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Some probabilistic properties of surf parameter

Myrhaug Dag

Oceanologia

2020

No. 62 (3)

395--401

This article is supplementary to Myrhaug (2018) and presents some probabilistic properties of the surf parameter for individual waves and the spectral surf parameter for sea states by using distributions based on data from the Norwegian continental shelf. The average statistical features given by the mean value and the standard deviation of the two surf parameters are considered. Examples of results for the surf parameter are provided for a Phillips spectrum and a family of JONSWAP spectra for wind sea, and for sea states using a joint frequency table of significant wave height and mean zero-crossing wave period for combined wind sea and swell. The spectral surf parameter results are obtained by using a joint distribution of significant wave height and spectral surf parameter, and the mean statistical properties are given for joint frequency tables of significant wave height and mean zero-crossing wave period from three deep water locations on the Norwegian continental shelf. It is also demonstrated how the results can be applied to calculate the vertical wave runup elevation for breaking waves.

Addendum to “Stokes transport in layers in the water column based on long-term wind statistics : assessment using long-term wave statistics”

Myrhaug Dag, Wang Hong, Holmedal Lars Erik

Oceanologia

2019

No. 61 (4)

522--526

This article addresses the Stokes drift in layers in the water column for deep water random waves based on wave statistics in terms of the sea state wave parameters significant wave height and mean zero-crossing wave period. This is exemplified by using long-term wave statistics from the North Atlantic, and is supplementary to Myrhaug et al. (2018) presenting similar results based on long-term wind statistics from the same ocean area. Overall, it appears that the results based on long-term wave statistics and long-term wind statistics are consistent. The simple analytical tool provided here is useful for estimating the wave-induced drift in layers in the water column relevant for the assessment of the transport of, for example, marine litter in the ocean based on, for example, global wave statistics.

Some probabilistic properties of deep water wave steepness

Myrhaug D.

Oceanologia

2018

No. 60 (2)

187--192

This paper provides some probabilistic properties of the deep water wave steepness and the spectral wave steepness by using distributions based on data from the Norwegian continental shelf. Here the average statistical properties represented by the mean value and the standard deviation of the two steepness parameters are considered. Examples of results for the wave steepness are given for a Phillips spectrum and a family of JONSWAP spectra for wind sea, and for sea states described by a joint frequency table of significant wave height and mean zero-crossing wave period for combined wind sea and swell. The results for the spectral wave steepness are obtained by using a joint distribution of significant wave height and spectral wave steepness, and the average statistical features are given for joint frequency tables of significant wave height and mean zero-crossing wave period from three locations on the Norwegian continental shelf.