摘要
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.
在一个二维、线性的框架，转变被开发在一个代用品上导出内部波浪的 eigensolutions 批评夸张斜坡并且接近大陆人斜坡和架。当内部波浪的管理方程仍然保持夸张时，转变在变换空间在物理空间把一个夸张斜坡变换成一个扁平的底部。当它宣传代替批评大陆人斜坡和架， eigensolutions 进一步被用来学习线性内部波浪的进化。溪流功能，速度，并且垂直内部波浪在夸张斜坡导致的速度砍经分解被获得的 eigensolutions 的重叠表示。速度和速度砍内部波浪宣传到一个夸张斜坡的增加。当内部波浪光线的斜坡接近地志的斜坡时，他们特别变得很大，它与以前的研究一致。
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).
