Performance of a Saturation-Based Dissipation-Rate Source Term in Modeling the Fetch-Limited Evolution of Wind Waves

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Wave breaking onset and strength for two-dimensional deep-water wave groups (2007, background): “Alves & Banner (2003) attempted to encapsulate the breaking contribution parametrically in a spectral dissipation source term premised on a breaking threshold that uses the spectral saturation as a surrogate for δ.”
Numerical Wave Modeling in Conditions with Strong Currents: Dissipation, Refraction, and Relative Wind. J (2012, methodology): “After several failed attempts (e.g., van Vledder and Hurdle 2002; Alves et al. 2003), parameterizations based on this saturation idea (van der Westhuysen et al. 2005; Ardhuin et al. 2009) have now shown a clear advantage over the linear parameterizations based on the statistical theory by…”
Observation-Consistent Input and Whitecapping Dissipation in a Model for Wind-Generated Surface Waves: Description and Simple Calculations (2012, methodology): “The reader is referred to the concise summary of scaling arguments by KHH and the issue is discussed in greater detail by Alves et al. (2003).”
Semiempirical Dissipation Source Functions for Ocean Waves. Part I: Definition, Calibration, and Validation (2009, methodology): “(5) From this, they defined the source function Soc,WZB (f, θ) = −C √ gk [ B(f) Br ]p/2 , (6) where C is a positive constant, Br is a constant saturation threshold and and p is a coefficient that varies both with the wind friction velocity u⋆ and the degree of saturation B(f)/Br with, in particular,”