The talk deals with three-dimensional wave-current interactions. It is shown that the continuity
and momentum equations in the absence of surface waves can include waves after the addition of three-dimensional
radiation stress terms, a fairly simple alteration for numerical ocean circulation models. The velocity which
varies on time and space scales which are large compared to inverse wave frequency and wave number is denoted
by
and, by convention, is called the “current”. The “Stokes” drift is labeled
and the “mean” velocity is
.
When vertically integrated, the results here are in agreement with past literature.
Surface wind stress is empirical, but transfer of the stress into the water column is a function derived
in this paper. The wave energy equation is derived and terms, such as the advective wave velocity, are weighted
vertical integrals of the mean velocity. The wave action equation is not an appropriate substitute for the wave
energy equation when the mean velocity is depth dependent.
These results form the basis of a new wave model for interaction with circulation models such as the
Princeton Ocean Model.
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