General description

The source function describing the dissipation due to white-capping is based on the theory of Hasselmann (1974). With the introduction of Janssens (1989) description of wind input, it was realized that the dissipation source function needs to be adjusted in order to obtain a proper balance between the wind input and the dissipation at high frequencies.

For the fully spectral formulation the source function is given by

(6.15)   FemInputEditorSW_dialogs00064.jpg

where Cds (Cdis) and d (DELTAdis) are two dispersion coefficients. The mean angular frequency, FemInputEditorSW_dialogs00066.jpg, and the mean wave number, FemInputEditorSW_dialogs00068.jpg, are calculated as fol­lows

(6.16)   FemInputEditorSW_dialogs00070.jpg

(6.17)   FemInputEditorSW_dialogs00072.jpg

where FemInputEditorSW_dialogs00074.jpg and pk are mean angular frequency power and the mean wave number power. Janssen (See Komen et. al (1994)) proposed to use the fol­lowing values: Cds= 4.5, d= 0.5 and FemInputEditorSW_dialogs00076.jpg.

To improve the the whitecapping for wave conditions with a combination of wind-sea and swell Bidlot et. al 2007 proposed a revised formulation of white­capping. Here eq. (6.15) is still applied but the mean relative angular fre­quency and the mean wave number are calculated using FemInputEditorSW_dialogs00078.jpg and the default values for Cds and d are changed to 2.1 and 0.6, respectively.