dean, R. G. (1965). Stream function representation of nonlinear ocean waves. Journal of Geophysical Research, 70(18), 4561–4572. https://doi.org/10.1029/JZ070i018p04561
Dean, R. G. & Dalrymple, R. A. (1984). Water wave mechanics for engineers and scientists. Prentice-Hall, Inc.
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
Dean, R. G. (1965). Stream function representation of nonlinear ocean waves. Journal of Geophysical Research, 70(18), 4561–4572. https://doi.org/10.1029/JZ070i018p04561
Dean, R. G. & Dalrymple, R. A. (1984). Water wave mechanics for engineers and scientists. Prentice-Hall, Inc.
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