Efficient computational method for joint distributions of heights and periods of nonlinear ocean waves
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
This paper proposes a novel method for efficient prediction of joint distributions of heights and periods of nonlinear ocean waves. The proposed novel method utilizes a transformed linear simulation which is based on a Hermite transformation model where the transformation is chosen to be a monotonic cubic polynomial, calibrated such that the first four moments of the transformed model match the moments of the true process. This proposed novel method is utilized to predict the joint distributions of wave heights and periods of a sea state with the surface elevation data measured at the Gulfaks C platform in the North Sea, and the novel method's accuracy and efficiency are favorably validated by using comparisons with the results from an empirical joint distribution model, from a linear simulation model and from a second-order nonlinear simulation model.
Abstract
This paper proposes a novel method for efficient prediction of joint distributions of heights and periods of nonlinear ocean waves. The proposed novel method utilizes a transformed linear simulation which is based on a Hermite transformation model where the transformation is chosen to be a monotonic cubic polynomial, calibrated such that the first four moments of the transformed model match the moments of the true process. This proposed novel method is utilized to predict the joint distributions of wave heights and periods of a sea state with the surface elevation data measured at the Gulfaks C platform in the North Sea, and the novel method's accuracy and efficiency are favorably validated by using comparisons with the results from an empirical joint distribution model, from a linear simulation model and from a second-order nonlinear simulation model.
참고문헌 (17)
- Cavanie, A., "A statistical relationship between individual heights and periods of storm waves", Proceedings of the Behavior of Offshore Structures(BOSS), pp.354~363 (1976)
- Hasselmann, K., "On the non-linear energy transfer in a gravity-wave spectrum, Part 1, General Theory", J. Fluid Mech, 12, pp.481~500 (1962)
- Langley, R. S., "A statistical analysis of non-linear random waves", Ocean Eng, 14(5), pp.389~407 (1987)
- Lindgren, G., "Wave characteristics distributions for Gaussian waves e wave length, amplitude and steepness", Ocean Eng, 9, pp.411~432 (1982)
- Liu, D. Y., "An experimental study of weakly three-dimensional non-breaking and breaking waves", Eur. J. Mech. B Fluid, 52, pp.206~216 (2015)
- Liu, D. Y., "Detuning and wave breaking during nonlinear surface wave focusing", Ocean Eng, 113, pp.215~223 (2016)
- Longuet-Higgins, M. S., "On the joint distribution of the periods and amplitudes of sea waves", J. Geophys. Res, 80(18), pp.2688~2694 (1975)
- Longuet-Higgins, M. S., "On the joint distribution of wave periods and amplitudes in a randomwave field", Proc. R. Soc. A-Math. Phys. Eng. Sci, 389, pp.241~258 (1983)
- Ma, Y. X., "Laboratory study of unidirectional focusing waves in intermediate depth water", J. Eng. Mech-ASCE, 136(1), pp.78~90 (2010)
- Ochi, M. K., "Ocean Waves, the Stochastic Approach" (2005), Cambridge University Press
- Perlin, M., "Breaking waves in deep and intermediate waters", Annu. Rev. Fluid Mech, 45, pp.115~145 (2013)
- Rodríguez, G. R., "The bivariate distribution of wave heights and periods in mixed sea states", J. Offshore Mech. Arct. Eng. Trans. ASME, 121(2), pp.102~108 (1999)
- Rodríguez, G. R., "On the joint distribution of wave heights and periods : the role of the spectral bandwidth", J. Offshore Mech. Arct. Eng. Trans. ASME, 121(3), pp.187~193 (1999)
- Stansell, P., "Improved joint probability distribution for ocean wave heights and periods", J. Fluid Mech, 503, pp.273~297 (2004)
- Toffoli, A., "Wave statistics in unimodal and bimodal seas from a second-order model", Eur. J. Mech. B Fluid, 25, pp.649~661 (2006)
- Wang, Y. G., "Calculating crest statistics of shallow water nonlinear waves based on standard spectra and measured data at the Poseidon platform", Ocean Eng, 87, pp.16~24 (2014)
- Wang, Y. G., "Simulating mixed sea state waves for marine design", Appl. Ocean Res, 37, pp.33~44 (2012)