Nonlinear interaction of internal waves in the coastal zone of the Sea of Japan

Fourier spectrum and shape evolution of an internal Riemann wave of moderate amplitude

“…Their evolution leads to wave breaking and the formation of hydraulic lumps or bore-like pulses with different decay rates depending on the modal number. This nonlinear process influences the modal and spectral distribution of the internal wave field (Yermakov and Pelinovsky, 1975;Filonov and Novotryasov, 2007;Novotryasov and Karnaukhov, 2009).…”

The Application of the Generalized Differential Formulation of the First Law of Thermodynamics for Evidence of the Tidal Mechanism of Maintenance of the Energy and Viscous-Thermal Dissipative Turbulent Structure of the Mesoscale Oceanic Eddies

“…Thus, the calculated dependences (which have the more distinct differences between the calculated distributions in the range of depth 500 ÷ 1400 m of the eddy core for Figure 7(a), below the depth of near 300 m at the edge of the eddy for Figure 7(b) and below the depth of near 500 m in the frontal zone for Figure 7(c)) give the obvious evidence (for three regions subjected to the influence of the observed eddy) that the semidiurnal baroclinic internal tide [29] (generated by the semidiurnal barotropic tidal current over the two-dimensional bottom topography [23]) is the significant energy source of maintenance of the eddy energy and viscous-thermal dissipative structure of turbulence [38] (produced by the breaking internal gravity waves [30] [36] [37] generated by the eddy [22] [32] [34] [35] due to the shear instability [33]) in three regions (the eddy core (Figure 7(a)), the edge of the eddy (Figure 7(b)) and the frontal zone ( Figure 7(c))) near the Yamato Rise subjected to the observed mesoscale eddy.…”

“…Based on the evolution equation (18) (30)) that the semidiurnal baroclinic internal tide (generated by the semidiurnal barotropic tidal current over the nearly two-dimensional bottom topography [23] in the Japan Sea [29] near the Yamato Rise) is the significant energy source of maintenance of the eddy energy…”

“…The existence of the internal gravity waves is confirmed (based on our statistical analysis of the temperature fluctuations given in Section 4) by the computed spatial spectra powers are available to transform from the semidiurnal baroclinic internal tide [29] to the mechanical energy of the eddy structure [22], the generation of internal gravity waves [35] and the established energy of the internal gravity wave-eddy coupling [34].…”

“…According to the statistical analysis of the temperature variations (based on the empirical orthogonal functions [29]) at different depths throughout the water column near the shelf boundary of the Japan Sea, the baroclinic (internal) tide of the semidiurnal time period 12.4 hr T = is the predominant component of the internal tide in the Japan Sea.…”