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Ocean motions at frequencies of the internal wave band are generallyassociated with freely propagating waves that are supported by stable verticalstratification in density. Previous analyses of yearlong current observationsfrom the Bay of Biscay showed that a finestructure of semidiurnal tidal andnear-inertial higher harmonics fills the spectrum. Here, a simple model ispresented of forced nondispersive motions with forward energy cascade. Themodel fits the spectral shape of higher harmonics well within statisticalsignificance and shows that such interactions imply maximum wave steepness in abalance between forcing and turbulent mixing. The single fitting parameter isrelated to the barotropic tidal flow speed, which thereby sets a nonlinearlimit to baroclinic current scales without generating non-linear higherharmonics directly.

A simple model for an internal wave spectrum dominated by non-linear interactions