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A consistent derivation of the wave-energy equation from basic hydrodynamic principles
Authors:Andreas?Malcherek  author-information"  >  author-information__contact u-icon-before"  >  mailto:malcherek@hamburg.baw.de"   title="  malcherek@hamburg.baw.de"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Federal Waterways Engineering and Research Institute (BAW), Coastal Department, Wedeler Landstr. 157, 22559 Hamburg, Germany
Abstract:Based on a decomposition of the velocity into mean flow, turbulent and wave components, momentum and hereafter a wave-energy equation is derived. It contains a turbulent energy dissipation term which is closed by applying a wave-related mixing length model and linear wave theory solutions. This closure produces a non-linear turbulent wave-energy dissipation including the wave energy in a 5/2 power law. The theory is able to predict correctly the shape of deep-water wave spectra according to Phillips' similarity law.Responsible Editor: Hans Burchard
Keywords:Wave energy spectrum  Wave energy dissipation  Reynolds decomposition
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