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

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.

scholarly journals Description of nonlinear internal wave interactions using Langevin methods

1980 ◽  
Vol 85 (C2) ◽  
pp. 1085 ◽  
Author(s):  
Neil Pomphrey ◽  
James D. Meiss ◽  
Kenneth M. Watson
Keyword(s):  
Internal Wave ◽  
Wave Interactions ◽  
Nonlinear Internal Wave

Low‐frequency acoustic propagation in a shallow water internal wave field

2006 ◽  
Vol 120 (5) ◽  
pp. 3032-3032
Author(s):  
Geoffrey F. Edelmann ◽  
Joseph F. Lingevitch ◽  
David C. Calvo
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Wave Field ◽  
Low Frequency ◽  
Acoustic Propagation ◽  
Internal Wave Field

scholarly journals Investigation of High-Frequency Internal Wave Interactions with an Enveloped Inertia Wave

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
B. Casaday ◽  
J. Crockett
Keyword(s):  
Internal Wave ◽  
High Frequency ◽  
Wave Breaking ◽  
Large Scale ◽  
Critical Level ◽  
Low Frequency ◽  
Small Scale ◽  
Wave Interactions ◽  
Frequency Wave ◽  
Action Density

Using ray theory, we explore the effect an envelope function has on high-frequency, small-scale internal wave propagation through a low-frequency, large-scale inertia wave. Two principal interactions, internal waves propagating through an infinite inertia wavetrain and through an enveloped inertia wave, are investigated. For the first interaction, the total frequency of the high-frequency wave is conserved but is not for the latter. This deviance is measured and results of waves propagating in the same direction show the interaction with an inertia wave envelope results in a higher probability of reaching that Jones' critical level and a reduced probability of turning points, which is a better approximation of outcomes experienced by expected real atmospheric interactions. In addition, an increase in wave action density and wave steepness is observed, relative to an interaction with an infinite wavetrain, possibly leading to enhanced wave breaking.

Nonlinear internal wave interactions

1981 ◽  
Author(s):  
M. A. Weissman ◽  
R. W. Metcalfe ◽  
J. J. Riley
Keyword(s):  
Internal Wave ◽  
Wave Interactions ◽  
Nonlinear Internal Wave

Low-Frequency Acoustic Propagation Through Crossing Internal Waves in Shallow Water

2020 ◽  
Vol 28 (03) ◽  
pp. 1950013
Author(s):  
Alexey Shmelev ◽  
Ying-Tsong Lin ◽  
James Lynch
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Internal Waves ◽  
Three Dimensional ◽  
Low Frequency ◽  
Acoustic Energy ◽  
Full Field ◽  
Wave Trains ◽  
Acoustic Ducts ◽  
Numerical Approaches

Crossing internal wave trains are commonly observed in continental shelf shallow water. In this paper, we study the effects of crossing internal wave structures on three-dimensional acoustic ducts with both theoretical and numerical approaches. We show that, depending on the crossing angle, acoustic energy, which is trapped laterally between internal waves of one train, can be either scattered, cross-ducted or reflected by the internal waves in the crossing train. We describe the governing physics of these effects and illustrate them for selected internal wave scenarios using full-field numerical simulations.

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