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. 2006 May 17;103(22):8337–8341. doi: 10.1073/pnas.0508379103

Table 1.

Formulation for wave generation and dissipation (11)

Process Formula Variable
Wind generation
graphic file with name zpq02206-2349-m03.jpg
k: wave number;
σ = 2π/T (T = wave period);
ρa: air density;
ρw: water density;
cd ≅ 0.0012 drag coefficient;
U: the wind speed in m/s;
f: wave frequency (f = 1/T);
δ: angle between wind and wave vector;
c = σ/k wave celerity
Bottom friction
graphic file with name zpq02206-2349-m04.jpg
H: significant wave height;
Y: water depth;
cbf = 0.015
White capping
graphic file with name zpq02206-2349-m05.jpg
γ integral wave-steepness parameter, (γ = Eσ4/g2);
γPM = 4.57 × 10−3: theoretical value of γ for a Pearson–Moskowitz spectrum;
    cwc = 3.33 × 10−5
Breaking
graphic file with name zpq02206-2349-m06.jpg
Hmax = 0.78 Y, maximum wave height;
    Qb: breaking probability
Wave-induced bottom shear stress
graphic file with name zpq02206-2349-m07.jpg
D50 = 20-μm median grain diameter