PiersonMoskowitz Class Reference

Pierson-Moskowitz wave spectrum. This spectrum has the following form: More...

Detailed Description

Pierson-Moskowitz wave spectrum. This spectrum has the following form:

\[ S(\omega) = \frac{\alpha g^2}{\omega^5} \exp \left(- \beta \left( \frac{\omega_0}{\omega} \right)^4 \right) \]

$ \omega $ = angular frequency [rad/s], equal to $2 \pi f$
$ f $ = frequency [Hz]
$ S(\omega) $ = spectral density [m^2/Hz]
$ \alpha $ = coefficient, equal to 8.1e3
$ \beta $ = coefficient, equal to 0.74
$ \omega_0 $ = reference angular frequency, equal to $g/U_{19.5}$
$ U_{19.5} $ = reference velocity magnitude, 19.5 metres above the sea surface

References: 

        Pierson Jr, W. J., & Moskowitz, L. (1964).
        A proposed spectral form for fully developed wind seas based on the  similarity theory of SA Kitaigorodskii.
        Journal of geophysical research, 69(24), 5181-5190.
        Stewart, R. H. (2008).
        Introduction to physical oceanography.
        Robert H. Stewart.
Usage
Property Description Required? Default
U19_5 The air speed 19.5 metres above the surface [m/s] yes

Example specification: 

    spectrum    PiersonMoskowitz;

    PiersonMoskowitzCoeffs
    {
        U19_5       15;
    }
Source files
The documentation for this class was generated from the following file: