Nonlinear interfacial wave formation in three dimensions

摘要: A three-dimensional two-layer, fully dispersive and strongly nonlinear interfacial wave model, including the interaction with a time-varying bottom topography, is developed. The method based on set of integral equations. source dipole terms are developed in series expansions vertical excursions interface obtaining explicit inversion by Fourier transform. Calculations waves comparable to thinner layer depth show that quadratic approximation contains essential dynamics, while additional cubic always small. Computations confirm onset train formation driven observed experiments (Maxworthy, J. Geophys. Res., vol. 84(C1), 1979, pp. 338–346), depending Froude number topography height. Simulations tidally internal two trains per half tidal cycle for strong forcing one weak forcing. Waves both backward forward curvature calculated.