In a two-dimensional and linear framework, a transformation was developed to derive eigensolutions of internal waves over a subcritical hyperbolic slope and to approximate the continental slope and shelf. The transfor...In a two-dimensional and linear framework, a transformation was developed to derive eigensolutions of internal waves over a subcritical hyperbolic slope and to approximate the continental slope and shelf. The transformation converts a hyperbolic slope in physical space into a flat bottom in transform space while the governing equations of internal waves remain hyperbolic. The eigensolutions are further used to study the evolution of linear internal waves as it propagates to subcritical continental slope and shelf. The stream function, velocity, and vertical shear of velocity induced by internal wave at the hyperbolic slope are analytically expressed by superposition of the obtained eigensolutions. The velocity and velocity shear increase as the internal wave propagates to a hyperbolic slope. They become very large especially when the slope of internal wave rays approaches the topographic slope, which is consistent with the previous studies.展开更多
Internal waves appear frequently at the interface of a density-stratified fluid and they can cause severe damage on ocean structures.In this paper an extensive review on the study of the generation and propagation of ...Internal waves appear frequently at the interface of a density-stratified fluid and they can cause severe damage on ocean structures.In this paper an extensive review on the study of the generation and propagation of internal waves and the interactions between internal waves with ocean structures is given.Future research is discussed.Some comparative analyses are conducted for propagation of internal waves on slope topography in shallow water.The future developments regarding propagation and oceanographic characteristics of internal waves are also discussed.展开更多
基金Supported by the National Nature Science Foundation of China (No.40406008 and 40876015)the Foundation for Open Projects of the Key Lab of Physical Oceanography,The Ministry of Education,China (No.200309).
文摘In a two-dimensional and linear framework, a transformation was developed to derive eigensolutions of internal waves over a subcritical hyperbolic slope and to approximate the continental slope and shelf. The transformation converts a hyperbolic slope in physical space into a flat bottom in transform space while the governing equations of internal waves remain hyperbolic. The eigensolutions are further used to study the evolution of linear internal waves as it propagates to subcritical continental slope and shelf. The stream function, velocity, and vertical shear of velocity induced by internal wave at the hyperbolic slope are analytically expressed by superposition of the obtained eigensolutions. The velocity and velocity shear increase as the internal wave propagates to a hyperbolic slope. They become very large especially when the slope of internal wave rays approaches the topographic slope, which is consistent with the previous studies.
文摘Internal waves appear frequently at the interface of a density-stratified fluid and they can cause severe damage on ocean structures.In this paper an extensive review on the study of the generation and propagation of internal waves and the interactions between internal waves with ocean structures is given.Future research is discussed.Some comparative analyses are conducted for propagation of internal waves on slope topography in shallow water.The future developments regarding propagation and oceanographic characteristics of internal waves are also discussed.
