scholarly journals Temporal and cross-range coherence of sound traveling through shallow-water nonlinear internal wave packets

2006 ◽  
Vol 119 (6) ◽  
pp. 3717-3725 ◽  
Author(s):  
Timothy F. Duda
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Wave Packets ◽  
Nonlinear Internal Wave

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.

Modelling and observations of oceanic nonlinear internal wave packets affected by the Earth’s rotation

2017 ◽  
Vol 116 ◽  
pp. 146-158 ◽  
Author(s):  
Roger Grimshaw ◽  
Jose C. B. da Silva ◽  
Jorge M. Magalhaes
Keyword(s):  
Internal Wave ◽  
Wave Packets ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Nonlinear Internal Wave

Nonlinear Internal Wave Interactions with Low Frequency Shallow Water Sound—What is left to Do?

2010 ◽  
Author(s):  
James F. Lynch ◽  
Timothy F. Duda ◽  
Ying-Tsong Lin ◽  
Arthur E. Newhall ◽  
Jeffrey Simmen ◽  
...  
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Low Frequency ◽  
Wave Interactions ◽  
Nonlinear Internal Wave

scholarly journals Parameter dependence of acoustic mode quantities in an idealized model for shallow-water nonlinear internal wave ducts

2019 ◽  
Vol 146 (3) ◽  
pp. 1934-1945 ◽  
Author(s):  
Matthew A. Milone ◽  
Brendan J. DeCourcy ◽  
Ying-Tsong Lin ◽  
William L. Siegmann
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Acoustic Mode ◽  
Parameter Dependence ◽  
Nonlinear Internal Wave ◽  
Idealized Model

Acoustic mode‐coupling loss caused by internal wave packets in shallow water

1990 ◽  
Vol 87 (S1) ◽  
pp. S27-S27
Author(s):  
Xue‐zhen Zhang ◽  
Ji‐xun Zhou ◽  
Peter Rogers
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Mode Coupling ◽  
Wave Packets ◽  
Acoustic Mode ◽  
Coupling Loss
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