Eddy-viscosity and drag-law models for random ocean wave dissipation

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Abstract
The spectral energy dissipation of finite-depth ocean waves, due to friction in the turbulent bottom boundary layer, is investigated using a formal parameterization of the turbulent stress. This formal parameterization is a generalization from both the eddy-viscosity model and the drag law. The eddy-viscosity model is linear in the random wave phase, whereas the drag law is nonlinear. The phase dependency of the stress is found to determine the form of the dissipation expression. A spectral eddy-viscosity model developed by the author, an eddy-viscosity model based on an ‘equivalent’ monochromatic wave given by Madsen et al. (1989), the drag law as applied by Hasselmann & Collins (1968) and an approximation to the Hasselmann & Collins expression given by Collins (1972) are discussed within the framework of the formal parameterization. Some examples of applications are given.
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