Internal wave eigenmodes and their weak nonlinear resonant interaction in a nonlinearly stratified fluid—A preliminary theoretical and experimental study

1992 ◽  
Vol 10 (1) ◽  
pp. 44-56
Author(s):  
Wang Yiming ◽  
Xu Zhaoting
Keyword(s):  
Experimental Study ◽  
Internal Wave ◽  
Resonant Interaction ◽  
Stratified Fluid

scholarly journals Experimental study on superharmonic wave generation by resonant interaction between internal wave modes

2020 ◽  
Vol 5 (7) ◽  
Author(s):  
Pauline Husseini ◽  
Dheeraj Varma ◽  
Thierry Dauxois ◽  
Sylvain Joubaud ◽  
Philippe Odier ◽  
...  
Keyword(s):  
Experimental Study ◽  
Internal Wave ◽  
Resonant Interaction ◽  
Wave Generation ◽  
Wave Modes

scholarly journals Numerical Study for Experiment on Wave Pattern of Internal Wave and Surface Wave in Stratified Fluid

2019 ◽  
Vol 33 (3) ◽  
pp. 236-244
Author(s):  
Ju-Han Lee ◽  
Kwan-Woo Kim ◽  
Kwang-Jun Paik ◽  
Won-Cheol Koo ◽  
Yeong-Gyu Kim
Keyword(s):  
Surface Wave ◽  
Internal Wave ◽  
Numerical Study ◽  
Wave Pattern ◽  
Stratified Fluid

A viscous internal wave in a stratified fluid whose buoyancy frequency varies with altitude

1975 ◽  
Vol 69 (3) ◽  
pp. 615-624 ◽  
Author(s):  
D. Gordon ◽  
U. R. Klement ◽  
T. N. Stevenson
Keyword(s):  
Internal Wave ◽  
Small Amplitude ◽  
Wave Amplitude ◽  
Stratified Fluid ◽  
Similarity Solutions ◽  
Buoyancy Frequency ◽  
Experimental Measurements ◽  
Two Dimensional ◽  
Dimensional Theory ◽  
Curved Paths

A viscous incompressible stably stratified fluid with a buoyancy frequency which varies slowly with altitude is considered. A simple harmonic localized disturbance generates an internal wave in which the energy propagates along curved paths. Small amplitude similarity solutions are obtained for two-dimensional and axisymmetric waves. It is found that under certain conditions the wave amplitude can increase with height. The two-dimensional theory compares quite well with experimental measurements.

scholarly journals Nonlinear interactions among standing surface and internal gravity waves

1974 ◽  
Vol 63 (4) ◽  
pp. 801-825 ◽  
Author(s):  
Terrence M. Joyce
Keyword(s):  
Energy Transfer ◽  
Steady State ◽  
Internal Wave ◽  
Surface Waves ◽  
Viscous Dissipation ◽  
Growth Rates ◽  
Internal Gravity Wave ◽  
Internal Gravity Waves ◽  
Resonant Interaction ◽  
Initial Growth

A laboratory study has been undertaken to measure the energy transfer from two surface waves to one internal gravity wave in a nonlinear, resonant interaction. The interacting waves form triads for which \[ \sigma_{1s} - \sigma_{2s} \pm\sigma_1 = 0\quad {\rm and}\quad \kappa_{1s} - \kappa_2s} \pm \kappa_I = 0; \] σj and κj being the frequency and wavenumber of the jth wave. Unlike previously published results involving single triplets of interacting waves, all waves here considered are standing waves. For both a diffuse, two-layer density field and a linearly increasing density with depth, the growth to steady state of a resonant internal wave is observed while two deep water surface eigen-modes are simultaneously forced by a paddle. Internal-wave amplitudes, phases and initial growth rates are compared with theoretical results derived assuming an arbitrary Boussinesq stratification, viscous dissipation and slight detuning of the internal wave. Inclusion of viscous dissipation and slight detuning permit predictions of steady-state amplitudes and phases as well as initial growth rates. Satisfactory agreement is found between predicted and measured amplitudes and phases. Results also suggest that the internal wave in a resonant triad can act as a catalyst, permitting appreciable energy transfer among surface waves.

scholarly journals Experimental study of the initial growth of a localized turbulent patch in a stably stratified fluid

2017 ◽  
Vol 66 ◽  
pp. 127-136 ◽  
Author(s):  
Lilly Verso ◽  
Maarten van Reeuwijk ◽  
Roi Gurka ◽  
Peter J. Diamessis ◽  
Zachary J. Taylor ◽  
...  
Keyword(s):  
Experimental Study ◽  
Stratified Fluid ◽  
Initial Growth

Internal Wave Breathers in the Slightly Stratified Fluid

2019 ◽  
Vol 32 (1) ◽  
pp. 69-77 ◽  
Author(s):  
Tatiana Talipova ◽  
Oxana Kurkina ◽  
Andrey Kurkin ◽  
Ekaterina Didenkulova ◽  
Efim Pelinovsky
Keyword(s):  
Internal Wave ◽  
Stratified Fluid
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