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

Published online by Cambridge University Press:  26 April 2006

S. L. Weber
S. L. Weber
Affiliation:
Royal Netherlands Meteorological Institute, P.O. Box 201, 3730 AE De Bilt, The Netherlands
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 232 , November 1991 , pp. 73 - 98
Copyright
© 1991 Cambridge University Press

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