scholarly journals Frequency dependence and intensity fluctuations due to shallow water internal waves

2007 ◽  
Vol 122 (2) ◽  
pp. 747-760 ◽  
Author(s):  
Mohsen Badiey ◽  
Boris G. Katsnelson ◽  
James F. Lynch ◽  
Serguey Pereselkov
Keyword(s):  
Frequency Dependence ◽  
Shallow Water ◽  
Internal Waves ◽  
Intensity Fluctuations

Acoustic intensity fluctuations induced by internal waves in a shallow‐water waveguide

1996 ◽  
Vol 100 (4) ◽  
pp. 2666-2666
Author(s):  
Steven Finette ◽  
Altan Turgut ◽  
John Apel
Keyword(s):  
Shallow Water ◽  
Internal Waves ◽  
Acoustic Intensity ◽  
Intensity Fluctuations

Shallow Water Internal Waves and Associated Acoustic Intensity Fluctuations

2006 ◽  
Vol 56 (4) ◽  
pp. 485-493 ◽  
Author(s):  
P.V. Hareesh Kumar ◽  
K.V. Sanilkumar ◽  
V.N. Panchalai
Keyword(s):  
Shallow Water ◽  
Internal Waves ◽  
Acoustic Intensity ◽  
Intensity Fluctuations

A multi-layer model for nonlinear internal wave propagation in shallow water

2012 ◽  
Vol 695 ◽  
pp. 341-365 ◽  
Author(s):  
Philip L.-F. Liu ◽  
Xiaoming Wang
Keyword(s):  
Wave Propagation ◽  
Internal Wave ◽  
Shallow Water ◽  
Internal Waves ◽  
Bottom Topography ◽  
Laboratory Data ◽  
Constant Density ◽  
Layer Model ◽  
Fluid System ◽  
Nonlinear Internal Wave

AbstractIn this paper, a multi-layer model is developed for the purpose of studying nonlinear internal wave propagation in shallow water. The methodology employed in constructing the multi-layer model is similar to that used in deriving Boussinesq-type equations for surface gravity waves. It can also be viewed as an extension of the two-layer model developed by Choi & Camassa. The multi-layer model approximates the continuous density stratification by an $N$-layer fluid system in which a constant density is assumed in each layer. This allows the model to investigate higher-mode internal waves. Furthermore, the model is capable of simulating large-amplitude internal waves up to the breaking point. However, the model is limited by the assumption that the total water depth is shallow in comparison with the wavelength of interest. Furthermore, the vertical vorticity must vanish, while the horizontal vorticity components are weak. Numerical examples for strongly nonlinear waves are compared with laboratory data and other numerical studies in a two-layer fluid system. Good agreement is observed. The generation and propagation of mode-1 and mode-2 internal waves and their interactions with bottom topography are also investigated.

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