Modeling the interaction of acoustic and internal wave fields in shallow‐water environments

2002 ◽  
Vol 112 (5) ◽  
pp. 2309-2309
Author(s):  
Steven Finette
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Wave Fields

Acoustic mode coupling induced by internal wave fields in shallow water

1995 ◽  
Vol 98 (5) ◽  
pp. 2869-2869
Author(s):  
Steven Finette ◽  
Dirk Tielbuerger ◽  
Stephen Wolf
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Mode Coupling ◽  
Acoustic Mode ◽  
Wave Fields

Effect of tidal internal wave fields on shallow water acoustic propagation

2010 ◽  
Author(s):  
Ju Lin ◽  
Huan Wang ◽  
Junping Sun ◽  
Jeffrey Simmen ◽  
Ellen S. Livingston ◽  
...  
Keyword(s):  
Internal Wave ◽  
Shallow Water ◽  
Acoustic Propagation ◽  
Wave Fields

scholarly journals Experimental evidence of internal wave attractor signatures hidden in large-amplitude multi-frequency wave fields

2021 ◽  
Vol 915 ◽  
Author(s):  
F. Beckebanze ◽  
K.M. Grayson ◽  
L.R.M. Maas ◽  
S.B. Dalziel
Keyword(s):  
Internal Wave ◽  
Experimental Evidence ◽  
Large Amplitude ◽  
Frequency Wave ◽  
Wave Fields

Abstract

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.

Wave-induced mean flows in rotating shallow water with uniform potential vorticity

2018 ◽  
Vol 839 ◽  
pp. 408-429 ◽  
Author(s):  
Jim Thomas ◽  
Oliver Bühler ◽  
K. Shafer Smith
Keyword(s):  
Shallow Water ◽  
Potential Vorticity ◽  
Rotation Rate ◽  
Standing Waves ◽  
Leading Order ◽  
Mean Flow ◽  
Wave Fields ◽  
The Mean ◽  
Rotating Shallow Water ◽  
Wave Induced

Theoretical and numerical computations of the wave-induced mean flow in rotating shallow water with uniform potential vorticity are presented, with an eye towards applications in small-scale oceanography where potential-vorticity anomalies are often weak compared to the waves. The asymptotic computations are based on small-amplitude expansions and time averaging over the fast wave scale to define the mean flow. Importantly, we do not assume that the mean flow is balanced, i.e. we compute the full mean-flow response at leading order. Particular attention is paid to the concept of modified diagnostic relations, which link the leading-order Lagrangian-mean velocity field to certain wave properties known from the linear solution. Both steady and unsteady wave fields are considered, with specific examples that include propagating wavepackets and monochromatic standing waves. Very good agreement between the theoretical predictions and direct numerical simulations of the nonlinear system is demonstrated. In particular, we extend previous studies by considering the impact of unsteady wave fields on the mean flow, and by considering the total kinetic energy of the mean flow as a function of the rotation rate. Notably, monochromatic standing waves provide an explicit counterexample to the often observed tendency of the mean flow to decrease monotonically with the background rotation rate.

Acoustic intensity and phase variability caused by time‐evolving internal wave fields

1999 ◽  
Vol 105 (2) ◽  
pp. 1311-1311 ◽  
Author(s):  
Steven Finette ◽  
Marshall Orr ◽  
Altan Turgut ◽  
Stephen Wolf ◽  
Bruce Pasewark ◽  
...  
Keyword(s):  
Internal Wave ◽  
Acoustic Intensity ◽  
Wave Fields ◽  
Phase Variability

scholarly journals Interaction Features of Internal Wave Breathers in a Stratified Ocean

Fluids ◽  
2020 ◽  
Vol 5 (4) ◽  
pp. 205
Author(s):  
Ekaterina Didenkulova ◽  
Efim Pelinovsky
Keyword(s):  
Internal Wave ◽  
Internal Waves ◽  
Gravity Waves ◽  
Fourth Order ◽  
Numerical Experiments ◽  
Vries Equation ◽  
Internal Gravity Waves ◽  
Wave Fields ◽  
Tidal Waves ◽  
Stratified Ocean

Oscillating wave packets (breathers) are a significant part of the dynamics of internal gravity waves in a stratified ocean. The formation of these waves can be provoked, in particular, by the decay of long internal tidal waves. Breather interactions can significantly change the dynamics of the wave fields. In the present study, a series of numerical experiments on the interaction of breathers in the frameworks of the etalon equation of internal waves—the modified Korteweg–de Vries equation (mKdV)—were conducted. Wave field extrema, spectra, and statistical moments up to the fourth order were calculated.

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