NLS equation of internal waves in weakly stratified ocean

1996 ◽  
Vol 14 (2) ◽  
pp. 121-127
Author(s):  
Xu Zhao-ting ◽  
Lou Shun-li ◽  
Tian Ji-wei ◽  
Samuel Shan-pu Shen
Keyword(s):  
Internal Waves ◽  
Nls Equation ◽  
Stratified Ocean

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.

On the damping of internal gravity waves in a continuously stratified ocean

1966 ◽  
Vol 25 (1) ◽  
pp. 121-142 ◽  
Author(s):  
Paul H. LeBlond
Keyword(s):  
Internal Waves ◽  
Gravity Waves ◽  
Internal Gravity Waves ◽  
Bottom Friction ◽  
Internal Tides ◽  
Attenuation Rate ◽  
Mixing Coefficients ◽  
Stratified Ocean ◽  
Shallow Seas ◽  
Strongly Damped

The problem studied here is that of the attenuation of internal waves through turbulent mixing in a weakly and exponentially stratified fluid. The equations are linearized and it is assumed that the action of turbulence can be parametrically represented by eddy mixing coefficients and that the influence of bottom friction is restricted to a thin bottom boundary layer. The simple case where there is no rotation and only one component to the stratification is first examined in detail, and the modifications caused by introducing rotation and a second component are subsequently investigated. Subject quantitatively to the choice made for the eddy coefficients, but qualitatively not strongly dependent on that choice, the following conclusions are drawn: (i) very short internal waves (length < 100 m) are strongly damped in basins of all depths; (ii) long internal waves or seiches in shallow seas (depth ≃ 100 m) will not last more than a few cycles as free oscillations; (iii) the attenuation rate for long internal tides is small enough that these should be observable very far from the coasts, but large enough to exclude the possibility of oceanic standing wave systems; (iv) for very long internal waves the damping is predominantly due to the effect of bottom friction, and the attenuation rate becomes almost independent of the actual form of the stratification present in the fluid.

Internal Wave Parameter Inversion at Malin Shelf Edge Based on the Nonlinear Schrödinger Equation

2013 ◽  
Vol 441 ◽  
pp. 388-392
Author(s):  
Xiao Yong Li ◽  
Jing Wang ◽  
Mei Ling Sun ◽  
Rui Ling Ma ◽  
Jun Min Meng
Keyword(s):  
Internal Wave ◽  
Internal Waves ◽  
Kdv Equation ◽  
Measured Data ◽  
Shelf Edge ◽  
Nls Equation ◽  
Sar Images ◽  
Detection Model ◽  
Phase Velocities ◽  
Model Based

We established a deep-sea internal wave detection model based on the nonlinear Schrödinger (NLS) equation and Synthetic Aperture Radar (SAR) images, and applied the model to the Malin Shelf edge, located at UK Continental Shelf, west of Scotland, to retrieve internal wave parameters. We selected the SAR images of internal waves at Malin Shelf edge, combined NLS equation with the action spectrum balance equation and Bragg scattering model, retrieved the amplitudes and phase velocities of the internal waves at Malin Shelf edge, and compared these data with those retrieved by the model based on KdV equation and those observed at the same period. The results show that the error between the data retrieved by our model and the measured data is very small, while the difference between the data retrieved by the detection model based on KdV equation and the measured data is significant. In addition, the phase velocities, calculated in our model and the model based on KdV equation, are both close to the measured data. Consequently, our model is valid and more accurate for the parameter inversion of internal waves in deep-sea area.

Mechanism of ice-band pattern formation caused by resonant interaction between sea ice and internal waves in a continuously stratified ocean

2021 ◽  
Vol 190 ◽  
pp. 102474
Author(s):  
Ryu Saiki ◽  
Humio Mitsudera ◽  
Ayumi Fujisaki-Manome ◽  
Noriaki Kimura ◽  
Jinro Ukita ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Sea Ice ◽  
Internal Waves ◽  
Resonant Interaction ◽  
Band Pattern ◽  
Stratified Ocean

scholarly journals Multimodal Internal Waves Generated over a Subcritical Ridge: Impact of the Upper-Ocean Stratification

2015 ◽  
Vol 45 (3) ◽  
pp. 904-926 ◽  
Author(s):  
Jieshuo Xie ◽  
Jiayi Pan ◽  
David A. Jay
Keyword(s):  
Internal Waves ◽  
Phase Speed ◽  
Upper Ocean ◽  
Strong Mixing ◽  
Energy Partition ◽  
Higher Modes ◽  
Ocean Stratification ◽  
Nonhydrostatic Model ◽  
Mode 2 ◽  
Stratified Ocean

AbstractInteraction of barotropic tides with subsurface topography is vital to ocean mixing. Yet the behavior of large-amplitude, nonlinear, internal solitary waves (ISWs) that can cause strong mixing remains poorly understood, especially that of higher-mode and multimodal internal waves. Therefore, a 2.5-dimensional, nonhydrostatic model with adjustable vertical resolution was developed to investigate effects of upper-ocean stratification on tidally induced multimodal internal waves and to show how they are generated by the subcritical ridge where only upward-propagating internal wave beams (IWBs) are present. The effects of the stratification on properties and characteristics of the excited IWBs and on the energy partition of the radiated mode-1 and mode-2 internal waves were investigated based on the model results. Higher modes of internal waves can also be effectively generated in the IWBs by the subcritical topography, and the contribution to IWBs from higher modes increases with the upper-ocean stratification. Mode-2 ISWs can be excited from the IWBs if both the tidal Froude number and the contribution to IWBs from mode-2 waves are sufficiently high (U0 is the tidal current speed, and c2 is the phase speed of mode-2 waves). In a moderately stratified upper ocean, both mode-1 and mode-2 ISWs can be produced, but for weak (strong) stratification, only mode-1 (mode-2) ISWs are generated. Further, it is found that the distance between two successive mode-1 or mode-2 ISW trains increases linearly with the upper-ocean stratification. The ratio of the kinetic energy to the available potential energy for the mode-2 ISWs increases with the upper-ocean stratification in a strongly stratified ocean.

Sign in / Sign up

Export Citation Format

Share Document