Propagation of internal waves up continental slope and shelf |
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| Authors: | Dejun Dai Wei Wang Fangli Qiao Yeli Yuan Wenxi Xiang |
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| Institution: | [1]The First Institute of Oceanograpty; SOA, Qingdao 266061, China [2]Key Laboratory of Marine Science and Numerical Modeling, SOA, Qingdao 266061, China [3]Physical Oceanography L.boratory. Ocean University of China, Qingdao 266003, China [4]National Marine Data and lnJormation Service, Tianjin 300171, China |
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| Abstract: | In a two-dimensional and linear framework, a transformation was developed to derive eigensolutions of internal waves over a subcriticai hyperbolic slope and to approximate the continental slope and shelf. The transformation converts a hyperbolic slope in physical space into a fiat 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. |
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| Keywords: | internal waves velocity and velocity shear hyperbolic slope transform method |
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