论文部分内容阅读
In this study, an analysis on the internal wave generation via the gravity collapse mechanism is carried out based on thetheoretical formulation and the numerical simulation. With the linear theoretical model, a rectangle shape wave is generated andpropagates back and forth in the domain, while a two-dimensional non-hydrostatic numerical model could reproduce all the observedphenomena in the laboratory experiments conducted by Chen et al. (2007), and the related process realistically. The model resultsfurther provide more quantitative information in the whole domain, thus allowing an in depth understanding of the correspondinginternal solitary wave generation and propagation. It is shown that the initial type of the internal wave is determined by the relativeheight between the perturbation and the environmental density interface, while the final wave type is related to the relative height ofthe upper and lower layers of the environmental fluid. The shape of the internal wave generated is consistent with that predicted bythe KdV and EKdV theories if its amplitude is small, as the amplitude becomes larger, the performance of the EKdV becomes betterafter the wave adjusts itself to the ambient stratification and reaches an equilibrium state between the nonlinear and dispersion effects.The evolution of the mechanical energy is also analyzed.
In this study, an analysis on the internal wave generation is based on the optical formulation and the numerical simulation. With the linear theoretical model, a rectangular shape wave is generated and propagates back and forth in the domain, while a two-dimensional non-hydrostatic numerical model could reproduce all the observedphenomena in the laboratory experiments conducted by Chen et al. (2007), and the related process realistically. The model resultsfurther provide more quantitative information in the whole domain, thus permit an in depth understanding of the corresponding internal solitary wave generation and propagation. It is shown that the initial type of the internal wave is determined by the relative between the perturbation and the environmental density interface, while the final wave type is related to the relative height of the upper and lower layers of the environmental fluid. The shape of the internal wave generated is consistent with that predicted by the KdV and EKdV theories if its amplitude is small, as the amplitude becomes larger, the performance of the EKdV became betterafter the wave adjusts itself to the ambient stratification and reaches an equilibrium state between the nonlinear and dispersion effects. evolution of the mechanical energy is also analyzed.