Abstract
Linear water waves superimposed on an opposing current varying linearly down to a depth h are investigated. Fluxes of mass, momentum, and energy are calculated. Of main interest is the expression for the energy flux and its possible decomposition into terms in such a way that the contribution from wave energy is clearly shown. Such a decomposition would link the kinematic group-velocity concept to the dynamic concept of velocity of propagation of wave energy. We write the energy flux in a form that generalizes the simple expression found by Brink-Kjaer for the case of a linear current extending down to the bottom. In this expression the term corresponding to the group velocity appears quite naturally, as the energy flux of ‘pure wave energy’.
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