Adrian Matei edited observations.tex  about 10 years ago

Commit id: 02ee950e8de6eda376de3757417082c1757de17a

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Conditions that maximize the effect of swells are weak to moderate wind at sea surface, waves (swells) are usually coming from the south \cite{Callaghan_Deane_Stokes_Ward_2012}, and low frequency waves (around 0.1 Hz). A good way to estimate the effect of swells would be to observe them after the storm passes, during post-storm lower winds. We can perform this by using the wind speed ship data and Wave Rider data. \par  As discussed above, wave energy dissipation is a determinant factor of whitecap production. Going to the direct relation between whitecap coverage and bubble plumes, wave energy dissipation can be considered as a function of bubble plumes depth. Significant bubble plumes depth translates into large magnitude wave energy dissipation. We must include the whole environmental set when it comes to wave energy dissipation. Therefore, we must consider wind speed, wave frequency and wave height. On the open ocean, winds faster than waves extract energy from the waves by reducing their height, enlarging their slope (having higher frequency), and, thus, leading to wave energy dissipation. The presence of this phenomena sustaines a strong correlation between bubble plumes depth and wave state. Accounting for the fact that wave energy dissipation is proportional to wind speed and bubble plume depth, and inversely proportional to wave amplitude and wave speed (wave phase velocity), we can infer that whitecaps have the same properties. We can show this through the following relation:   \begin {equation}  \epsilon = \frac{u {d}_{bp}}{a c}, \frac{{u}_{\ast}{d}_{bp}}{{a}_{w} c}},  \end{equation}