Pierson-Moskowitz Wave

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Pierson-Moskowitz Wave

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Theory

Pierson and Moskowitz (1964) developed a spectral formulation for a fully developed seastate. The fetch and duration are considered infinitely large (measured data from the North Atlantic was used during the development of the spectral formulation), so that the wind must be of relatively constant speed over a relatively large area for the underlying assumptions to remain valid. The Pierson-Moskowitz spectrum is based on the following formulation:

       (1)

where:

f is the wave frequency in Hertz

Hs is the significant wave height

Tz is the mean zero up-crossing period

 

Specification Options

Flexcom offers a choice of formats for defining a Pierson-Moskowitz wave spectrum. The standard or default option is in terms of significant wave height Hs and mean zero up-crossing period Tz as per the Equation above. Alternatively, you can define the spectrum in terms of Hs and Tp, where Tp is the spectrum peak period. In this case, Tp is converted internally to Tz using the relationship:

 

Relevant Keywords

*WAVE-PIERSON-MOSKOWITZ is used to specify a Pierson-Moskowitz random sea wave spectrum or spectra.

If you would like to see an example of how this keyword is used in practice, refer to B01 - Steel Catenary Riser.