Statistics of wave groups measured in the northern North Sea: comparisons between time series and spectral predictions

Three-Dimensional Imaging of the High Sea-State Wave Field Encompassing Ship Slamming Events

“…The occurrence of wave grouping is an acknowledged phenomenon, the statistics of which have been the subject of extensive analytic modeling (e.g., Longuet-Higgins 1984) and ocean-based statistical studies (e.g., Stansell et al 2002). In the present study, it has been observed that wave groups are a significant factor in the generation of ship wave slamming.…”

Towards an improved critical wave groups method for the probabilistic assessment of large ship motions in irregular seas

“…Thus, 31 stochastic components were kept in the formula given by Eq. (8). From figure 4, the error resulting from this truncation is approximately 2%.…”

“…Moreover, the correlation parameters involved in the proposed distribution laws were estimated from the simulated time-series. Kimura's study has found keen supporters (e.g., Battjes and van Vledder [6], Sobey [7], Stansell, et al [8]). Battjes and van Vledder [6] proposed a formula for the estimation of the correlation parameter for successive wave heights, based on Rice's theory for envelope statistics [9,10].…”

“…Battjes and van Vledder [6] proposed a formula for the estimation of the correlation parameter for successive wave heights, based on Rice's theory for envelope statistics [9,10]. Van Vledder [11] proposed later an improved calculation of this parameter which was found to provide satisfactory predictions for wave group statistics in the case of sufficiently narrow-banded spectral density forms [8]. Despite the remarkable progress that has been achieved for the "wave height Markov chain", little attention has been paid, hitherto, on the corresponding wave periods.…”

Formation of Large-Amplitude Wave Groups in an Experimental Model Basin

“…Neither spectral method is able to fully describe the groupiness characteristics of a given wave-field (Masson and Chandler, 1993). However, recent analysis of environmental data from the North Sea has shown the ability of a Markov chain model to better predict wave group properties than a Rayleigh distribution model, except for large wave heights (Stansell, et al, 2002). Because of the Gaussian assumption, application of both envelope and Markov theory may be limited for realistic extreme waves and extreme wave groups.…”